Deck 4: Electricity and Magnetism Are Unified

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Question
An iron atom's nucleus has 26 protons and 30 neutrons. A helium atom's nucleus has 2 protons and 2 neutrons. Solid iron is much denser than helium gas. How does the total positive charge in a gram of iron compare to that of a gram of helium?

A) Iron has more positive charge than helium per gram.
B) Iron has the same positive charge as helium per gram.
C) Iron has less positive charge than helium per gram.
D) There is not enough information to tell.
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Question
An "up" quark has a charge of 2/3-2 / 3 times the electron's charge. A "strange" quark has a charge of +1/3+1 / 3 times the electron's charge. What is the net charge of the quark triplet consisting of two up quarks and a strange quark? (This quark triplet is one of a family of three " Σ\Sigma particles.")

A) +(5/3)e+(5 / 3) e
B) +e+e
C) +(1/3)e+(1 / 3) e
D) zero
E) (1/3)e-(1 / 3) e
F) -e
G) -(5/3)e
Question
An electron a distance dd from a proton feels an electrostatic force of magnitude Fe\left|\vec{F}_{e}\right| . Imagine that we move the electron so that it is a distance 2d2 d from a helium nucleus (which has two protons and two neutrons). The magnitude of the force on the electron now is bFeb\left|\vec{F}_{e}\right| , where bb is

A) 4
B) 2
C) 1
D) 1/2\mathbf{1 / 2}
E) 1/41 / 4
Question
Consider the situation shown below. Assume that the charges are point particles and that point T\mathrm{T} is twice as far from the positive particle as it is from the negative particle. At which point might the electric field be zero? (If no labelled point seems exactly right, choose the closest.)
 <strong>Consider the situation shown below. Assume that the charges are point particles and that point  \mathrm{T}  is twice as far from the positive particle as it is from the negative particle. At which point might the electric field be zero? (If no labelled point seems exactly right, choose the closest.)  </strong> A) A B) B C) C D) D E) E F) F G) T <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
F) F
G) T
Question
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.    -We can consider a set of all chlorine atoms in a block of salt (sodium chloride) to be an extended object.<div style=padding-top: 35px>

-We can consider a set of all chlorine atoms in a block of salt (sodium chloride) to be an "extended object."
Question
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.
 <strong>The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.    -A neutron?</strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

-A neutron?

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.
 <strong>The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.    -A helium nucleus?</strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

-A helium nucleus?

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
What is the direction of the electric field vector E\vec{E} at point PP in the situation shown below? (Assume that the balls are actually point particles equidistant from PP .)
 <strong>What is the direction of the electric field vector  \vec{E}  at point  P  in the situation shown below? (Assume that the balls are actually point particles equidistant from  P .)  </strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I) CC J) DD <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC
J) DD
Question
What is the direction of the electric field vector E\vec{E} at point PP in the situation shown below? (Assume that the balls are actually point particles, they are equally spaced, and that the negative particles are equidistant from PP .)
 <strong>What is the direction of the electric field vector  \vec{E}  at point  P  in the situation shown below? (Assume that the balls are actually point particles, they are equally spaced, and that the negative particles are equidistant from  P .)  </strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
What is the direction of the electric field vector E\vec{E} at point PP in the situation shown below? (Assume that the balls are actually point particles with the same magnitudes of charge.)
 <strong>What is the direction of the electric field vector  \vec{E}  at point  P  in the situation shown below? (Assume that the balls are actually point particles with the same magnitudes of charge.)  </strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I) CC J) DD <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC
J) DD
Question
A point where the electric field created by two charged particles is zero must lie somewhere on the infinite line that goes through those particles.
Question
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -  (a) The electric field of the charged particle causes the initially neutral atom to become charged. T or F?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I) CC J) DD <div style=padding-top: 35px>
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

- <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -  (a) The electric field of the charged particle causes the initially neutral atom to become charged. T or F?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I) CC J) DD <div style=padding-top: 35px>
(a) The electric field of the charged particle causes the initially neutral atom to become charged. T or F?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC
J) DD
Question
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(b) What is the direction of the neutral atom's dipole moment after the charged particle is brought near?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(b) What is the direction of the neutral atom's dipole moment after the charged particle is brought near?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(c) What is the direction of the neutral atom's electric field at the location of the charged particle?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I) CC J) DD <div style=padding-top: 35px>
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(c) What is the direction of the neutral atom's electric field at the location of the charged particle?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC
J) DD
Question
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(d) What is the direction of the force that the interaction between the particle and atom exerts on the particle?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(d) What is the direction of the force that the interaction between the particle and atom exerts on the particle?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(e) What is the direction of the force that the interaction between the particle and atom exerts on the atom?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathbf{C C}  J) DD <div style=padding-top: 35px>
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(e) What is the direction of the force that the interaction between the particle and atom exerts on the atom?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathbf{C C}
J) DD
Question
The electric field created by a dipole at an arbitrary point in space around that dipole is always parallel to the dipole's dipole moment vector.
Question
The dipole moment of an electrically polarized atom always points in the same direction as the external field that has polarized it.
Question
Imagine that we place a dipole a distance rr from a neutral atom, as shown below.
 <strong>Imagine that we place a dipole a distance  r  from a neutral atom, as shown below.    -(a) Will the dipole polarize the neutral atom? Choose E if not or specify the direction of the neutral atom's induced dipole moment from figure E2.12 if nonzero.</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

-(a) Will the dipole polarize the neutral atom? Choose E if not or specify the direction of the neutral atom's induced dipole moment from figure E2.12 if nonzero.

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
Imagine that we place a dipole a distance rr from a neutral atom, as shown below.
 <strong>Imagine that we place a dipole a distance  r  from a neutral atom, as shown below.    -(b) Use figure E2.12 to specify the direction of the net force that the neutral atom exerts on the dipole. (Hint: Think of any dipole(s) as independent charged particles.</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

-(b) Use figure E2.12 to specify the direction of the net force that the neutral atom exerts on the dipole. (Hint: Think of any dipole(s) as independent charged particles.

