Question 1

The figure shows a surface, S, with two charges q and -2q. The net flux through the surface is

Accepted Answer

A)  q/$\isin$0  
B)  -2q/$\isin$0  
C)  -q/$\isin$0  
D)  zero 
E)  None of these is correct. 
A)  q/$\isin$0  
B)  -2q/$\isin$0  
C)  -q/$\isin$0  
D)  zero 
E)  None of these is correct.

Question 2

Use the following scenario for the next question.   A solid conducting sphere of radius rS1U1B1aS1U1B0 is placed concentrically inside a conducting spherical shell of inner radius rS1U1B1b1S1U1B0 and outer radius rS1U1B1b2S1U1B0. The inner sphere carries a charge Q while the outer sphere does not carry any net charge.
-The electric field for r  $\gt$ rb1 is

Accepted Answer

A)  -kQ/r2 
B)  kQ/r2 
C)  -2kQ/r 
D)  2kQ/r 
E)  zero 
A)  -kQ/r2 
B)  kQ/r2 
C)  -2kQ/r 
D)  2kQ/r 
E)  zero

Question 3

A solid spherical conductor has a radius of 15 cm. The electric field 30 cm from the center of this sphere has a magnitude of 800 N/C. What is the surface charge density$\sigma$on the sphere?

Accepted Answer

A)  7.1* 10-9 C/m2  
B)  1.0 *10-8 C/m2  
C)  1.4 * 10-8 C/m2  
D)  2.8 *10-8 C/m2  
E)  1.1 * 10-7 C/m2  
A)  7.1* 10-9 C/m2  
B)  1.0 *10-8 C/m2  
C)  1.4 * 10-8 C/m2  
D)  2.8 *10-8 C/m2  
E)  1.1 * 10-7 C/m2

Question 4

A uniform circular ring has charge Q = 7.36 $\mu$C, and radius r = 3.33 cm. Calculate the magnitude of the electric field at a distance of 4.20 cm along the axis of the ring.

Accepted Answer

A)  1.81 * 101 N/C 
B)  6.52 N/C 
C)  1.44* 107 N/C 
D)  1.44 *101 N/C 
E)  1.81 * 107 N/C 
A)  1.81 * 101 N/C 
B)  6.52 N/C 
C)  1.44* 107 N/C 
D)  1.44 *101 N/C 
E)  1.81 * 107 N/C

Question 5

A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a uniform charge distribution totaling +Q and the hollow sphere a charge of -Q, the electric field at radius r, where r 0)-1?

Accepted Answer

A)  kQ/r2  
B)  kQr/a3  
C)  kQ/a2  
D)  kQ/b2  
E)  zero 
A)  kQ/r2  
B)  kQr/a3  
C)  kQ/a2  
D)  kQ/b2  
E)  zero

Question 6

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density
$\rho$ = 200 nC/m3. What is the electric field at r = 4.1 cm?

Accepted Answer

A)  zero 
B)  0.11 kN/C 
C)  57 N/C 
D)  0.44 kN/C 
E)  0.23 kN/C 
A)  zero 
B)  0.11 kN/C 
C)  57 N/C 
D)  0.44 kN/C 
E)  0.23 kN/C

Question 7

A uniform circular ring has charge Q and radius r. A uniformly charged disk also has charge Q and radius r. Calculate the electric field at a distance of r along the axis of the ring divided by the electric field at a distance of r along the axis of the disk.

Accepted Answer

A)  1.0 
B)  0.60 
C)  1.7 
D)  0.50 
E)  0.85 
A)  1.0 
B)  0.60 
C)  1.7 
D)  0.50 
E)  0.85

Question 8

A cubical surface with sides 2.0 m long is oriented with right and left faces perpendicular to a uniform electric field   of (1.6 *105 N/C)   . The net charge enclosed by this surface is approximately

Accepted Answer

A)  25 * 105 µC 
B)  6.4 *105 µC 
C)  13 *105 µC 
D)  zero 
E)  38 * 105 µC 
A)  25 * 105 µC 
B)  6.4 *105 µC 
C)  13 *105 µC 
D)  zero 
E)  38 * 105 µC

Question 9

An electric field is   = (400 N/C)   for x > 0 and   = (-400 N/C)   for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the flux through each end of the cylinder?

