Question 1

If a charge is located at the center of a spherical volume and the electric flux through the surface of the sphere is Φ0, what is the flux through the surface if the radius of the sphere doubles?

Accepted Answer

A)  0.125 Φ0
B)  Φ0
C)  5 Φ0
D)  8 Φ0
E)  0.500 Φ0 B

Question 2

A region of space contains a uniform electric field oriented along the y-axis. A frame of surface area A is placed perpendicular to the y-axis in the xz-plane. The magnitude of the electric flux through this frame is Φ0. A second frame is placed in the same electric field in such a way that the magnitude of the electric flux through it is Φ0/2. How is the plane of second frame oriented with respect to the plane of the first one?

Accepted Answer

A)  at a 90° angle
B)  at a 60° angle
C)  parallel to the first frame
D)  perpendicular to the first frame
E)  at a 30° angle B

Question 3

Gaussian surfaces A and B enclose the same positive charge +Q. The area of Gaussian surface A is three times larger than that of Gaussian surface B. The flux of electric field through Gaussian surface A is

Accepted Answer

A)  nine times larger than the flux of electric field through Gaussian surface B.
B)  three times larger than the flux of electric field through Gaussian surface B.
C)  equal to the flux of electric field through Gaussian surface B.
D)  three times smaller than the flux of electric field through Gaussian surface B.
E)  unrelated to the flux of electric field through Gaussian surface B. C

Question 4

A long straight line of charge has a uniform positive charge per unit length λ. The line is partially enclosed in a long rectangular box of length L and ends of area A, the line running through the center of each end. The electric flux through the surface of the box is

Accepted Answer

The answer of A long straight line of charge has...

Question 5

If the net flux through a closed surface is zero, then there can be no charge or charges within that surface.

Accepted Answer

A) True 
 B)False

Question 6

A non-conducting sphere of radius R = 7 cm carries a charge Q = 4 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere does the electric field reach a value equal to half its maximum value?

Accepted Answer

A)  3.5 cm only
B)  4.9 cm only
C)  3.5 cm and 9.9 cm
D)  3.5 cm and 4.9 cm
E)  9.9 cm only

Question 7

An advantage in evaluating surface integrals related to Gauss's law for symmetric charge distributions is

Accepted Answer

A)  the flux is outward.
B)  the flux is inward.
C)  the electric field is of constant magnitude on certain surfaces.
D)  the charge is always on the surface.
E)  the electric field is a constant on any surface.

Question 8

A spherical, non-conducting shell of inner radius r1= 10 cm and outer radius r2= 15 cm carries a total charge Q = 15 μC distributed uniformly throughout its volume. What is the electric field at a distance r= 12 cm from the center of the shell?

Accepted Answer

A)  5.75 × 103 N/C
B)  0
C)  2.87 × 106 N/C
D)  5.75 × 106 N/C
E)  2.87 × 103 N/C

Question 9

State Gauss's law.

Accepted Answer

The answer of State Gauss's law....

Question 10

A positive charge Q is located at the center of an imaginary Gaussian cube of sides a. The flux of the electric field through the surface of the cube is Φ. A second, negative charge -Q is placed next to Q inside the cube. Which of the following statements will be true in this case?

Accepted Answer

A)  The net electric field on the surface of the cube is equal to zero
B)  The electric field on the surface of the cube is perpendicular to the surface
C)  The magnitude of the net electric field is constant on the entire surface of the cube
D)  The net flux through the surface of the cube is equal to zero
E)  The net flux through the surface is equal to 2Φ

Question 11

Gauss's law can be applied using any surface.

Accepted Answer

A) True 
 B)False

Question 12

Three parallel flat planes of charge are separated by a distance d between each of the planes. The charge density on each of the planes is σ. The maximum magnitude of the electric field in the vicinity of the planes is

Accepted Answer

The answer of Three parallel flat planes of charge are...

Question 13

The electric field in a region of space is oriented along the positive y axis. A circle of radius R is placed in the xz-plane. The flux of the electric field through this circle is Φ. The same electric field passing through a second circle of radius 2R parallel to xz-plane would result in a flux equal to

Accepted Answer

A)  Φ.
B)  0.
C)  4Φ.
D)  2Φ.
E)  3Φ.

Question 14

A region of space contains an electric field = E₁ + E₂ where E₁ and E₂ are positive constants. A frame whose corners are located at (x, y, z) = (a/2, 0, a/2), (-a/2, 0,-a/2), (a/2, 0,-a/2), and (-a/2, 0, a/2). What is the magnitude of the electric flux through the frame?

Accepted Answer

The answer of A region of space contains an electric...