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
If the electric field at any point inside a conductor is nonzero, the metal is not in static equilibrium.
Question
Imagine a neutral atom near an infinite charged plane. The neutral atom will be polarized by the plane's field.
Question
Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?
 <strong>Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?    -(a) What is the direction at point  P_{1}  just inside the shell?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

-(a) What is the direction at point P1P_{1} just inside the shell?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?
 <strong>Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?    -(b) What is the direction at point  P_{2}  just outside the shell?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathbf{C C}  J) DD <div style=padding-top: 35px>

-(b) What is the direction at point P2P_{2} just outside the shell?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathbf{C C}
J) DD
Question
Imagine that we place a spherical shell with a uniformly distributed positive charge QQ and a particle with a negative charge 4Q-4 Q as shown below. What are the directions of the total electric field vectors at the two points shown?
 <strong>Imagine that we place a spherical shell with a uniformly distributed positive charge  Q  and a particle with a negative charge  -4 Q  as shown below. What are the directions of the total electric field vectors at the two points shown?    -(a) What is the direction at point  P_{1}  at the shell's center?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathbf{C C}  J) DD <div style=padding-top: 35px>

-(a) What is the direction at point P1P_{1} at the shell's center?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathbf{C C}
J) DD
Question
Imagine that we place a spherical shell with a uniformly distributed positive charge QQ and a particle with a negative charge 4Q-4 Q as shown below. What are the directions of the total electric field vectors at the two points shown?
 <strong>Imagine that we place a spherical shell with a uniformly distributed positive charge  Q  and a particle with a negative charge  -4 Q  as shown below. What are the directions of the total electric field vectors at the two points shown?    -(b) What is the direction at point  \mathrm{P}_{2}  ?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathrm{CC}  J) DD <div style=padding-top: 35px>

-(b) What is the direction at point P2\mathrm{P}_{2} ?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
Question
Consider two concentric spherical shells, one with radius RR and one with radius 2R2 R . Both have the same uniformly distributed charge QQ . Let E0Q/(4πε0R2)E_{0} \equiv Q /\left(4 \pi \varepsilon_{0} R^{2}\right) . Which of the values below is closest to the magnitude of the electric field vector created by these shells at a point PP just barely inside the outer shell?

A) zero
B) 14E0\frac{1}{4} E_{0}
C) 12E0\frac{1}{2} E_{0}
D) E0E_{0}
E) 2E02 E_{0}
F) 4E04 E_{0}
G) Other
Question
Consider a solid sphere with radius RR with a charge uniformly spread throughout its volume. The magnitude of the sphere's electric field is E1\left|\vec{E}_{1}\right| at a point P1P_{1} on the sphere's surface and is E2\left|\vec{E}_{2}\right| at a point P2P_{2} at a distance 12R\frac{1}{2} R from the sphere's center. In the relationship E1=bE2\left|\vec{E}_{1}\right|=b\left|\vec{E}_{2}\right| , what is the value of bb ?

A) 0
B) 1
C) 2
D) 4
E) 8
F) Other
Question
The finite wire shown below has a uniformly distributed negative charge. Which of the arrows below is closest to the direction of the field vector that the wire produces at point PP ? (Point to a letter on the back cover with two fingers to specify a double-letter answer.)
 <strong>The finite wire shown below has a uniformly distributed negative charge. Which of the arrows below is closest to the direction of the field vector that the wire produces at point  P  ? (Point to a letter on the back cover with two fingers to specify a double-letter answer.)  </strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
Question
The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(a) At point  P 1  a small distance above the disk's center?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(a) At point  P 1  a small distance above the disk's center?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>

-(a) At point P1P 1 a small distance above the disk's center?

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
Question
The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(b) At point  P 2  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(b) At point  P 2  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>

-(b) At point P2P 2 ?

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
Question
The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(c) At point  P 3  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(c) At point  P 3  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD <div style=padding-top: 35px>

-(c) At point P3P 3 ?

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
Question
The units of the electric field E\vec{E} are N/C. We can alternatively say the field has units of V/mV / m .
Question
A single particle can have potential energy.
Question
Even if we define the potential to be zero at infinity, the potential created by a charge distribution can be negative at another point.
Question
Consider a point PP midway between two identical charged particles. The potential ϕ\phi at point PP is zero.
Question
Consider a point PP midway between two particles, one with charge q-q and one with charge qq . The electric field vector E\vec{E} at point PP is zero.
Question
Consider a point PP midway between two identical charged particles. The electric field vector E\vec{E} at point PP is zero
Question
Consider a point PP midway between two identical charged particles. The electric field vector E\vec{E} at point PP is zero
Question
In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude q|q| but whose signs may be different.
 <strong>In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude  |q|  but whose signs may be different.   The potential at point  P  has the same value  \phi=2|q| / 4 \pi \varepsilon_{0} d  in both cases (the reference position is infinity). In which case is the electric field magnitude  |\vec{E}|  larger at point  P  ?</strong> A) Case  A  B) Case  B  C)  |\vec{E}|  as the same nonzero value in both cases. D)  |\vec{E}|  is zero in both cases. E) The answer depends on information not specified. <div style=padding-top: 35px>
The potential at point PP has the same value ϕ=2q/4πε0d\phi=2|q| / 4 \pi \varepsilon_{0} d in both cases (the reference position is infinity). In which case is the electric field magnitude E|\vec{E}| larger at point PP ?

A) Case AA
B) Case BB
C) E|\vec{E}| as the same nonzero value in both cases.
D) E|\vec{E}| is zero in both cases.
E) The answer depends on information not specified.
Question
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(a) At which labeled point is the potential largest?</strong> A) A B) B C) C D) D E) E  F . None of the labeled points <div style=padding-top: 35px>

-(a) At which labeled point is the potential largest?

A) A
B) B
C) C
D) D
E) E
FF . None of the labeled points
Question
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(b) At which is the potential smallest?</strong> A) A B) B C) C D) D E) E F) None of the labeled points <div style=padding-top: 35px>

-(b) At which is the potential smallest?

A) A
B) B
C) C
D) D
E) E
F) None of the labeled points
Question
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(c) At which is the potential zero?</strong> A) A B) B C) C D) D E) E F) None of the labeled points <div style=padding-top: 35px>

-(c) At which is the potential zero?

A) A
B) B
C) C
D) D
E) E
F) None of the labeled points
Question
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(d) At which is the potential between zero and  \phi D  ?</strong> A) A B) B C) C D) D E) E F) None of the labeled points <div style=padding-top: 35px>

-(d) At which is the potential between zero and ϕD\phi D ?

A) A
B) B
C) C
D) D
E) E
F) None of the labeled points
Question
Consider a region of space where the electric field is uniform with magnitude E|\vec{E}| , as shown below.
 Consider a region of space where the electric field is uniform with magnitude  |\vec{E}| , as shown below.   What is the value of the specified potential difference in each case? (a)  \phi_{B}-\phi_{A}  ? (b)  \phi_{C}-\phi_{B}  ? (c)  \phi_{A}-\phi_{C}  ? Select your responses from the following choices: A.  +|\vec{E}| h  B.  -|\vec{E}| h  C.  +|\vec{E}| w  D.  -|\vec{E}| w  E.  +|\vec{E}| \sqrt{h^{2}+w^{2}}  F.  -|\vec{E}| \sqrt{h^{2}+w^{2}}  T. zero<div style=padding-top: 35px>
What is the value of the specified potential difference in each case?
(a) ϕBϕA\phi_{B}-\phi_{A} ?
(b) ϕCϕB\phi_{C}-\phi_{B} ?
(c) ϕAϕC\phi_{A}-\phi_{C} ?
Select your responses from the following choices:
A. +Eh+|\vec{E}| h
B. Eh-|\vec{E}| h
C. +Ew+|\vec{E}| w
D. Ew-|\vec{E}| w
E. +Eh2+w2+|\vec{E}| \sqrt{h^{2}+w^{2}}
F. Eh2+w2-|\vec{E}| \sqrt{h^{2}+w^{2}}
T. zero
Question
Consider the electric field shown below:
Consider the electric field shown below:   This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).<div style=padding-top: 35px>
This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).
Question
Consider the electric field shown below:
Consider the electric field shown below:   (This hypothetical field is uniform to the left of the boundary shown and zero to the right of that boundary.) This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).<div style=padding-top: 35px>
(This hypothetical field is uniform to the left of the boundary shown and zero to the right of that boundary.) This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).
Question
If ϕ=azx2/y\phi=a z x^{2} / y (where aa is a constant) then ϕ/x\partial \phi / \partial x is:

