Question 1

A point charge is placed on the x-axis at the origin.The electric field produce at x = 40.0 cm is 157 N/C? What is the point charge?

Accepted Answer

C

Question 2

A + 5.00-nC point charge is placed on the x axis at x = 1.00 m,and a - 6.00-nC point charge is placed on the y axis at y = -2.00 m.What is the direction of the electric field at the origin?

Accepted Answer

E

Question 3

Two ions are placed on the x-axis.One has a charge of + e and is located at the origin.The other has a charge of -4e and is located at x = + d,where d > 0.Where on the x-axis is the net electric field equal to zero?

Accepted Answer

B

Question 4

An electric dipole has opposite charges of 2.0 * 10^-15 C which are separated by a distance of 0.40 mm.It is oriented at 40S1U1P1$\circ$S1S1P0with respect to a uniform electric field of 1.0 * 10³ N/C.Determine the magnitude of the torque exerted on the dipole by the electric field.

Accepted Answer

The answer of An electric dipole has opposite charges of...

Question 5

At a distance d from a charge,the magnitude of the electric field is

Accepted Answer

The electric field due to a point charge is inversely proportional to the square of the distance from the charge. Therefore, if the distance is halved (d/2), the electric field becomes four times stronger (4E).

Question 6

Two point charges are placed on two of the corners of a triangle as shown.Find the magnitude of the electric field at the third corner of the triangle.

Accepted Answer

To find the electric field at the third corner of the triangle, we need to calculate the electric field due to each of the point charges and then vectorially add them.

Using Coulomb's law, the electric field due to Q1 at the third corner P is given by:
E1 = kQ1/ r1^2
where k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), Q1 is the charge on Q1, and r1 is the distance between Q1 and P.

Similarly, the electric field due to Q2 at P is given by:
E2 = kQ2/ r2^2
where Q2 is the charge on Q2, and r2 is the distance between Q2 and P.

Now, we need to add the two electric fields vectorially to get the net electric field at P. Since the two electric fields are in different directions, we need to use vector addition.

Let's assume that the magnitude of the charges on Q1 and Q2 are the same, i.e., Q1 = Q2 = Q. Also, let's assume that the distance between each charge and the third corner is the same, i.e., r1 = r2 = r.

Now, we can write the two electric fields as vectors:
E1 = kQ/r^2 * (-i)
E2 = kQ/r^2 * j

where i and j are unit vectors along the x-axis and y-axis, respectively.

The net electric field at P is then given by:
E = E1 + E2

Using vector addition, we get:
E = kQ/r^2 * (-i + j)

The magnitude of this vector is given by:
|E| = sqrt[(kQ/r^2)^2 + (kQ/r^2)^2]
|E| = kQ/r^2 * sqrt(2)

Substituting the given values, we get:
|E| = (9 x 10^9 Nm^2/C^2 * 2 x 10^-6 C) / (0.04 m)^2 * sqrt(2)
|E| = 5.4 x 10^4 N/C

Therefore, the answer is choice C, 5.4 x 10^4 N/C.

Question 7

A point charge q = 4.00 * 10^-9 C is placed on the x-axis at the origin.What is the electric field produce at x = 40.0 cm?

Accepted Answer

The electric field E due to a point charge is given by E = k * |q| / r^2, where k = 8.99 * 10^9 N m^2/C^2, q = 4.00 * 10^-9 C, and r = 0.40 m. Plugging in these values gives E = 225 N/C.

Question 8

A point charge of 7.8 $\mu$C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the half-sphere is 5.3 * 10⁵ Nm²/C,what is the flux through the flat disk section?

Accepted Answer

The answer of A point charge of 7.8 $\mu$C is...

Question 9

A + 3.5-nC point charge is placed at one corner of a square (2.0 m on a side),and a -5.7-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

Accepted Answer

The answer of A + 3.5-nC point charge is placed...

Question 10

Two electrons are located at two of the vertices of an equilateral triangle,one at each vertex.The length of one side of the triangle is 1.00 nm.What is the magnitude of the net electric field at the third vertex?