Question 15

A point charge q = +1 μC is located at the origin. What is the flux of the electric field of this charge through a square whose corners are (x, y, z) = (1, 1, 1), (-1, 1, 1), (-1, 1, -1), and (1, 1, -1)?

Accepted Answer

A)  11.3 × 104 Nm2/C
B)  0.5 × 104 Nm2/C
C)  0
D)  1.0 × 104 Nm2/C
E)  1.9 × 104 Nm2/C

Question 16

If the electric flux through a circular area is 5.0 Nm2/C, what is the electric flux through a circle of double the diameter assuming the orientations of the circles are the same and the electric field is uniform?

Accepted Answer

A)  5.0 Nm2/C
B)  20 Nm2/C
C)  2.5 Nm2/C
D)  1.0 Nm2/C
E)  10.0 Nm2/C

Question 17

An infinitely long cylinder of radius R = 2 cm carries a uniform charge density ρ = 18 μC/ m3. Calculate the electric field at distance r = 1 cm from the axis of the cylinder.

Accepted Answer

A)  2.5 × 103 N/C
B)  5.1 × 103 N/C
C)  0
D)  2.0 × 103 N/C
E)  10.2 × 103 N/C

Question 18

A uniform electric field  = E0  is set-up in a region of space. A frame is placed in that region in such a way that its plane is perpendicular to the y-axis. Which of the following changes would decrease the magnitude of the electric flux through the frame?

Accepted Answer

A)  Sliding the frame sideways parallel to the z-axis within the xz-plane
B)  moving the frame vertically along the y-axis keeping parallel to the xz-plane
C)  rotating the frame in the xz-plane with respect to the y-axis
D)  sliding the frame sideways parallel to the x-axis within the xz-plane
E)  tilting the frame so that its plane is now in the yz-plane

Question 19

Outside a spherically symmetric charge distribution of net charge Q, Gauss's law can be used to show that the electric field at a given distance

Accepted Answer

A)  must be zero.
B)  must be directed outward.
C)  acts like it originated in a point charge Q at the center of the distribution.
D)  must be directed inward.
E)  must be greater than zero.

Question 20

A solid non-conducting sphere of radius R carries a uniform charge density. At a radial distance r1 = R/4 the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 2R?

Accepted Answer

A)  E0/4
B)  0
C)  E0/2
D)  E0
E)  2E0

Exam 22: Gausss Law

If a charge is located at the center of a spherical volume and the electric flux through the surface of the sphere is Φ₀, what is the flux through the surface if the radius of the sphere doubles?

Gaussian surfaces A and B enclose the same positive charge +Q. The area of Gaussian surface A is three times larger than that of Gaussian surface B. The flux of electric field through Gaussian surface A is

A long straight line of charge has a uniform positive charge per unit length λ. The line is partially enclosed in a long rectangular box of length L and ends of area A, the line running through the center of each end. The electric flux through the surface of the box is

If the net flux through a closed surface is zero, then there can be no charge or charges within that surface.

A non-conducting sphere of radius R = 7 cm carries a charge Q = 4 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere does the electric field reach a value equal to half its maximum value?

An advantage in evaluating surface integrals related to Gauss's law for symmetric charge distributions is

A spherical, non-conducting shell of inner radius r₁= 10 cm and outer radius r₂= 15 cm carries a total charge Q = 15 μC distributed uniformly throughout its volume. What is the electric field at a distance r= 12 cm from the center of the shell?

State Gauss's law.

A positive charge Q is located at the center of an imaginary Gaussian cube of sides a. The flux of the electric field through the surface of the cube is Φ. A second, negative charge -Q is placed next to Q inside the cube. Which of the following statements will be true in this case?

Gauss's law can be applied using any surface.

Three parallel flat planes of charge are separated by a distance d between each of the planes. The charge density on each of the planes is σ. The maximum magnitude of the electric field in the vicinity of the planes is

A region of space contains an electric field = E₁ + E₂ where E₁ and E₂ are positive constants. A frame whose corners are located at (x, y, z) = (a/2, 0, a/2), (-a/2, 0,-a/2), (a/2, 0,-a/2), and (-a/2, 0, a/2). What is the magnitude of the electric flux through the frame?

A point charge q = +1 μC is located at the origin. What is the flux of the electric field of this charge through a square whose corners are (x, y, z) = (1, 1, 1) , (-1, 1, 1) , (-1, 1, -1) , and (1, 1, -1) ?

If the electric flux through a circular area is 5.0 Nm²/C, what is the electric flux through a circle of double the diameter assuming the orientations of the circles are the same and the electric field is uniform?

An infinitely long cylinder of radius R = 2 cm carries a uniform charge density ρ = 18 μC/ m³. Calculate the electric field at distance r = 1 cm from the axis of the cylinder.