A) 2x2 x
B) 2axa/y2+a2 a x-a / y^{2}+a
C) 2azx/yazx2/y2+ax2/y2 a z x / y-a z x^{2} / y^{2}+a x^{2} / y
D) 2azxly
E) azx3/3ya z x^{3} / 3 y
F) something else (specify)
Question
Consider the equipotential diagram shown below and to the left:
 <strong>Consider the equipotential diagram shown below and to the left:   In what direction does the electric field at point  P  point?</strong> A) A B) B C) C D) D <div style=padding-top: 35px>
In what direction does the electric field at point PP point?

A) A
B) B
C) C
D) D
Question
Consider the equipotential diagram shown in problem E3T.12. In the expression EP=bEQ\left|\vec{E}_{P}\right|=b\left|\vec{E}_{Q}\right| , what is the approximate value of bb ?
 <strong>Consider the equipotential diagram shown in problem E3T.12. In the expression  \left|\vec{E}_{P}\right|=b\left|\vec{E}_{Q}\right| , what is the approximate value of  b  ?  </strong> A) 8 B) 2 C) 0 D)  \mathbf{1 / 2}  E)  1 / 8  F) Some other value (specify) <div style=padding-top: 35px>

A) 8
B) 2
C) 0
D) 1/2\mathbf{1 / 2}
E) 1/81 / 8
F) Some other value (specify)
Question
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(a) In which case is the value of ExE_{x} largest at x=2 cmx=2 \mathrm{~cm} ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(a) In which case is the value of  E_{x}  largest at  x=2 \mathrm{~cm}  ?  <div style=padding-top: 35px>
Question
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(b) In which case is the value of ExE_{x} smallest at x=2 cmx=2 \mathrm{~cm} ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(b) In which case is the value of  E_{x}  smallest at  x=2 \mathrm{~cm}  ?  <div style=padding-top: 35px>
Question
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(c) In which case is the value of ExE_{x} the same at x=2 cmx=2 \mathrm{~cm} as it is in case AA ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(c) In which case is the value of  E_{x}  the same at  x=2 \mathrm{~cm}  as it is in case  A  ?  <div style=padding-top: 35px>
Question
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(d) In which case is the Ex=0E_{x}=0 at x=2 cmx=2 \mathrm{~cm} ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(d) In which case is the  E_{x}=0  at  x=2 \mathrm{~cm}  ?  <div style=padding-top: 35px>
Question
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(a) Which arrow best indicates the direction of the electric field at point  P  created by particle  B  ?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD <div style=padding-top: 35px>

-(a) Which arrow best indicates the direction of the electric field at point PP created by particle BB ?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
Question
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(b) Which arrow best indicates the direction of the electric field at point  P  created by particle  C  ?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD <div style=padding-top: 35px>

-(b) Which arrow best indicates the direction of the electric field at point PP created by particle CC ?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
Question
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(c) Which arrow best indicates the direction of the electric field at point  P  created by the charge distribution on the sphere's surface?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD <div style=padding-top: 35px>

-(c) Which arrow best indicates the direction of the electric field at point PP created by the charge distribution on the sphere's surface?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
Question
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(d) Which arrow best indicates the position (relative to  P  ) of the greatest concentration of positive charge on the sphere's surface?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD <div style=padding-top: 35px>

-(d) Which arrow best indicates the position (relative to PP ) of the greatest concentration of positive charge on the sphere's surface?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
Question
Consider the situation below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with the same negative charge. Which choice shown to the right best indicates the direction of the electric field at point PP ? (If you are using the letters on the back cover to indicate your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with the same negative charge. Which choice shown to the right best indicates the direction of the electric field at point  P  ? (If you are using the letters on the back cover to indicate your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)  </strong> A) A B) B C) C D) D E: Zero E) Zero F) AA G) BB H) CC I) DD <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E: Zero
E) Zero
F) AA
G) BB
H) CC
I) DD
Question
Momentum is not conserved in an inelastic collision.
Question
Imagine a neutral atom near an infinite charged plane. Will the atom be attracted to the plate (A), repelled by it (B) or experience no force from it (C)?
(A) A
(B) B
(C) C\mathrm{C}
Question
A closed metal can (in static equilibrium) will perfectly shield a point in its interior from the static field of any external charged particle(s).
Question
Every fundamental charged particle has an antiparticle such that when the particle and antiparticle collide, they
annihilate each other to create two (uncharged) photons. What does conservation of charge imply about how a
particle's charge compares to that of its antiparticle? The particle's and antiparticle's charges
A. must be identical in sign and magnitude.
B. must have opposite signs and the same magnitude.
C. must have opposite signs, maybe different magnitudes.
D. must each be zero.
E. are not constrained at all by charge conservation.
Question
Because of electrostatic polarization, a sufficiently charged rubber balloon will attract a neutral horizontal insulating plate strongly enough so that the balloon sticks firmly to the plate's bottom. If the horizontal plate is a conductor instead of an insulator, the charged balloon will

A) stick only if the plate is connected to the earth.
B) stick only if the plate is insulated from the earth.
C) stick in either case.
D) not stick at all.
E) repel the plate.
Question
Imagine that we have two identical metal spheres on insulating stands that we give the same negative charge. If we slowly bring the spheres closer and closer together, the charge per unit area σ\boldsymbol{\sigma} on each sphere will at the point nearest the other sphere

A) become increasingly negative.
B) become less negative.
C) remain constant.
Question
Two metal spheres on insulating stands have the same positive charge QQ . If we reduce the distance between the spheres' centers by a factor of two, the magnitude of the repulsive force between the spheres increases by

A) a bit less than a factor of two.
B) exactly a factor of two.
C) a bit more than a factor of two.
D) a bit less than a factor of four.
E) exactly a factor of four.
F) a bit more than a factor of four.
Question
Suppose we suspend a negatively charged ball like a pendulum inside a hollow but completely enclosing metal box. Assume that the ball hangs a few inches from the box's left vertical face. Imagine that we now bring a very strong positively charged object to a point just to the left of the box's left face, so that it is only a few inches away from the suspended ball (though the box's left face is between them). The ball will be deflected

A) strongly toward the external object.
B) strongly away from the external object.
C) weakly toward the external object.
D) weakly away from the external object.
E) not the least little bit.
Question
Suppose the two plates of a parallel-plate capacitor have fixed charges QQ and Q-Q . If we double the gap between the plates, the:

-(a) potential difference between the plates,

A) quadruples.
B) doubles.
C) remains the same.
D) is reduced by a factor of two.
E) is reduced by a factor of four.
F) some other result (specify).
Question
Suppose the two plates of a parallel-plate capacitor have fixed charges QQ and Q-Q . If we double the gap between the plates, the:

