Question 1

A charge of uniform volume density (40 nC/m3)  fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

Accepted Answer

A)   2.9 N ⋅ m2/C
B)   2.0 N ⋅ m2/C
C)   2.6 N ⋅ m2/C
D)   2.3 N ⋅ m2/C
E)   1.8 N ⋅ m2/CF) C) and E)
G) All of the above

Question 2

Charge of uniform surface density (4.0 nC/m2)  is distributed on a spherical surface (radius = 2.0 cm) . What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

Accepted Answer

A)   2.8 N ⋅ m2/C
B)   1.7 N ⋅ m2/C
C)   2.3 N ⋅ m2/C
D)   4.0 N ⋅ m2/C
E)   9.1 N ⋅ m2/CF) A) and C)
G) A) and E)

Question 3

The xy plane is "painted" with a uniform surface charge density which is equal to 40 nC/m2. Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its center. What is the electric flux through that part of the spherical surface for which z > 0?

Accepted Answer

A)   14 N ⋅ m2/C
B)   11 N ⋅ m2/C
C)   17 N ⋅ m2/C
D)   20 N ⋅ m2/C
E)   23 N ⋅ m2/CF) C) and E)
G) A) and C)

Question 4

The nucleus of lead-208,  , has 82 protons within a sphere of radius 6.34 × 10−15. Each electric charge has a value of 1.60 × 10−19 C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.

Accepted Answer

Question 5

A 16-nC charge is distributed uniformly along the x axis from x = 0 to x = 4 m. Which of the following integrals is correct for the magnitude (in N/C)  of the electric field at x = +10 m on the x axis?

Accepted Answer

A)  
B)  
C)  
D)  
E)   none of theseF) A) and D)
G) A) and C)

Question 6

The electric flux through the two adjacent spherical surfaces shown below is known to be the same.  It is also known that there is no charge inside either spherical surface. We can conclude that

Accepted Answer

A)   there is no electric field present in this region of space.
B)   there is a constant E field present in this region of space.
C)   the electric flux has a constant value of zero.
D)   any of the above may be correct.
E)   only (a)  and (b)  above may be correct.F) A) and B)
G) D) and E)

Question 7

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm)  surface centered on the origin. Determine the electric flux through this surface.

Accepted Answer

A)   68 N ⋅ m2/C
B)   62 N ⋅ m2/C
C)   45 N ⋅ m2/C
D)   79 N ⋅ m2/C
E)   23 N ⋅ m2/CF) A) and D)
G) B) and D)

Question 8

Charge of uniform linear density (4.0 nC/m)  is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.

Accepted Answer

A)   36 N/C
B)   29 N/C
C)   43 N/C
D)   50 N/C
E)   58 N/CF) A) and B)
G) A) and C)

Question 9

A student has made the statement that the electric flux through one half of a Gaussian surface is always equal to the flux through the other half of the Gaussian surface. This is

Accepted Answer

A)   never true.
B)   never false.
C)   true whenever enclosed charge is symmetrically located at a center point, on a center line, or on a centrally placed plane.
D)   true whenever no charge is enclosed within the Gaussian surface.
E)   true only when no charge is enclosed within the Gaussian surface.F) A) and B)
G) A) and C)

Question 10

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in the region between the two planes has magnitude  . The electric field in the region to the left of A and the electric field in the region to the right of B may have the magnitudes

Accepted Answer

A)   0, 0.
B)   , .
C)   , .
D)   given in any answer above.
E)   given only in answer (a)  or (b)  above.F) None of the above
G) A) and E)

Question 11

A charge (uniform linear density = 9.0 nC/m)  is distributed along the x axis from x = 0 to x = 3.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

Accepted Answer

A)   81 N/C
B)   74 N/C
C)   61 N/C
D)   88 N/C
E)   20 N/CF) A) and B)
G) B) and C)

Question 12

Charge of uniform surface density (0.20 nC/m2)  is distributed over the entire xy plane. Determine the magnitude of the electric field at any point having z = 2.0 m.

Accepted Answer

A)   17 N/C
B)   11 N/C
C)   23 N/C
D)   28 N/C
E)   40 N/CF) D) and E)
G) A) and B)

Question 13

Charge of a uniform density (8.0 nC/m2)  is distributed over the entire xy plane. A charge of uniform density (3.0 nC/m2)  is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.

Accepted Answer

A)   0.79 kN/C
B)   0.17 kN/C
C)   0.62 kN/C
D)   0.34 kN/C
E)   0.28 kN/CF) B) and C)
G) A) and D)

Question 14

Each 2.0-m length of a long cylinder (radius = 4.0 mm)  has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?

Accepted Answer

A)   9.9 kN/C
B)   8.1 kN/C
C)   9.0 kN/C
D)   7.2 kN/C
E)   18 kN/CF) A) and E)
G) A) and D)

Question 15

A long cylindrical shell (radius = 2.0 cm)  has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?