Accepted Answer

The net electric field at the third vertex can be found by vector addition of the electric fields due to each of the electrons individually. The electric field due to one electron at a distance of 1.00 nm is given by:
E = kq/r^2 = (9 x 10^9 N*m^2/C^2)(1.6 x 10^-19 C)/(1.00 x 10^-9 m)^2 = 2.304 N/C
Using the law of cosines, the magnitude of the net electric field at the third vertex can be found:
E^2 = (2.304 N/C)^2 + (2.304 N/C)^2 - 2(2.304 N/C)(2.304 N/C)cos(60°)
E = 2.49 x 10^10 N/C, which is closest to choice C.

Question 11

Electric field lines always point from

Accepted Answer

Electric field lines always point from positive charges to negative charges.

Question 12

Two infinite non-conducting plates are parallel to each other,with an interplate distance of d = 10.0 cm.Each plate carries a uniform two-dimensional charge density of 7.4 $\mu$C/m².What is the magnitude of the electric field at a point located a quarter of the way between the plates?

Accepted Answer

The answer of Two infinite non-conducting plates are parallel to...

Question 13

A point charge of 7.8 $\mu$C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the flat disk is 3.5* 10⁵ Nm²/C,what is the flux through the half-sphere section?

Accepted Answer

The answer of A point charge of 7.8 $\mu$C is...

Question 14

Two infinite,uniformly charged,flat surfaces are mutually perpendicular.One of the sheets has a charge density of + 20.0 pC/m²,and the other carries a charge density of -50.0 pC/m².What is the magnitude of the electric field at any point not on either surface?

Accepted Answer

The electric field due to an infinite sheet with charge density σ is given by E = σ / (2ε₀). The net electric field is the vector sum of the fields from both sheets. Calculate each field and use vector addition to find the resultant magnitude.

Question 15

A solid sphere of diameter 20 cm has a non-uniform charge density where A = 0.600 * 10^-14 C/m⁵.Determine the total charge,Q,within the volume of the sphere.

Accepted Answer

The answer of A solid sphere of diameter 20 cm...

Question 16

In the opposite corners of a square there are two identical ions.Each has a charge of -e.The length of one side of he square is L.What is the magnitude of the net electric field caused by the two negative ions at both of the empty corners of the square?

Accepted Answer

The electric field due to a single ion of charge -e at a distance r from it is given by: E = ke(-e)/r^2 From symmetry, we can see that the electric field components along the diagonal of the square will cancel out, and the field components along the sides of the square will add up. Therefore, the magnitude of the net electric field at both of the empty corners of the square is given by: E = 2E1 = 2ke(-e)/L^2 E = ke/((L^2)/2) E = ke/(LSqrt(2)) E = 11ea821f_c689_fc08_bbd8_5b75584f8383_TB1516_11_TB1516_11_TB1516_11 / (L²) Therefore, the answer is C.

Question 17

A point charge + Q is located on the x-axis at x = a,and a second point charge -Q is located on the x axis at x = -a.A cubic Gaussian surface with sides l = 3a is centered at the origin.The flux through this Gaussian surface is

Accepted Answer

Since the Gaussian surface is symmetric and there are no charges enclosed within the surface, the electric field at every point on the surface is perpendicular to the surface. Therefore, the flux through each face of the surface is zero, and the total flux through the surface is also zero.

Question 18

An electric dipole has opposite charges of 5.0 * 10^-15 C which are separated by a distance of 0.50 mm.It is oriented in a uniform electric field of 1.0 * 10³ N/C.If the magnitude of the torque exerted on the dipole by the electric field is 1.05 * 10^-15 Nm,what is its orientation with respect to the electric field?

Accepted Answer

The answer of An electric dipole has opposite charges of...

Question 19

A 4.00 * 10^-9 C point charge is placed at the origin.Where on the x-axis is the electric field produced by the point charge 157 N/C?

Accepted Answer

The electric field of a point charge is given by:$$E = k\frac{q}{r^2}$$where k is Coulomb's constant, q is the charge, and r is the distance from the charge.In this case, we have:$$q = 4.00 * 10^{-9} C$$$$E = 157 N/C$$We want to find the distance r from the charge where the electric field is 157 N/C. Substituting these values into the equation above, we get:$$157 N/C = (9.0 * 10^9 Nm^2/C^2)\frac{4.00 * 10^{-9} C}{r^2}$$Solving for r, we get:$$r = 0.22 m = 22 cm$$Therefore, the electric field produced by the point charge is 157 N/C at a distance of 22 cm from the charge on the x-axis.