Accepted Answer

A)  zero 
B)  1.3 kN · m2/C 
C)  0.25 kN · m2/C 
D)  13 N · m2/C 
E)  0.13 MN · m2/C 
A)  zero 
B)  1.3 kN · m2/C 
C)  0.25 kN · m2/C 
D)  13 N · m2/C 
E)  0.13 MN · m2/C

Question 10

A spherical shell of radius 9.0 cm carries a uniform surface charge density
$\Sigma$ = 9.0 nC/m2. The electric field at r = 8.9 cm is approximately

Accepted Answer

A)  1.0 kN/C 
B)  0.13 kN/C 
C)  0.32 kN/C 
D)  zero 
E)  0.65 kN/C 
A)  1.0 kN/C 
B)  0.13 kN/C 
C)  0.32 kN/C 
D)  zero 
E)  0.65 kN/C

Question 11

An electric field is   = (400 N/C)   for x > 0 and   = (-400 N/C)   for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the net charge inside the cylinder?

Accepted Answer

A)  zero 
B)  22 nC 
C)  0.22 nC 
D)  4.5 nC 
E)  2.2 µC 
A)  zero 
B)  22 nC 
C)  0.22 nC 
D)  4.5 nC 
E)  2.2 µC

Question 12

Consider a uniform electric field   = (5.0 kN/C)   . What is the flux of this field through a square of side 20 cm in a plane parallel to the yz plane?

Accepted Answer

A)  0.10 kN · m2/C 
B)  0.20 kN · m2/C 
C)  0.40 kN · m2/C 
D)  0.50 kN · m2/C 
E)  0.13 kN · m2/C 
A)  0.10 kN · m2/C 
B)  0.20 kN · m2/C 
C)  0.40 kN · m2/C 
D)  0.50 kN · m2/C 
E)  0.13 kN · m2/C

Question 13

The figure shows a surface enclosing the charges q and -q. The net flux through the surface surrounding the two charges is

Accepted Answer

A)  q/$\isin$0  
B)  2q/$\isin$0  
C)  -q/$\isin$0  
D)  zero 
E)  None of these is correct. 
A)  q/$\isin$0  
B)  2q/$\isin$0  
C)  -q/$\isin$0  
D)  zero 
E)  None of these is correct.

Question 14

A hollow metal sphere has a total charge of 100 µC. If the radius of the sphere is
50 cm, the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

Accepted Answer

A)  3.0 *105 N/C 
B)  2.6*105 N/C 
C)  1.0* 105 N/C 
D)  7.4 * 104 N/C 
E)  3.6 * 106 N/C 
A)  3.0 *105 N/C 
B)  2.6*105 N/C 
C)  1.0* 105 N/C 
D)  7.4 * 104 N/C 
E)  3.6 * 106 N/C

Question 15

Use the figure for the next three problems.   An infinite slab of thickness 2d lies in the xz-plane. The slab has a uniform volume charge density $\rho$.
-The electric at y = b where b > d is

Accepted Answer

A)  2$\pi$k$\rho$/d 
B)  4$\pi$k$\rho$/d2 
C)  4$\pi$k$\rho$d 
D)  2$\pi$k$\rho$d 
E)  4$\pi$k$\rho$/d 
A)  2$\pi$k$\rho$/d 
B)  4$\pi$k$\rho$/d2 
C)  4$\pi$k$\rho$d 
D)  2$\pi$k$\rho$d 
E)  4$\pi$k$\rho$/d

The figure shows a surface, S, with two charges q and -2q. The net flux through the surface is

A solid spherical conductor has a radius of 15 cm. The electric field 30 cm from the center of this sphere has a magnitude of 800 N/C. What is the surface charge density $\sigma$ on the sphere?