Accepted Answer

A)   0.38 nC
B)   0.76 nC
C)   0.19 nC
D)   0.57 nC
E)   0.98 nCF) All of the above
G) A) and B)

Question 16

Charge of uniform density (40 pC/m2)  is distributed on a spherical surface (radius = 1.0 cm) , and a second concentric spherical surface (radius = 3.0 cm)  carries a uniform charge density of 60 pC/m2. What is the magnitude of the electric field at a point 2.0 cm from the center of the two surfaces?

Accepted Answer

A)   1.1 N/C
B)   4.5 N/C
C)   1.4 N/C
D)   5.6 N/C
E)   0.50 N/CF) A) and C)
G) A) and D)

Question 17

A uniformly charged rod (length = 2.0 m, charge per unit length = 5.0 nC/m)  is bent to form one quadrant of a circle. What is the magnitude of the electric field at the center of the circle?

Accepted Answer

A)   62 N/C
B)   56 N/C
C)   50 N/C
D)   44 N/C
E)   25 N/CF) B) and D)
G) All of the above

Question 18

When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is sphere at the spherical surface to the flux Φcube at the surface of the cube is A)    . B)    . C)  1. D)    . E)    ." class="answers-bank-image d-inline" rel="preload" > . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φsphere at the spherical surface to the flux Φcube at the surface of the cube is

Accepted Answer

A)  sphere at the spherical surface to the flux Φcube at the surface of the cube is 
A)     . 
B)     . 
C)   1. 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
B)  sphere at the spherical surface to the flux Φcube at the surface of the cube is 
A)     . 
B)     . 
C)   1. 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
C)   1.
D)  sphere at the spherical surface to the flux Φcube at the surface of the cube is 
A)     . 
B)     . 
C)   1. 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
E)  sphere at the spherical surface to the flux Φcube at the surface of the cube is 
A)     . 
B)     . 
C)   1. 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .F) B) and E)
G) All of the above

Question 19

An uncharged spherical conducting shell surrounds a charge −q at the center of the shell. Then charge +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the shell are respectively

Accepted Answer

A)   +q, −q.
B)   −q, +q.
C)   +q, +2q.
D)   +2q, +q.
E)   +3q, 0.F) C) and D)
G) B) and D)

Question 20

Charge of uniform density (20 nC/m2)  is distributed over a cylindrical surface (radius = 1.0 cm) , and a second coaxial surface (radius = 3.0 cm)  carries a uniform charge density of −12 nC/m2. Determine the magnitude of the electric field at a point 4.0 cm from the symmetry axis of the two surfaces.

Accepted Answer

A)   0.45 kN/C
B)   1.0 kN/C
C)   0.73 kN/C
D)   0.56 kN/C
E)   2.3 kN/CF) D) and E)
G) All of the above

Exam 24: Gausss Law

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in the region between the two planes has magnitude . The electric field in the region to the left of A and the electric field in the region to the right of B may have the magnitudes

Correct Answer
verified

Charge of uniform surface density (0.20 nC/m²) is distributed over the entire xy plane. Determine the magnitude of the electric field at any point having z = 2.0 m.

Correct Answer
verified

Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.

Correct Answer
verified

A uniformly charged rod (length = 2.0 m, charge per unit length = 5.0 nC/m) is bent to form one quadrant of a circle. What is the magnitude of the electric field at the center of the circle?

Correct Answer
verified

Charge of uniform surface density (4.0 nC/m²) is distributed on a spherical surface (radius = 2.0 cm) . What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

Correct Answer
verified

Correct Answer
verified

Charge of a uniform density (8.0 nC/m²) is distributed over the entire xy plane. A charge of uniform density (3.0 nC/m²) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.

Correct Answer
verified

A student has made the statement that the electric flux through one half of a Gaussian surface is always equal to the flux through the other half of the Gaussian surface. This is

Correct Answer
verified

The nucleus of lead-208, , has 82 protons within a sphere of radius 6.34 × 10−¹⁵. Each electric charge has a value of 1.60 × 10−¹⁹ C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.

Correct Answer
verified

Correct Answer
verified

A long cylindrical shell (radius = 2.0 cm) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?

Correct Answer
verified

A 16-nC charge is distributed uniformly along the x axis from x = 0 to x = 4 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +10 m on the x axis?

Correct Answer
verified

An uncharged spherical conducting shell surrounds a charge −q at the center of the shell. Then charge +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the shell are respectively

Correct Answer
verified

The xy plane is "painted" with a uniform surface charge density which is equal to 40 nC/m². Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its center. What is the electric flux through that part of the spherical surface for which z > 0?

Correct Answer
verified

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface.

Correct Answer
verified

A charge (uniform linear density = 9.0 nC/m) is distributed along the x axis from x = 0 to x = 3.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

Correct Answer
verified

Each 2.0-m length of a long cylinder (radius = 4.0 mm) has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?