-(b) the capacitor's capacitance,

A) quadruples.
B) doubles.
C) remains the same.
D) is reduced by a factor of two.
E) is reduced by a factor of four.
F) some other result (specify).
Question
Suppose the two plates of a parallel-plate capacitor have fixed charges QQ and Q-Q . If we double the gap between the plates, the:

-(c) the energy stored in the capacitor

A) quadruples.
B) doubles.
C) remains the same.
D) is reduced by a factor of two.
E) is reduced by a factor of four.
F) some other result (specify).
Question
Assume that the Drude model accurately describes a certain metal. If we increase the metal's temperature, its conductivity

A) should increase.
B) should decrease.
C) should remain the same.
D) changes in a way that depends on the specific metal.
Question
If each copper atom in a wire were to contribute two conduction electrons instead of just one, its conductivity would

A) increase by a factor of 4 .
B) increase by a factor of 2.
C) remain the same.
D) decrease by a factor of 2 .
E) decrease by a factor of 4 .
Question
Two wires have a nearly equal electron number density. Assume that the electric field in each wire points directly along the wire, that electric fields in the two wires have the same magnitude, but that the conductivity in wire AA is twice that in wire BB . This means that the drift velocity in wire AA is bb times that in wire BB , where bb is

A) 4 .
B) 2.
C) 1 .
D) 1/21 / 2 .
E) 1/41 / 4 .
F) Impossible to determine from the given information.
Question
Why do you think air is such a poor conductor com-pared to a metal (at normal field strengths)?

A) Air is much less dense than a metal.
B) Electrons can travel much farther in a metal before col-liding with an atom than they can in air.
C) Air molecules are much bigger than metal atoms.
D) Electrons move much more slowly in air.
E) Air normally has very few free charge carriers.
Question
Imagine that at a certain place in a river, water moves horizontally to the left. Consider an oriented sur-face facing upward. The flux of water velocity v\vec{v} through this surface is

A) positive.
B) negative.
C) zero.
D) Impossible to determine from the given information.
Question
Imagine that at a certain place in a river, water moves horizontally to the left. Consider an oriented sur-face that faces in a direction that is 3030^{\circ} upward of right. The flux of water velocity v\vec{v} through this surface is

A) positive.
B) negative.
C) zero.
D) Impossible to determine from the given information.
Question
Consider two vector fields U\vec{U} and W\vec{W} . At every point in space, U\vec{U} points vertically upward, while W\vec{W} points radially away from some central point. But U=W=|\vec{U}|=|\vec{W}|= a fixed constant everywhere. Assume that we calculate the flux of U\vec{U} and W\vec{W} through hemispherical surfaces having the same size and orientation, as shown below. Assume that the tile vectors on each surface point outward. Also assume that in the right-hand case, the central point from which the field W\vec{W} radiates is at the center of the flat plane at the bottom of the hemisphere. Do not assume that these fields necessarily represent particle flows.
 Consider two vector fields  \vec{U}  and  \vec{W} . At every point in space,  \vec{U}  points vertically upward, while  \vec{W}  points radially away from some central point. But  |\vec{U}|=|\vec{W}|=  a fixed constant everywhere. Assume that we calculate the flux of  \vec{U}  and  \vec{W}  through hemispherical surfaces having the same size and orientation, as shown below. Assume that the tile vectors on each surface point outward. Also assume that in the right-hand case, the central point from which the field  \vec{W}  radiates is at the center of the flat plane at the bottom of the hemisphere. Do not assume that these fields necessarily represent particle flows.   How do the fluxes of these fields through the two identical hemispherical surfaces compare? A. Field  \vec{U}  has the larger flux. B. Field  \vec{W}  has the larger flux. C. Both fields have the same flux. D. The result depends on the surface's radius. E. We need more information to compare the fluxes.<div style=padding-top: 35px>
How do the fluxes of these fields through the two identical hemispherical surfaces compare?
A. Field U\vec{U} has the larger flux.
B. Field W\vec{W} has the larger flux.
C. Both fields have the same flux.
D. The result depends on the surface's radius.
E. We need more information to compare the fluxes.
Question
Consider the segment of cylindrical metal wire shown below. Note that the drift speed of electrons is increasing in the wire as we move to the right.
 <strong>Consider the segment of cylindrical metal wire shown below. Note that the drift speed of electrons is increasing in the wire as we move to the right.   Assume that charge cannot move off the wire. The total charge between the two cross-sectional areas  A  and  B  is</strong> A) Increasing. B) Decreasing. C) Remaining the same. <div style=padding-top: 35px>
Assume that charge cannot move off the wire. The total charge between the two cross-sectional areas AA and BB is

A) Increasing.
B) Decreasing.
C) Remaining the same.
Question
Consider the segment of cylindrical metal wire shown below. Assume that the drift speed of electrons is everywhere the same in the segment.
 <strong>Consider the segment of cylindrical metal wire shown below. Assume that the drift speed of electrons is everywhere the same in the segment.   Note that area  B  is tilted so that its nose vector makes an angle of  \theta<90^{\circ}  with the drift velocity direction but still spans the wire's entire cross section. How do the current density fluxes through areas  A  and  B  compare?</strong> A) The flux through  A  is greater than the flux through  B . B) The flux through  B  is greater than the flux through  A . C) The fluxes through  A  and  B  are the same. <div style=padding-top: 35px>
Note that area BB is tilted so that its nose vector makes an angle of θ<90\theta<90^{\circ} with the drift velocity direction but still spans the wire's entire cross section. How do the current density fluxes through areas AA and BB compare?

A) The flux through AA is greater than the flux through BB .
B) The flux through BB is greater than the flux through AA .
C) The fluxes through AA and BB are the same.
Question
Suppose that at a given point in a given piece of metal, the drift velocities of electrons are oriented leftward. The direction of the conventional current in this metal

A) is leftward.
B) is rightward.
C) is zero.
D) depends on the type of metal.
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Deck 4: Electricity and Magnetism Are Unified
2
An iron atom's nucleus has 26 protons and 30 neutrons. A helium atom's nucleus has 2 protons and 2 neutrons. Solid iron is much denser than helium gas. How does the total positive charge in a gram of iron compare to that of a gram of helium?

A) Iron has more positive charge than helium per gram.
B) Iron has the same positive charge as helium per gram.
C) Iron has less positive charge than helium per gram.
D) There is not enough information to tell.
Iron has less positive charge than helium per gram.
3
An "up" quark has a charge of 2/3-2 / 3 times the electron's charge. A "strange" quark has a charge of +1/3+1 / 3 times the electron's charge. What is the net charge of the quark triplet consisting of two up quarks and a strange quark? (This quark triplet is one of a family of three " Σ\Sigma particles.")