A uniform circular ring has charge Q = 7.36 $\mu$ C, and radius r = 3.33 cm. Calculate the magnitude of the electric field at a distance of 4.20 cm along the axis of the ring.

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³. What is the electric field at r = 4.1 cm?

A uniform circular ring has charge Q and radius r. A uniformly charged disk also has charge Q and radius r. Calculate the electric field at a distance of r along the axis of the ring divided by the electric field at a distance of r along the axis of the disk.

A cubical surface with sides 2.0 m long is oriented with right and left faces perpendicular to a uniform electric field of (1.6 *10⁵ N/C) . The net charge enclosed by this surface is approximately

An electric field is = (400 N/C) for x > 0 and = (-400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the flux through each end of the cylinder?

A spherical shell of radius 9.0 cm carries a uniform surface charge density $\Sigma$ = 9.0 nC/m². The electric field at r = 8.9 cm is approximately

An electric field is = (400 N/C) for x > 0 and = (-400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the net charge inside the cylinder?

Consider a uniform electric field = (5.0 kN/C) . What is the flux of this field through a square of side 20 cm in a plane parallel to the yz plane?

The figure shows a surface enclosing the charges q and -q. The net flux through the surface surrounding the two charges is

A hollow metal sphere has a total charge of 100 µC. If the radius of the sphere is 50 cm, the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

The Electric Field I: Discrete Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

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Exam 2: The Electric Field II: Continuous Charge Distributions

The figure shows a surface, S, with two charges q and -2q. The net flux through the surface is

A solid spherical conductor has a radius of 15 cm. The electric field 30 cm from the center of this sphere has a magnitude of 800 N/C. What is the surface charge density σ\sigmaσ on the sphere?

A uniform circular ring has charge Q = 7.36 μ\muμ C, and radius r = 3.33 cm. Calculate the magnitude of the electric field at a distance of 4.20 cm along the axis of the ring.

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density ρ\rhoρ = 200 nC/m3. What is the electric field at r = 4.1 cm?

A uniform circular ring has charge Q and radius r. A uniformly charged disk also has charge Q and radius r. Calculate the electric field at a distance of r along the axis of the ring divided by the electric field at a distance of r along the axis of the disk.

A cubical surface with sides 2.0 m long is oriented with right and left faces perpendicular to a uniform electric field of (1.6 *105 N/C) . The net charge enclosed by this surface is approximately

An electric field is = (400 N/C) for x > 0 and = (-400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the flux through each end of the cylinder?

A spherical shell of radius 9.0 cm carries a uniform surface charge density Σ\SigmaΣ = 9.0 nC/m2. The electric field at r = 8.9 cm is approximately

An electric field is = (400 N/C) for x > 0 and = (-400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = -15 cm. What is the net charge inside the cylinder?

Consider a uniform electric field = (5.0 kN/C) . What is the flux of this field through a square of side 20 cm in a plane parallel to the yz plane?

The figure shows a surface enclosing the charges q and -q. The net flux through the surface surrounding the two charges is

A hollow metal sphere has a total charge of 100 µC. If the radius of the sphere is 50 cm, the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

Use the figure for the next three problems. An infinite slab of thickness 2d lies in the xz-plane. The slab has a uniform volume charge density ρ\rhoρ . -The electric at y = b where b > d is

The Electric Field I: Discrete Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

A solid spherical conductor has a radius of 15 cm. The electric field 30 cm from the center of this sphere has a magnitude of 800 N/C. What is the surface charge density $\sigma$ on the sphere?

A uniform circular ring has charge Q = 7.36 $\mu$ C, and radius r = 3.33 cm. Calculate the magnitude of the electric field at a distance of 4.20 cm along the axis of the ring.

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³. What is the electric field at r = 4.1 cm?

A cubical surface with sides 2.0 m long is oriented with right and left faces perpendicular to a uniform electric field of (1.6 *10⁵ N/C) . The net charge enclosed by this surface is approximately

A spherical shell of radius 9.0 cm carries a uniform surface charge density $\Sigma$ = 9.0 nC/m². The electric field at r = 8.9 cm is approximately