Question 1

The potential of a spherical shell carrying 6.0 $\mu$C of charge is 540 kV. What is the radius of the shell?

Accepted Answer

A)  1.0*101 m 
B)  1.0 *102 m 
C)  3.2 * 10-1 m 
D)  1.0*10-1 m 
E)  none of the above 
A)  1.0*101 m 
B)  1.0 *102 m 
C)  3.2 * 10-1 m 
D)  1.0*10-1 m 
E)  none of the above

Question 2

Use the following figure to answer the next problem.  
-Which of the following statements is false?

Accepted Answer

A)  The total work required to assemble a collection of discrete charges is the electrostatic potential energy of the system. 
B)  The potential energy of a pair of positively charged bodies is positive. 
C)  The potential energy of a pair of oppositely charged bodies is positive. 
D)  The potential energy of a pair of oppositely charged bodies is negative. 
E)  The potential energy of a pair of negatively charged bodies is negative. 
A)  The total work required to assemble a collection of discrete charges is the electrostatic potential energy of the system. 
B)  The potential energy of a pair of positively charged bodies is positive. 
C)  The potential energy of a pair of oppositely charged bodies is positive. 
D)  The potential energy of a pair of oppositely charged bodies is negative. 
E)  The potential energy of a pair of negatively charged bodies is negative.

Question 3

Use the following figure to answer the next four problems:  
-A ring of radius 5 cm is the yz plane with its center at the origin. The ring carries a uniform charge of 10 nC. A small particle of mass m = 10 mg and charge q0 = 5 nC is placed at x = 12 cm and released. The speed of the particle when it is a great distance from the ring is

Accepted Answer

A)  1.36 cm/s 
B)  1.94 cm/s 
C)  2.63 cm/s 
D)  3.43 cm/s 
E)  None of these is correct. 
A)  1.36 cm/s 
B)  1.94 cm/s 
C)  2.63 cm/s 
D)  3.43 cm/s 
E)  None of these is correct.

Question 4

When a small, positively charged metal ball comes in contact with the interior of a positively charged metal shell,

Accepted Answer

A)  the charge on the ball becomes negative. 
B)  the amount of positive charge on the ball increases. 
C)  the positive charge on the shell decreases. 
D)  the charge on the shell and the ball reach the same value. 
E)  the ball loses all of its excess charge. 
A)  the charge on the ball becomes negative. 
B)  the amount of positive charge on the ball increases. 
C)  the positive charge on the shell decreases. 
D)  the charge on the shell and the ball reach the same value. 
E)  the ball loses all of its excess charge.

Question 5

Calculate the work done to bring a charge, Q = 1 mC, from infinity and place it at a distance R = 10 cm along the axis of a thin uniformly charged ring with linear charge density $\sigma$ = 10 $\mu$C/m and radius R.

Accepted Answer

A)  564 J 
B)  282 J 
C)  127 J 
D)  399 J 
E)  zero 
A)  564 J 
B)  282 J 
C)  127 J 
D)  399 J 
E)  zero

Question 6

The vector that best represents the direction of the electric field intensity at point x on the 20-V equipotential line is

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these is correct. 
A)    
B)    
C)    
D)    
E)  None of these is correct.

Question 7

The electron volt is a unit of

Accepted Answer

A)  capacitance 
B)  charge 
C)  energy 
D)  momentum 
E)  potential 
A)  capacitance 
B)  charge 
C)  energy 
D)  momentum 
E)  potential

Question 8

A uniform electric field exists between two parallel plates separated by 2.0 cm. The intensity of the field is 15 kN/C. What is the potential difference between the plates?

Accepted Answer

A)  0.75 MV 
B)  30 kV 
C)  15 kV 
D)  0.30 kV 
E)  54 kV 
A)  0.75 MV 
B)  30 kV 
C)  15 kV 
D)  0.30 kV 
E)  54 kV

Question 9

The electrostatic potential as a function of distance along a certain line in space is shown in graph (1). Which of the curves in graph (2) is most likely to represent the electric field as a function of distance along the same line?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 10

Charges Q and q (Q $\neq$ q), separated by a distance d, produce a potential VP = 0 at point P. This means that

Accepted Answer

A)  no force is acting on a test charge placed at point P. 
B)  Q and q must have the same sign. 
C)  the electric field must be zero at point P. 
D)  the net work in bringing Q to distance d from q is zero. 
E)  the net work needed to bring a charge from infinity to point P is zero. 
A)  no force is acting on a test charge placed at point P. 
B)  Q and q must have the same sign. 
C)  the electric field must be zero at point P. 
D)  the net work in bringing Q to distance d from q is zero. 
E)  the net work needed to bring a charge from infinity to point P is zero.

Question 11

When 5.0 C of charge moves at constant speed along a path between two points differing in potential by 12 V, the amount of work done is

Accepted Answer

A)  2.4 J 
B)  0.42 J 
C)  5.0 J 
D)  12 J 
E)  60 J 
A)  2.4 J 
B)  0.42 J 
C)  5.0 J 
D)  12 J 
E)  60 J

Question 12

A proton (charge = e, mass = 1.67 *10-27 kg) with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e, mass = 3.95 * 10-25 kg). Calculate how close to the uranium the proton gets before it comes to rest. (Assume the uranium nucleus does not move.)