A) +(5/3)e+(5 / 3) e
B) +e+e
C) +(1/3)e+(1 / 3) e
D) zero
E) (1/3)e-(1 / 3) e
F) -e
G) -(5/3)e
+e+e
4
An electron a distance dd from a proton feels an electrostatic force of magnitude Fe\left|\vec{F}_{e}\right| . Imagine that we move the electron so that it is a distance 2d2 d from a helium nucleus (which has two protons and two neutrons). The magnitude of the force on the electron now is bFeb\left|\vec{F}_{e}\right| , where bb is

A) 4
B) 2
C) 1
D) 1/2\mathbf{1 / 2}
E) 1/41 / 4
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5
Consider the situation shown below. Assume that the charges are point particles and that point T\mathrm{T} is twice as far from the positive particle as it is from the negative particle. At which point might the electric field be zero? (If no labelled point seems exactly right, choose the closest.)
 <strong>Consider the situation shown below. Assume that the charges are point particles and that point  \mathrm{T}  is twice as far from the positive particle as it is from the negative particle. At which point might the electric field be zero? (If no labelled point seems exactly right, choose the closest.)  </strong> A) A B) B C) C D) D E) E F) F G) T

A) A
B) B
C) C
D) D
E) E
F) F
G) T
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6
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.    -We can consider a set of all chlorine atoms in a block of salt (sodium chloride) to be an extended object.

-We can consider a set of all chlorine atoms in a block of salt (sodium chloride) to be an "extended object."
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7
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.
 <strong>The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.    -A neutron?</strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD

-A neutron?

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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8
The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.
 <strong>The electric field vector at a certain point in space points in the direction labelled BB in figure E1.9.    -A helium nucleus?</strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD

-A helium nucleus?

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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9
What is the direction of the electric field vector E\vec{E} at point PP in the situation shown below? (Assume that the balls are actually point particles equidistant from PP .)
 <strong>What is the direction of the electric field vector  \vec{E}  at point  P  in the situation shown below? (Assume that the balls are actually point particles equidistant from  P .)  </strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I) CC J) DD

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC
J) DD
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10
What is the direction of the electric field vector E\vec{E} at point PP in the situation shown below? (Assume that the balls are actually point particles, they are equally spaced, and that the negative particles are equidistant from PP .)
 <strong>What is the direction of the electric field vector  \vec{E}  at point  P  in the situation shown below? (Assume that the balls are actually point particles, they are equally spaced, and that the negative particles are equidistant from  P .)  </strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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11
What is the direction of the electric field vector E\vec{E} at point PP in the situation shown below? (Assume that the balls are actually point particles with the same magnitudes of charge.)
 <strong>What is the direction of the electric field vector  \vec{E}  at point  P  in the situation shown below? (Assume that the balls are actually point particles with the same magnitudes of charge.)  </strong> A) A B) B C) C D) D E) zero F) Other G) AA H) BB I) CC J) DD

A) A
B) B
C) C
D) D
E) zero
F) Other
G) AA
H) BB
I) CC
J) DD
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12
A point where the electric field created by two charged particles is zero must lie somewhere on the infinite line that goes through those particles.
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13
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -  (a) The electric field of the charged particle causes the initially neutral atom to become charged. T or F?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I) CC J) DD
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

- <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -  (a) The electric field of the charged particle causes the initially neutral atom to become charged. T or F?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I) CC J) DD
(a) The electric field of the charged particle causes the initially neutral atom to become charged. T or F?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC
J) DD
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14
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(b) What is the direction of the neutral atom's dipole moment after the charged particle is brought near?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(b) What is the direction of the neutral atom's dipole moment after the charged particle is brought near?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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15
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(c) What is the direction of the neutral atom's electric field at the location of the charged particle?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I) CC J) DD
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(c) What is the direction of the neutral atom's electric field at the location of the charged particle?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC
J) DD
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16
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(d) What is the direction of the force that the interaction between the particle and atom exerts on the particle?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(d) What is the direction of the force that the interaction between the particle and atom exerts on the particle?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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17
 <strong>  Imagine that we place a positively charged particle a distance  r  from a neutral atom, as shown below. Choose your answers for parts  b  through e from figure E2.12.  -(e) What is the direction of the force that the interaction between the particle and atom exerts on the atom?</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathbf{C C}  J) DD
Imagine that we place a positively charged particle a distance rr from a neutral atom, as shown below. Choose your answers for parts bb through e from figure E2.12.

-(e) What is the direction of the force that the interaction between the particle and atom exerts on the atom?

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathbf{C C}
J) DD
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18
The electric field created by a dipole at an arbitrary point in space around that dipole is always parallel to the dipole's dipole moment vector.
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19
The dipole moment of an electrically polarized atom always points in the same direction as the external field that has polarized it.
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20
Imagine that we place a dipole a distance rr from a neutral atom, as shown below.
 <strong>Imagine that we place a dipole a distance  r  from a neutral atom, as shown below.    -(a) Will the dipole polarize the neutral atom? Choose E if not or specify the direction of the neutral atom's induced dipole moment from figure E2.12 if nonzero.</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD

-(a) Will the dipole polarize the neutral atom? Choose E if not or specify the direction of the neutral atom's induced dipole moment from figure E2.12 if nonzero.

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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21
Imagine that we place a dipole a distance rr from a neutral atom, as shown below.
 <strong>Imagine that we place a dipole a distance  r  from a neutral atom, as shown below.    -(b) Use figure E2.12 to specify the direction of the net force that the neutral atom exerts on the dipole. (Hint: Think of any dipole(s) as independent charged particles.</strong> A) A B) B C) C D) D E) Zero F) Other G) AA H) BB I)  \mathrm{CC}  J) DD

-(b) Use figure E2.12 to specify the direction of the net force that the neutral atom exerts on the dipole. (Hint: Think of any dipole(s) as independent charged particles.

A) A
B) B
C) C
D) D
E) Zero
F) Other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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22
If the electric field at any point inside a conductor is nonzero, the metal is not in static equilibrium.
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23
Imagine a neutral atom near an infinite charged plane. The neutral atom will be polarized by the plane's field.
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24
Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?
 <strong>Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?    -(a) What is the direction at point  P_{1}  just inside the shell?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathrm{CC}  J) DD

-(a) What is the direction at point P1P_{1} just inside the shell?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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25
Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?
 <strong>Imagine a spherical shell with a uniformly distributed negative charge, as shown below. What are the directions of the field vectors created by that shell at the two points shown?    -(b) What is the direction at point  P_{2}  just outside the shell?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathbf{C C}  J) DD

-(b) What is the direction at point P2P_{2} just outside the shell?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathbf{C C}
J) DD
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26
Imagine that we place a spherical shell with a uniformly distributed positive charge QQ and a particle with a negative charge 4Q-4 Q as shown below. What are the directions of the total electric field vectors at the two points shown?
 <strong>Imagine that we place a spherical shell with a uniformly distributed positive charge  Q  and a particle with a negative charge  -4 Q  as shown below. What are the directions of the total electric field vectors at the two points shown?    -(a) What is the direction at point  P_{1}  at the shell's center?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathbf{C C}  J) DD

-(a) What is the direction at point P1P_{1} at the shell's center?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathbf{C C}
J) DD
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27
Imagine that we place a spherical shell with a uniformly distributed positive charge QQ and a particle with a negative charge 4Q-4 Q as shown below. What are the directions of the total electric field vectors at the two points shown?
 <strong>Imagine that we place a spherical shell with a uniformly distributed positive charge  Q  and a particle with a negative charge  -4 Q  as shown below. What are the directions of the total electric field vectors at the two points shown?    -(b) What is the direction at point  \mathrm{P}_{2}  ?</strong> A) A B) B C) C D) D E) zero F) other G) AA H) BB I)  \mathrm{CC}  J) DD

-(b) What is the direction at point P2\mathrm{P}_{2} ?