A uniform electric field = E₀ is set-up in a region of space. A frame is placed in that region in such a way that its plane is perpendicular to the y-axis. Which of the following changes would decrease the magnitude of the electric flux through the frame?

Outside a spherically symmetric charge distribution of net charge Q, Gauss's law can be used to show that the electric field at a given distance

A solid non-conducting sphere of radius R carries a uniform charge density. At a radial distance r₁ = R/4 the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r₂ = 2R?

Exam 22: Gausss Law

If a charge is located at the center of a spherical volume and the electric flux through the surface of the sphere is Φ0, what is the flux through the surface if the radius of the sphere doubles?

Gaussian surfaces A and B enclose the same positive charge +Q. The area of Gaussian surface A is three times larger than that of Gaussian surface B. The flux of electric field through Gaussian surface A is

A long straight line of charge has a uniform positive charge per unit length λ. The line is partially enclosed in a long rectangular box of length L and ends of area A, the line running through the center of each end. The electric flux through the surface of the box is

If the net flux through a closed surface is zero, then there can be no charge or charges within that surface.

A non-conducting sphere of radius R = 7 cm carries a charge Q = 4 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere does the electric field reach a value equal to half its maximum value?

An advantage in evaluating surface integrals related to Gauss's law for symmetric charge distributions is

A spherical, non-conducting shell of inner radius r1= 10 cm and outer radius r2= 15 cm carries a total charge Q = 15 μC distributed uniformly throughout its volume. What is the electric field at a distance r= 12 cm from the center of the shell?

State Gauss's law.

A positive charge Q is located at the center of an imaginary Gaussian cube of sides a. The flux of the electric field through the surface of the cube is Φ. A second, negative charge -Q is placed next to Q inside the cube. Which of the following statements will be true in this case?

Gauss's law can be applied using any surface.

Three parallel flat planes of charge are separated by a distance d between each of the planes. The charge density on each of the planes is σ. The maximum magnitude of the electric field in the vicinity of the planes is

A region of space contains an electric field = E1 + E2 where E1 and E2 are positive constants. A frame whose corners are located at (x, y, z) = (a/2, 0, a/2), (-a/2, 0,-a/2), (a/2, 0,-a/2), and (-a/2, 0, a/2). What is the magnitude of the electric flux through the frame?

A point charge q = +1 μC is located at the origin. What is the flux of the electric field of this charge through a square whose corners are (x, y, z) = (1, 1, 1) , (-1, 1, 1) , (-1, 1, -1) , and (1, 1, -1) ?

If the electric flux through a circular area is 5.0 Nm2/C, what is the electric flux through a circle of double the diameter assuming the orientations of the circles are the same and the electric field is uniform?

An infinitely long cylinder of radius R = 2 cm carries a uniform charge density ρ = 18 μC/ m3. Calculate the electric field at distance r = 1 cm from the axis of the cylinder.

A uniform electric field = E0 is set-up in a region of space. A frame is placed in that region in such a way that its plane is perpendicular to the y-axis. Which of the following changes would decrease the magnitude of the electric flux through the frame?

Outside a spherically symmetric charge distribution of net charge Q, Gauss's law can be used to show that the electric field at a given distance

A solid non-conducting sphere of radius R carries a uniform charge density. At a radial distance r1 = R/4 the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 2R?

If a charge is located at the center of a spherical volume and the electric flux through the surface of the sphere is Φ₀, what is the flux through the surface if the radius of the sphere doubles?

A spherical, non-conducting shell of inner radius r₁= 10 cm and outer radius r₂= 15 cm carries a total charge Q = 15 μC distributed uniformly throughout its volume. What is the electric field at a distance r= 12 cm from the center of the shell?

A region of space contains an electric field = E₁ + E₂ where E₁ and E₂ are positive constants. A frame whose corners are located at (x, y, z) = (a/2, 0, a/2), (-a/2, 0,-a/2), (a/2, 0,-a/2), and (-a/2, 0, a/2). What is the magnitude of the electric flux through the frame?

If the electric flux through a circular area is 5.0 Nm²/C, what is the electric flux through a circle of double the diameter assuming the orientations of the circles are the same and the electric field is uniform?

An infinitely long cylinder of radius R = 2 cm carries a uniform charge density ρ = 18 μC/ m³. Calculate the electric field at distance r = 1 cm from the axis of the cylinder.

A uniform electric field = E₀ is set-up in a region of space. A frame is placed in that region in such a way that its plane is perpendicular to the y-axis. Which of the following changes would decrease the magnitude of the electric flux through the frame?

A solid non-conducting sphere of radius R carries a uniform charge density. At a radial distance r₁ = R/4 the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r₂ = 2R?