Correct Answer
verified

The electric flux through the two adjacent spherical surfaces shown below is known to be the same. It is also known that there is no charge inside either spherical surface. We can conclude that

Correct Answer
verified

When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φ_sphere at the spherical surface to the flux Φ_cube at the surface of the cube is

Correct Answer
verified

A charge of uniform volume density (40 nC/m³) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

Correct Answer
verified

Exam 24: Gausss Law

Two planes of charge with no thickness, A and B, are parallel and vertical. The electric field in the region between the two planes has magnitude . The electric field in the region to the left of A and the electric field in the region to the right of B may have the magnitudes

Correct AnswerverifiedShow Answer

Charge of uniform surface density (0.20 nC/m2) is distributed over the entire xy plane. Determine the magnitude of the electric field at any point having z = 2.0 m.

Correct AnswerverifiedShow Answer

Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y = 2.5 m.

Correct AnswerverifiedShow Answer

A uniformly charged rod (length = 2.0 m, charge per unit length = 5.0 nC/m) is bent to form one quadrant of a circle. What is the magnitude of the electric field at the center of the circle?

Correct AnswerverifiedShow Answer

Charge of uniform surface density (4.0 nC/m2) is distributed on a spherical surface (radius = 2.0 cm) . What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

Correct AnswerverifiedShow Answer

Charge of uniform density (40 pC/m2) is distributed on a spherical surface (radius = 1.0 cm) , and a second concentric spherical surface (radius = 3.0 cm) carries a uniform charge density of 60 pC/m2. What is the magnitude of the electric field at a point 2.0 cm from the center of the two surfaces?

Correct AnswerverifiedShow Answer

Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane. A charge of uniform density (3.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.

Correct AnswerverifiedShow Answer

A student has made the statement that the electric flux through one half of a Gaussian surface is always equal to the flux through the other half of the Gaussian surface. This is

Correct AnswerverifiedShow Answer

The nucleus of lead-208, , has 82 protons within a sphere of radius 6.34 × 10−15. Each electric charge has a value of 1.60 × 10−19 C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A long cylindrical shell (radius = 2.0 cm) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?

Correct AnswerverifiedShow Answer

A 16-nC charge is distributed uniformly along the x axis from x = 0 to x = 4 m. Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +10 m on the x axis?

Correct AnswerverifiedShow Answer

An uncharged spherical conducting shell surrounds a charge −q at the center of the shell. Then charge +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the shell are respectively

Correct AnswerverifiedShow Answer

The xy plane is "painted" with a uniform surface charge density which is equal to 40 nC/m2. Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its center. What is the electric flux through that part of the spherical surface for which z > 0?

Correct AnswerverifiedShow Answer

A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface.

Correct AnswerverifiedShow Answer

A charge (uniform linear density = 9.0 nC/m) is distributed along the x axis from x = 0 to x = 3.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

Correct AnswerverifiedShow Answer

Each 2.0-m length of a long cylinder (radius = 4.0 mm) has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?

Correct AnswerverifiedShow Answer

The electric flux through the two adjacent spherical surfaces shown below is known to be the same. It is also known that there is no charge inside either spherical surface. We can conclude that

Correct AnswerverifiedShow Answer

When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φsphere at the spherical surface to the flux Φcube at the surface of the cube is

Correct AnswerverifiedShow Answer

A charge of uniform volume density (40 nC/m3) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

Correct AnswerverifiedShow Answer

Correct Answer
verified

Charge of uniform surface density (0.20 nC/m²) is distributed over the entire xy plane. Determine the magnitude of the electric field at any point having z = 2.0 m.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Charge of uniform surface density (4.0 nC/m²) is distributed on a spherical surface (radius = 2.0 cm) . What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

Correct Answer
verified

Correct Answer
verified

Charge of a uniform density (8.0 nC/m²) is distributed over the entire xy plane. A charge of uniform density (3.0 nC/m²) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.

Correct Answer
verified

Correct Answer
verified

The nucleus of lead-208, , has 82 protons within a sphere of radius 6.34 × 10−¹⁵. Each electric charge has a value of 1.60 × 10−¹⁹ C. Assuming that the protons create a spherically symmetric distribution of charge, calculate the electric field at the surface of the nucleus.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

The xy plane is "painted" with a uniform surface charge density which is equal to 40 nC/m². Consider a spherical surface with a 4.0-cm radius that has a point in the xy plane as its center. What is the electric flux through that part of the spherical surface for which z > 0?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

When a cube is inscribed in a sphere of radius r, the length L of a side of the cube is . If a positive point charge Q is placed at the center of the spherical surface, the ratio of the electric flux Φ_sphere at the spherical surface to the flux Φ_cube at the surface of the cube is

Correct Answer
verified

A charge of uniform volume density (40 nC/m³) fills a cube with 8.0-cm edges. What is the total electric flux through the surface of this cube?

Correct Answer
verified