A) A
B) B
C) C
D) D
E) zero
F) other
G) AA
H) BB
I) CC\mathrm{CC}
J) DD
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28
Consider two concentric spherical shells, one with radius RR and one with radius 2R2 R . Both have the same uniformly distributed charge QQ . Let E0Q/(4πε0R2)E_{0} \equiv Q /\left(4 \pi \varepsilon_{0} R^{2}\right) . Which of the values below is closest to the magnitude of the electric field vector created by these shells at a point PP just barely inside the outer shell?

A) zero
B) 14E0\frac{1}{4} E_{0}
C) 12E0\frac{1}{2} E_{0}
D) E0E_{0}
E) 2E02 E_{0}
F) 4E04 E_{0}
G) Other
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29
Consider a solid sphere with radius RR with a charge uniformly spread throughout its volume. The magnitude of the sphere's electric field is E1\left|\vec{E}_{1}\right| at a point P1P_{1} on the sphere's surface and is E2\left|\vec{E}_{2}\right| at a point P2P_{2} at a distance 12R\frac{1}{2} R from the sphere's center. In the relationship E1=bE2\left|\vec{E}_{1}\right|=b\left|\vec{E}_{2}\right| , what is the value of bb ?

A) 0
B) 1
C) 2
D) 4
E) 8
F) Other
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30
The finite wire shown below has a uniformly distributed negative charge. Which of the arrows below is closest to the direction of the field vector that the wire produces at point PP ? (Point to a letter on the back cover with two fingers to specify a double-letter answer.)
 <strong>The finite wire shown below has a uniformly distributed negative charge. Which of the arrows below is closest to the direction of the field vector that the wire produces at point  P  ? (Point to a letter on the back cover with two fingers to specify a double-letter answer.)  </strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
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31
The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(a) At point  P 1  a small distance above the disk's center?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(a) At point  P 1  a small distance above the disk's center?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD

-(a) At point P1P 1 a small distance above the disk's center?

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
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32
The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(b) At point  P 2  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(b) At point  P 2  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD

-(b) At point P2P 2 ?

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
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33
The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(c) At point  P 3  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD
 <strong>The finite disk shown below has a uniformly distributed positive charge. Which of the arrows in figure E2.12 best indicates the direction of the electric field vector that the plate produces at the points specified?      -(c) At point  P 3  ?</strong> A) A B) B C) C D) D E) AA F) BB G) CC H) DD

-(c) At point P3P 3 ?

A) A
B) B
C) C
D) D
E) AA
F) BB
G) CC
H) DD
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34
The units of the electric field E\vec{E} are N/C. We can alternatively say the field has units of V/mV / m .
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35
A single particle can have potential energy.
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36
Even if we define the potential to be zero at infinity, the potential created by a charge distribution can be negative at another point.
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37
Consider a point PP midway between two identical charged particles. The potential ϕ\phi at point PP is zero.
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38
Consider a point PP midway between two particles, one with charge q-q and one with charge qq . The electric field vector E\vec{E} at point PP is zero.
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39
Consider a point PP midway between two identical charged particles. The electric field vector E\vec{E} at point PP is zero
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40
Consider a point PP midway between two identical charged particles. The electric field vector E\vec{E} at point PP is zero
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41
In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude q|q| but whose signs may be different.
 <strong>In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude  |q|  but whose signs may be different.   The potential at point  P  has the same value  \phi=2|q| / 4 \pi \varepsilon_{0} d  in both cases (the reference position is infinity). In which case is the electric field magnitude  |\vec{E}|  larger at point  P  ?</strong> A) Case  A  B) Case  B  C)  |\vec{E}|  as the same nonzero value in both cases. D)  |\vec{E}|  is zero in both cases. E) The answer depends on information not specified.
The potential at point PP has the same value ϕ=2q/4πε0d\phi=2|q| / 4 \pi \varepsilon_{0} d in both cases (the reference position is infinity). In which case is the electric field magnitude E|\vec{E}| larger at point PP ?

A) Case AA
B) Case BB
C) E|\vec{E}| as the same nonzero value in both cases.
D) E|\vec{E}| is zero in both cases.
E) The answer depends on information not specified.
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42
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(a) At which labeled point is the potential largest?</strong> A) A B) B C) C D) D E) E  F . None of the labeled points

-(a) At which labeled point is the potential largest?

A) A
B) B
C) C
D) D
E) E
FF . None of the labeled points
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43
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(b) At which is the potential smallest?</strong> A) A B) B C) C D) D E) E F) None of the labeled points

-(b) At which is the potential smallest?

A) A
B) B
C) C
D) D
E) E
F) None of the labeled points
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44
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(c) At which is the potential zero?</strong> A) A B) B C) C D) D E) E F) None of the labeled points

-(c) At which is the potential zero?

A) A
B) B
C) C
D) D
E) E
F) None of the labeled points
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45
Two particles whose charges have equal magnitudes qq but opposite signs are placed as shown. The reference point for zero potential is infinity.
 <strong>Two particles whose charges have equal magnitudes  q  but opposite signs are placed as shown. The reference point for zero potential is infinity.    -(d) At which is the potential between zero and  \phi D  ?</strong> A) A B) B C) C D) D E) E F) None of the labeled points

-(d) At which is the potential between zero and ϕD\phi D ?

A) A
B) B
C) C
D) D
E) E
F) None of the labeled points
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46
Consider a region of space where the electric field is uniform with magnitude E|\vec{E}| , as shown below.
 Consider a region of space where the electric field is uniform with magnitude  |\vec{E}| , as shown below.   What is the value of the specified potential difference in each case? (a)  \phi_{B}-\phi_{A}  ? (b)  \phi_{C}-\phi_{B}  ? (c)  \phi_{A}-\phi_{C}  ? Select your responses from the following choices: A.  +|\vec{E}| h  B.  -|\vec{E}| h  C.  +|\vec{E}| w  D.  -|\vec{E}| w  E.  +|\vec{E}| \sqrt{h^{2}+w^{2}}  F.  -|\vec{E}| \sqrt{h^{2}+w^{2}}  T. zero
What is the value of the specified potential difference in each case?
(a) ϕBϕA\phi_{B}-\phi_{A} ?
(b) ϕCϕB\phi_{C}-\phi_{B} ?
(c) ϕAϕC\phi_{A}-\phi_{C} ?
Select your responses from the following choices:
A. +Eh+|\vec{E}| h
B. Eh-|\vec{E}| h
C. +Ew+|\vec{E}| w
D. Ew-|\vec{E}| w
E. +Eh2+w2+|\vec{E}| \sqrt{h^{2}+w^{2}}
F. Eh2+w2-|\vec{E}| \sqrt{h^{2}+w^{2}}
T. zero
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47
Consider the electric field shown below:
Consider the electric field shown below:   This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).
This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).
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48
Consider the electric field shown below:
Consider the electric field shown below:   (This hypothetical field is uniform to the left of the boundary shown and zero to the right of that boundary.) This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).
(This hypothetical field is uniform to the left of the boundary shown and zero to the right of that boundary.) This is a physically possible static electric field (that is, we can calculate a well-defined potential difference between any two points in this field).
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49
If ϕ=azx2/y\phi=a z x^{2} / y (where aa is a constant) then ϕ/x\partial \phi / \partial x is:

