Question 1

If the result of your calculations for a quantity has SI units of C² ∙ s²/(kg ∙ m²), that quantity could be

Accepted Answer

D

Question 2

Four charged particles (two having a charge +Q and two having a charge -Q)are arranged in the xy-plane, as shown in the figure. These particles are all equidistant from the origin. The electric potential (relative to infinity)at point P on the z-axis due to these particles, is

Accepted Answer

A

Question 3

A proton is accelerated from rest through a potential difference V₀ and gains a speed v₀. If it were accelerated instead through a potential difference of 2V₀, what speed would it gain?

Accepted Answer

The kinetic energy gained by the proton is equal to the work done by the electric field, which is qV. Since kinetic energy is also (1/2)mv^2, doubling the potential difference doubles the kinetic energy, resulting in a speed increase by a factor of √2.

Question 4

A region of space contains a uniform electric field, directed toward the right, as shown in the figure. Which statement about this situation is correct?

Accepted Answer

The answer of A region of space contains a uniform...

Question 5

A proton and an electron are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move toward each other? (There could be more than one correct choice.)

Accepted Answer

The answer of A proton and an electron are released...

Question 6

Two protons are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move apart? (There could be more than one correct choice.)

Accepted Answer

The answer of Two protons are released from rest, with...

Question 7

As a proton moves in the direction the electric field lines

Accepted Answer

Electric potential is defined as the electric potential energy per unit charge. As the proton moves from high potential to low potential, it is losing electric potential energy. Therefore, option D is the correct choice.

Question 8

As an electron moves in the direction the electric field lines

Accepted Answer

The answer of As an electron moves in the direction...

Question 9

Four charged particles (two having a charge +Q and two having a charge -Q)are arranged in the xy-plane as shown in the figure. The charges are all equidistant from the origin. The amount of work required to move a positively charged particle from point P to point O (both of which are on the z-axis)is

Accepted Answer

The answer of Four charged particles (two having a charge...

Question 10

As a proton moves in a direction perpendicular to the electric field lines

Accepted Answer

When a proton moves perpendicular to the electric field lines, it is not moving along the potential gradient (from high to low potential or vice versa). Therefore, both its electric potential and electric potential energy remain constant, as it is not moving closer or farther from the source of the electric field in a way that would change its potential energy.

Question 11

Which statements must be true about the surface of a charged conductor in which no charge is moving? (There could be more than one correct choice.)

Accepted Answer

The answer of Which statements must be true about the...

Question 12

The electron-volt is a unit of

Accepted Answer

The electron-volt (eV) is a unit of energy. It is defined as the amount of energy gained (or lost) by a single electron when it moves across an electric potential difference of one volt. It is commonly used in atomic and particle physics to describe the energies of particles and radiation.

Question 13

The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity. What is the potential (relative to infinity)at a distance of 2 m from the same charge?

Accepted Answer

The electric potential $V$ due to a point charge at a distance $r$ is given by $V = k\frac{Q}{r}$, where $k$ is Coulomb's constant and $Q$ is the charge. If the potential at 4 m is 200 V, then at 2 m (half the distance), the potential would be doubled (since $V$ is inversely proportional to $r$), making it 400 V.

Question 14

An ideal parallel-plate capacitor has a capacitance of C. If the area of the plates is doubled and the distance between the plates is halved, what is the new capacitance?

Accepted Answer

The capacitance of a parallel-plate capacitor is given by $C = \epsilon_0 \frac{A}{d}$, where $A$ is the area of the plates and $d$ is the distance between them. Doubling the area and halving the distance results in a new capacitance of $C' = \epsilon_0 \frac{2A}{d/2} = 4\epsilon_0 \frac{A}{d} = 4C$.

Question 15

A hydrogen atom consists of a proton and an electron. If the orbital radius of the electron increases, the electric potential energy of the electron due to the proton

Accepted Answer

The electric potential energy of an electron in the field of a proton is given by $U = -\frac{k e^2}{r}$, where $k$ is Coulomb's constant, $e$ is the charge of the electron (or proton, since they are equal in magnitude), and $r$ is the distance between the electron and the proton. As the orbital radius $r$ increases, the magnitude of $U$ decreases (since $U$ is negative, this means $U$ becomes less negative), which corresponds to an increase in the electric potential energy.

Question 16

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other. If the smaller capacitor has capacitance C, the larger one has capacitance

Accepted Answer

The capacitance of a parallel-plate capacitor is directly proportional to the plate area, so if one capacitor has twice the plate area of another, it will have twice the capacitance. Therefore, the larger capacitor has a capacitance of 2C (twice that of the smaller capacitor which is C).

Question 17

If the electric field between the plates of a given air-filled capacitor is weakened by removing charge from the plates, the capacitance of that capacitor

Accepted Answer

The capacitance of a capacitor is determined by its physical characteristics (plate area, distance between the plates, and the dielectric material between the plates) and not by the amount of charge on the plates or the electric field strength.