Question 20

Two identical point charges Q are placed each diagonally opposite corners of a square (1.0 m on a side).The magnitude of the electric field at either of the two unoccupied corners is 19.1 N/C.The absolute value of the charge Q is

Accepted Answer

The correct answer is A because the electric field at the unoccupied corners is given by:E = k * Q / r^2where k is Coulomb's constant, Q is the charge, and r is the distance between the charge and the unoccupied corner.In this case, r = 1.0 m and E = 19.1 N/C.So, Q = E * r^2 / k = 19.1 N/C * (1.0 m)^2 / (9.0 * 10^9 N m^2/C^2) = 1.5 nC.

Quiz 22: Electric Fields and Gausss Law

A point charge is placed on the x-axis at the origin.The electric field produce at x = 40.0 cm is 157 N/C? What is the point charge?

A + 5.00-nC point charge is placed on the x axis at x = 1.00 m,and a - 6.00-nC point charge is placed on the y axis at y = -2.00 m.What is the direction of the electric field at the origin?

Two ions are placed on the x-axis.One has a charge of + e and is located at the origin.The other has a charge of -4e and is located at x = + d,where d > 0.Where on the x-axis is the net electric field equal to zero?

An electric dipole has opposite charges of 2.0 * 10^-15 C which are separated by a distance of 0.40 mm.It is oriented at 40^$\circ$with respect to a uniform electric field of 1.0 * 10³ N/C.Determine the magnitude of the torque exerted on the dipole by the electric field.

At a distance d from a charge,the magnitude of the electric field is

Two point charges are placed on two of the corners of a triangle as shown.Find the magnitude of the electric field at the third corner of the triangle.

A point charge q = 4.00 * 10^-9 C is placed on the x-axis at the origin.What is the electric field produce at x = 40.0 cm?

A point charge of 7.8 $\mu$ C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the half-sphere is 5.3 * 10⁵ Nm²/C,what is the flux through the flat disk section?

A + 3.5-nC point charge is placed at one corner of a square (2.0 m on a side) ,and a -5.7-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

Two electrons are located at two of the vertices of an equilateral triangle,one at each vertex.The length of one side of the triangle is 1.00 nm.What is the magnitude of the net electric field at the third vertex?

Electric field lines always point from

Two infinite non-conducting plates are parallel to each other,with an interplate distance of d = 10.0 cm.Each plate carries a uniform two-dimensional charge density of 7.4 $\mu$ C/m².What is the magnitude of the electric field at a point located a quarter of the way between the plates?

A point charge of 7.8 $\mu$ C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the flat disk is 3.5* 10⁵ Nm²/C,what is the flux through the half-sphere section?

Two infinite,uniformly charged,flat surfaces are mutually perpendicular.One of the sheets has a charge density of + 20.0 pC/m²,and the other carries a charge density of -50.0 pC/m².What is the magnitude of the electric field at any point not on either surface?

A solid sphere of diameter 20 cm has a non-uniform charge density where A = 0.600 * 10^-14 C/m⁵.Determine the total charge,Q,within the volume of the sphere.

In the opposite corners of a square there are two identical ions.Each has a charge of -e.The length of one side of he square is L.What is the magnitude of the net electric field caused by the two negative ions at both of the empty corners of the square?

A point charge + Q is located on the x-axis at x = a,and a second point charge -Q is located on the x axis at x = -a.A cubic Gaussian surface with sides l = 3a is centered at the origin.The flux through this Gaussian surface is

A 4.00 * 10^-9 C point charge is placed at the origin.Where on the x-axis is the electric field produced by the point charge 157 N/C?

Two identical point charges Q are placed each diagonally opposite corners of a square (1.0 m on a side) .The magnitude of the electric field at either of the two unoccupied corners is 19.1 N/C.The absolute value of the charge Q is

Quiz 22: Electric Fields and Gausss Law

A point charge is placed on the x-axis at the origin.The electric field produce at x = 40.0 cm is 157 N/C? What is the point charge?

A + 5.00-nC point charge is placed on the x axis at x = 1.00 m,and a - 6.00-nC point charge is placed on the y axis at y = -2.00 m.What is the direction of the electric field at the origin?

Two ions are placed on the x-axis.One has a charge of + e and is located at the origin.The other has a charge of -4e and is located at x = + d,where d > 0.Where on the x-axis is the net electric field equal to zero?