A) 2x2 x
B) 2axa/y2+a2 a x-a / y^{2}+a
C) 2azx/yazx2/y2+ax2/y2 a z x / y-a z x^{2} / y^{2}+a x^{2} / y
D) 2azxly
E) azx3/3ya z x^{3} / 3 y
F) something else (specify)
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50
Consider the equipotential diagram shown below and to the left:
 <strong>Consider the equipotential diagram shown below and to the left:   In what direction does the electric field at point  P  point?</strong> A) A B) B C) C D) D
In what direction does the electric field at point PP point?

A) A
B) B
C) C
D) D
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51
Consider the equipotential diagram shown in problem E3T.12. In the expression EP=bEQ\left|\vec{E}_{P}\right|=b\left|\vec{E}_{Q}\right| , what is the approximate value of bb ?
 <strong>Consider the equipotential diagram shown in problem E3T.12. In the expression  \left|\vec{E}_{P}\right|=b\left|\vec{E}_{Q}\right| , what is the approximate value of  b  ?  </strong> A) 8 B) 2 C) 0 D)  \mathbf{1 / 2}  E)  1 / 8  F) Some other value (specify)

A) 8
B) 2
C) 0
D) 1/2\mathbf{1 / 2}
E) 1/81 / 8
F) Some other value (specify)
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52
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(a) In which case is the value of ExE_{x} largest at x=2 cmx=2 \mathrm{~cm} ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(a) In which case is the value of  E_{x}  largest at  x=2 \mathrm{~cm}  ?
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53
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(b) In which case is the value of ExE_{x} smallest at x=2 cmx=2 \mathrm{~cm} ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(b) In which case is the value of  E_{x}  smallest at  x=2 \mathrm{~cm}  ?
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54
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(c) In which case is the value of ExE_{x} the same at x=2 cmx=2 \mathrm{~cm} as it is in case AA ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(c) In which case is the value of  E_{x}  the same at  x=2 \mathrm{~cm}  as it is in case  A  ?
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55
Consider the set of graphs shown in the column to the right. These graphs show plots of ϕ(x,y,z)\phi(x, y, z) versus xx for fixed yy and zz in various electric fields. In comparisons, treat negative values as being smaller than positive values.
-(d) In which case is the Ex=0E_{x}=0 at x=2 cmx=2 \mathrm{~cm} ?
 Consider the set of graphs shown in the column to the right. These graphs show plots of  \phi(x, y, z)  versus  x  for fixed  y  and  z  in various electric fields. In comparisons, treat negative values as being smaller than positive values. -(d) In which case is the  E_{x}=0  at  x=2 \mathrm{~cm}  ?
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56
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(a) Which arrow best indicates the direction of the electric field at point  P  created by particle  B  ?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD

-(a) Which arrow best indicates the direction of the electric field at point PP created by particle BB ?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
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57
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(b) Which arrow best indicates the direction of the electric field at point  P  created by particle  C  ?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD

-(b) Which arrow best indicates the direction of the electric field at point PP created by particle CC ?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
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58
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(c) Which arrow best indicates the direction of the electric field at point  P  created by the charge distribution on the sphere's surface?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD

-(c) Which arrow best indicates the direction of the electric field at point PP created by the charge distribution on the sphere's surface?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
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59
Consider the situation shown below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with charges qq and q-q , respectively. Point PP is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E\mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation shown below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with charges  q  and  -q , respectively. Point  P  is at the sphere's center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer  \mathrm{E} . (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)    -(d) Which arrow best indicates the position (relative to  P  ) of the greatest concentration of positive charge on the sphere's surface?</strong> A) A B) B C) C D) D E) Zero F) AA G) BB H) CC I) DD

-(d) Which arrow best indicates the position (relative to PP ) of the greatest concentration of positive charge on the sphere's surface?

A) A
B) B
C) C
D) D
E) Zero
F) AA
G) BB
H) CC
I) DD
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60
Consider the situation below. Object AA is a metal sphere with zero net charge, and objects BB and CC are particles with the same negative charge. Which choice shown to the right best indicates the direction of the electric field at point PP ? (If you are using the letters on the back cover to indicate your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)
 <strong>Consider the situation below. Object  A  is a metal sphere with zero net charge, and objects  B  and  C  are particles with the same negative charge. Which choice shown to the right best indicates the direction of the electric field at point  P  ? (If you are using the letters on the back cover to indicate your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.)  </strong> A) A B) B C) C D) D E: Zero E) Zero F) AA G) BB H) CC I) DD

A) A
B) B
C) C
D) D
E: Zero
E) Zero
F) AA
G) BB
H) CC
I) DD
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61
Momentum is not conserved in an inelastic collision.
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62
Imagine a neutral atom near an infinite charged plane. Will the atom be attracted to the plate (A), repelled by it (B) or experience no force from it (C)?
(A) A
(B) B
(C) C\mathrm{C}
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63
A closed metal can (in static equilibrium) will perfectly shield a point in its interior from the static field of any external charged particle(s).
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64
Every fundamental charged particle has an antiparticle such that when the particle and antiparticle collide, they
annihilate each other to create two (uncharged) photons. What does conservation of charge imply about how a
particle's charge compares to that of its antiparticle? The particle's and antiparticle's charges
A. must be identical in sign and magnitude.
B. must have opposite signs and the same magnitude.
C. must have opposite signs, maybe different magnitudes.
D. must each be zero.
E. are not constrained at all by charge conservation.
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65
Because of electrostatic polarization, a sufficiently charged rubber balloon will attract a neutral horizontal insulating plate strongly enough so that the balloon sticks firmly to the plate's bottom. If the horizontal plate is a conductor instead of an insulator, the charged balloon will

A) stick only if the plate is connected to the earth.
B) stick only if the plate is insulated from the earth.
C) stick in either case.
D) not stick at all.
E) repel the plate.
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66
Imagine that we have two identical metal spheres on insulating stands that we give the same negative charge. If we slowly bring the spheres closer and closer together, the charge per unit area σ\boldsymbol{\sigma} on each sphere will at the point nearest the other sphere

A) become increasingly negative.
B) become less negative.
C) remain constant.
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67
Two metal spheres on insulating stands have the same positive charge QQ . If we reduce the distance between the spheres' centers by a factor of two, the magnitude of the repulsive force between the spheres increases by