Question 18

Two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting. Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice.)

Accepted Answer

The answer of Two protons are fired toward each other...

Question 19

If the electric potential at a point in space is zero, then the electric field at that point must be

Accepted Answer

The electric potential being zero at a point does not necessarily determine the electric field's magnitude or direction at that point. The electric field could be non-zero even if the potential is zero, depending on the configuration of charges around the point.

Question 20

The potential (relative to infinity)at the midpoint of a square is 3.0 V when a point charge of +Q is located at one of the corners of the square. What is the potential (relative to infinity)at the center when each of the other corners is also contains a point charge of +Q?

Accepted Answer

The potential at the midpoint of the square due to one charge at one corner is 3.0 V. Now, we have four charges of +Q at each corner of the square, which will contribute a potential of 3.0 V each at the midpoint of the square. Therefore, the total potential at the midpoint due to four charges of +Q is 3.0 V + 3.0 V + 3.0 V + 3.0 V = 12 V. Thus, the correct answer is D.

Quiz 21: Electric Potential

If the result of your calculations for a quantity has SI units of C² ∙ s²/(kg ∙ m²) , that quantity could be

Four charged particles (two having a charge +Q and two having a charge -Q) are arranged in the xy-plane, as shown in the figure. These particles are all equidistant from the origin. The electric potential (relative to infinity) at point P on the z-axis due to these particles, is

A proton is accelerated from rest through a potential difference V₀ and gains a speed v₀. If it were accelerated instead through a potential difference of 2V₀, what speed would it gain?

A region of space contains a uniform electric field, directed toward the right, as shown in the figure. Which statement about this situation is correct?

A proton and an electron are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move toward each other? (There could be more than one correct choice.)

Two protons are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move apart? (There could be more than one correct choice.)

As a proton moves in the direction the electric field lines

As an electron moves in the direction the electric field lines

As a proton moves in a direction perpendicular to the electric field lines

Which statements must be true about the surface of a charged conductor in which no charge is moving? (There could be more than one correct choice.)

The electron-volt is a unit of

The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity. What is the potential (relative to infinity) at a distance of 2 m from the same charge?

An ideal parallel-plate capacitor has a capacitance of C. If the area of the plates is doubled and the distance between the plates is halved, what is the new capacitance?

A hydrogen atom consists of a proton and an electron. If the orbital radius of the electron increases, the electric potential energy of the electron due to the proton

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other. If the smaller capacitor has capacitance C, the larger one has capacitance

If the electric field between the plates of a given air-filled capacitor is weakened by removing charge from the plates, the capacitance of that capacitor

Two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting. Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice.)

If the electric potential at a point in space is zero, then the electric field at that point must be

The potential (relative to infinity) at the midpoint of a square is 3.0 V when a point charge of +Q is located at one of the corners of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +Q?

Quiz 21: Electric Potential

If the result of your calculations for a quantity has SI units of C2 ∙ s2/(kg ∙ m2) , that quantity could be

Four charged particles (two having a charge +Q and two having a charge -Q) are arranged in the xy-plane, as shown in the figure. These particles are all equidistant from the origin. The electric potential (relative to infinity) at point P on the z-axis due to these particles, is

A proton is accelerated from rest through a potential difference V0 and gains a speed v0. If it were accelerated instead through a potential difference of 2V0, what speed would it gain?

A region of space contains a uniform electric field, directed toward the right, as shown in the figure. Which statement about this situation is correct?

A proton and an electron are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move toward each other? (There could be more than one correct choice.)

Two protons are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move apart? (There could be more than one correct choice.)

As a proton moves in the direction the electric field lines

As an electron moves in the direction the electric field lines

As a proton moves in a direction perpendicular to the electric field lines

Which statements must be true about the surface of a charged conductor in which no charge is moving? (There could be more than one correct choice.)

The electron-volt is a unit of

The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity. What is the potential (relative to infinity) at a distance of 2 m from the same charge?

An ideal parallel-plate capacitor has a capacitance of C. If the area of the plates is doubled and the distance between the plates is halved, what is the new capacitance?

A hydrogen atom consists of a proton and an electron. If the orbital radius of the electron increases, the electric potential energy of the electron due to the proton

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other. If the smaller capacitor has capacitance C, the larger one has capacitance

If the electric field between the plates of a given air-filled capacitor is weakened by removing charge from the plates, the capacitance of that capacitor

Two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting. Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice.)

If the electric potential at a point in space is zero, then the electric field at that point must be

The potential (relative to infinity) at the midpoint of a square is 3.0 V when a point charge of +Q is located at one of the corners of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +Q?

If the result of your calculations for a quantity has SI units of C² ∙ s²/(kg ∙ m²) , that quantity could be

A proton is accelerated from rest through a potential difference V₀ and gains a speed v₀. If it were accelerated instead through a potential difference of 2V₀, what speed would it gain?