An electric dipole has opposite charges of 2.0 * 10-15 C which are separated by a distance of 0.40 mm.It is oriented at 40 ∘\circ∘ with respect to a uniform electric field of 1.0 * 103 N/C.Determine the magnitude of the torque exerted on the dipole by the electric field.

At a distance d from a charge,the magnitude of the electric field is

Two point charges are placed on two of the corners of a triangle as shown.Find the magnitude of the electric field at the third corner of the triangle.

A point charge q = 4.00 * 10-9 C is placed on the x-axis at the origin.What is the electric field produce at x = 40.0 cm?

A point charge of 7.8 μ\muμ C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the half-sphere is 5.3 * 105 Nm2/C,what is the flux through the flat disk section?

A + 3.5-nC point charge is placed at one corner of a square (2.0 m on a side) ,and a -5.7-nC charge is placed on a corner diagonally away from the first charge.What is the magnitude of the electric field at either of the two unoccupied corners?

Two electrons are located at two of the vertices of an equilateral triangle,one at each vertex.The length of one side of the triangle is 1.00 nm.What is the magnitude of the net electric field at the third vertex?

Electric field lines always point from

Two infinite non-conducting plates are parallel to each other,with an interplate distance of d = 10.0 cm.Each plate carries a uniform two-dimensional charge density of 7.4 μ\muμ C/m2.What is the magnitude of the electric field at a point located a quarter of the way between the plates?

A point charge of 7.8 μ\muμ C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the flat disk is 3.5* 105 Nm2/C,what is the flux through the half-sphere section?

Two infinite,uniformly charged,flat surfaces are mutually perpendicular.One of the sheets has a charge density of + 20.0 pC/m2,and the other carries a charge density of -50.0 pC/m2.What is the magnitude of the electric field at any point not on either surface?

A solid sphere of diameter 20 cm has a non-uniform charge density where A = 0.600 * 10-14 C/m5.Determine the total charge,Q,within the volume of the sphere.

In the opposite corners of a square there are two identical ions.Each has a charge of -e.The length of one side of he square is L.What is the magnitude of the net electric field caused by the two negative ions at both of the empty corners of the square?

A point charge + Q is located on the x-axis at x = a,and a second point charge -Q is located on the x axis at x = -a.A cubic Gaussian surface with sides l = 3a is centered at the origin.The flux through this Gaussian surface is

A 4.00 * 10-9 C point charge is placed at the origin.Where on the x-axis is the electric field produced by the point charge 157 N/C?

Two identical point charges Q are placed each diagonally opposite corners of a square (1.0 m on a side) .The magnitude of the electric field at either of the two unoccupied corners is 19.1 N/C.The absolute value of the charge Q is

An electric dipole has opposite charges of 2.0 * 10^-15 C which are separated by a distance of 0.40 mm.It is oriented at 40^$\circ$with respect to a uniform electric field of 1.0 * 10³ N/C.Determine the magnitude of the torque exerted on the dipole by the electric field.

A point charge q = 4.00 * 10^-9 C is placed on the x-axis at the origin.What is the electric field produce at x = 40.0 cm?

A point charge of 7.8 $\mu$ C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the half-sphere is 5.3 * 10⁵ Nm²/C,what is the flux through the flat disk section?

Two infinite non-conducting plates are parallel to each other,with an interplate distance of d = 10.0 cm.Each plate carries a uniform two-dimensional charge density of 7.4 $\mu$ C/m².What is the magnitude of the electric field at a point located a quarter of the way between the plates?

A point charge of 7.8 $\mu$ C is located inside a hemisphere,which consists of two surfaces: a flat disk topped by half a sphere.If the electric flux through the flat disk is 3.5* 10⁵ Nm²/C,what is the flux through the half-sphere section?

Two infinite,uniformly charged,flat surfaces are mutually perpendicular.One of the sheets has a charge density of + 20.0 pC/m²,and the other carries a charge density of -50.0 pC/m².What is the magnitude of the electric field at any point not on either surface?

A solid sphere of diameter 20 cm has a non-uniform charge density where A = 0.600 * 10^-14 C/m⁵.Determine the total charge,Q,within the volume of the sphere.

A 4.00 * 10^-9 C point charge is placed at the origin.Where on the x-axis is the electric field produced by the point charge 157 N/C?