A) a bit less than a factor of two.
B) exactly a factor of two.
C) a bit more than a factor of two.
D) a bit less than a factor of four.
E) exactly a factor of four.
F) a bit more than a factor of four.
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68
Suppose we suspend a negatively charged ball like a pendulum inside a hollow but completely enclosing metal box. Assume that the ball hangs a few inches from the box's left vertical face. Imagine that we now bring a very strong positively charged object to a point just to the left of the box's left face, so that it is only a few inches away from the suspended ball (though the box's left face is between them). The ball will be deflected

A) strongly toward the external object.
B) strongly away from the external object.
C) weakly toward the external object.
D) weakly away from the external object.
E) not the least little bit.
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69
Suppose the two plates of a parallel-plate capacitor have fixed charges QQ and Q-Q . If we double the gap between the plates, the:

-(a) potential difference between the plates,

A) quadruples.
B) doubles.
C) remains the same.
D) is reduced by a factor of two.
E) is reduced by a factor of four.
F) some other result (specify).
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70
Suppose the two plates of a parallel-plate capacitor have fixed charges QQ and Q-Q . If we double the gap between the plates, the:

-(b) the capacitor's capacitance,

A) quadruples.
B) doubles.
C) remains the same.
D) is reduced by a factor of two.
E) is reduced by a factor of four.
F) some other result (specify).
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71
Suppose the two plates of a parallel-plate capacitor have fixed charges QQ and Q-Q . If we double the gap between the plates, the:

-(c) the energy stored in the capacitor

A) quadruples.
B) doubles.
C) remains the same.
D) is reduced by a factor of two.
E) is reduced by a factor of four.
F) some other result (specify).
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72
Assume that the Drude model accurately describes a certain metal. If we increase the metal's temperature, its conductivity

A) should increase.
B) should decrease.
C) should remain the same.
D) changes in a way that depends on the specific metal.
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73
If each copper atom in a wire were to contribute two conduction electrons instead of just one, its conductivity would

A) increase by a factor of 4 .
B) increase by a factor of 2.
C) remain the same.
D) decrease by a factor of 2 .
E) decrease by a factor of 4 .
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74
Two wires have a nearly equal electron number density. Assume that the electric field in each wire points directly along the wire, that electric fields in the two wires have the same magnitude, but that the conductivity in wire AA is twice that in wire BB . This means that the drift velocity in wire AA is bb times that in wire BB , where bb is

A) 4 .
B) 2.
C) 1 .
D) 1/21 / 2 .
E) 1/41 / 4 .
F) Impossible to determine from the given information.
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75
Why do you think air is such a poor conductor com-pared to a metal (at normal field strengths)?

A) Air is much less dense than a metal.
B) Electrons can travel much farther in a metal before col-liding with an atom than they can in air.
C) Air molecules are much bigger than metal atoms.
D) Electrons move much more slowly in air.
E) Air normally has very few free charge carriers.
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76
Imagine that at a certain place in a river, water moves horizontally to the left. Consider an oriented sur-face facing upward. The flux of water velocity v\vec{v} through this surface is

A) positive.
B) negative.
C) zero.
D) Impossible to determine from the given information.
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77
Imagine that at a certain place in a river, water moves horizontally to the left. Consider an oriented sur-face that faces in a direction that is 3030^{\circ} upward of right. The flux of water velocity v\vec{v} through this surface is

A) positive.
B) negative.
C) zero.
D) Impossible to determine from the given information.
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78
Consider two vector fields U\vec{U} and W\vec{W} . At every point in space, U\vec{U} points vertically upward, while W\vec{W} points radially away from some central point. But U=W=|\vec{U}|=|\vec{W}|= a fixed constant everywhere. Assume that we calculate the flux of U\vec{U} and W\vec{W} through hemispherical surfaces having the same size and orientation, as shown below. Assume that the tile vectors on each surface point outward. Also assume that in the right-hand case, the central point from which the field W\vec{W} radiates is at the center of the flat plane at the bottom of the hemisphere. Do not assume that these fields necessarily represent particle flows.
 Consider two vector fields  \vec{U}  and  \vec{W} . At every point in space,  \vec{U}  points vertically upward, while  \vec{W}  points radially away from some central point. But  |\vec{U}|=|\vec{W}|=  a fixed constant everywhere. Assume that we calculate the flux of  \vec{U}  and  \vec{W}  through hemispherical surfaces having the same size and orientation, as shown below. Assume that the tile vectors on each surface point outward. Also assume that in the right-hand case, the central point from which the field  \vec{W}  radiates is at the center of the flat plane at the bottom of the hemisphere. Do not assume that these fields necessarily represent particle flows.   How do the fluxes of these fields through the two identical hemispherical surfaces compare? A. Field  \vec{U}  has the larger flux. B. Field  \vec{W}  has the larger flux. C. Both fields have the same flux. D. The result depends on the surface's radius. E. We need more information to compare the fluxes.
How do the fluxes of these fields through the two identical hemispherical surfaces compare?
A. Field U\vec{U} has the larger flux.
B. Field W\vec{W} has the larger flux.
C. Both fields have the same flux.
D. The result depends on the surface's radius.
E. We need more information to compare the fluxes.
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79
Consider the segment of cylindrical metal wire shown below. Note that the drift speed of electrons is increasing in the wire as we move to the right.
 <strong>Consider the segment of cylindrical metal wire shown below. Note that the drift speed of electrons is increasing in the wire as we move to the right.   Assume that charge cannot move off the wire. The total charge between the two cross-sectional areas  A  and  B  is</strong> A) Increasing. B) Decreasing. C) Remaining the same.
Assume that charge cannot move off the wire. The total charge between the two cross-sectional areas AA and BB is

A) Increasing.
B) Decreasing.
C) Remaining the same.
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80
Consider the segment of cylindrical metal wire shown below. Assume that the drift speed of electrons is everywhere the same in the segment.
 <strong>Consider the segment of cylindrical metal wire shown below. Assume that the drift speed of electrons is everywhere the same in the segment.   Note that area  B  is tilted so that its nose vector makes an angle of  \theta<90^{\circ}  with the drift velocity direction but still spans the wire's entire cross section. How do the current density fluxes through areas  A  and  B  compare?</strong> A) The flux through  A  is greater than the flux through  B . B) The flux through  B  is greater than the flux through  A . C) The fluxes through  A  and  B  are the same.
Note that area BB is tilted so that its nose vector makes an angle of θ<90\theta<90^{\circ} with the drift velocity direction but still spans the wire's entire cross section. How do the current density fluxes through areas AA and BB compare?

A) The flux through AA is greater than the flux through BB .
B) The flux through BB is greater than the flux through AA .
C) The fluxes through AA and BB are the same.
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81
Suppose that at a given point in a given piece of metal, the drift velocities of electrons are oriented leftward. The direction of the conventional current in this metal

A) is leftward.
B) is rightward.
C) is zero.
D) depends on the type of metal.
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Unlock Deck
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