Accepted Answer

A)  2.75 * 105 m 
B)  4.40 * 10-8 m 
C)  4.40*10-14 m 
D)  2.10 *10-7 m 
E)  none of the above 
A)  2.75 * 105 m 
B)  4.40 * 10-8 m 
C)  4.40*10-14 m 
D)  2.10 *10-7 m 
E)  none of the above

Question 13

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0 *106 V/m. What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

Accepted Answer

A)  2.7* 10-5 C/m2  
B)  1.2* 10-5 C/m2  
C)  8.1* 10-5 C/m2  
D)  8.6 * 10-6 C/m2  
E)  1.8 * 10-5 C/m2  
A)  2.7* 10-5 C/m2  
B)  1.2* 10-5 C/m2  
C)  8.1* 10-5 C/m2  
D)  8.6 * 10-6 C/m2  
E)  1.8 * 10-5 C/m2

Question 14

Use the following figure to answer the next problem:   The electric field versus distance for a charge is plotted above. Use the reference point
V = 0 at r$\rightarrow$infinity.
-The work required to move a charge, q = +e from infinity to r = 2 m is

Accepted Answer

A)  4000 eV 
B)  2000 eV 
C)  1000 eV 
D)    4000 eV 
E)  zero 
A)  4000 eV 
B)  2000 eV 
C)  1000 eV 
D)    4000 eV 
E)  zero

Question 15

A conducting sphere of radius r1 = 10 cm and charge q1 = 2 $\mu$C is placed far apart from a second conducting sphere of radius r2 = 30 cm and charge q2 = 3 $\mu$C. The two spheres are then connected by a thin conducting wire. What is the charge on the first sphere after the two spheres are connected by the wire?

Accepted Answer

A)  2 $\mu$C 
B)  2.5 $\mu$C 
C)  3 $\mu$C 
D)  1.25 $\mu$C 
E)  none of the above 
A)  2 $\mu$C 
B)  2.5 $\mu$C 
C)  3 $\mu$C 
D)  1.25 $\mu$C 
E)  none of the above

Question 16

A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell of inner radius rb1 and outer radius rb2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for rb1 $\lt$ r $\lt$rb2 is

Accepted Answer

A)    
B)    
C)    
D)    
E)  zero 
A)    
B)    
C)    
D)    
E)  zero

Question 17

The electric potential is known to be a function of x only; i.e., v = V(x). The electric field at a position x1 is given by

Accepted Answer

A)  V(x1) 
B)    
C)    
D)    
E)    
A)  V(x1) 
B)    
C)    
D)    
E)

Question 18

Use the following to answer the next question:  
-Which point in the electric field in the diagram is at the lowest potential?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 19

The electric potential in a region of space is given by
V(x, y, z) = (10 V/m) x + (20 V/m) y + (30 V/m) z
The x-component of the electric field in this region is

Accepted Answer

A)  (10 V/m)   
B)  -(10 V/m)   
C)  (20 V/m)   
D)  -(20 V/m)   
E)  -(30 V/m)   
A)  (10 V/m)   
B)  -(10 V/m)   
C)  (20 V/m)   
D)  -(20 V/m)   
E)  -(30 V/m)

Question 20

The vector that best represents the direction of the electric field intensity at point x on the 200-V equipotential line is

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these is correct. 
A)    
B)    
C)    
D)    
E)  None of these is correct.

The potential of a spherical shell carrying 6.0 $\mu$ C of charge is 540 kV. What is the radius of the shell?

Use the following figure to answer the next problem. -Which of the following statements is false?

When a small, positively charged metal ball comes in contact with the interior of a positively charged metal shell,

The vector that best represents the direction of the electric field intensity at point x on the 20-V equipotential line is

The electron volt is a unit of

A uniform electric field exists between two parallel plates separated by 2.0 cm. The intensity of the field is 15 kN/C. What is the potential difference between the plates?

The electrostatic potential as a function of distance along a certain line in space is shown in graph (1). Which of the curves in graph (2) is most likely to represent the electric field as a function of distance along the same line?

$Charges Q and q (Q \neq q), separated by a distance d, produce a potential V<sub>P</sub> = 0 at point P. This means that$ Charges Q and q (Q $\neq$ q), separated by a distance d, produce a potential V_P = 0 at point P. This means that

When 5.0 C of charge moves at constant speed along a path between two points differing in potential by 12 V, the amount of work done is

A proton (charge = e, mass = 1.67 10^-27 kg) with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e, mass = 3.95 10^-25 kg). Calculate how close to the uranium the proton gets before it comes to rest. (Assume the uranium nucleus does not move.)

Dielectric breakdown occurs in the air at an electric field strength of E_max = 3.0 *10⁶ V/m. What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

A solid conducting sphere of radius r_a is placed concentrically inside a conducting spherical shell of inner radius r_b1 and outer radius r_b2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for r_b1 $\lt$ r $\lt$ r_b₂ is

The electric potential is known to be a function of x only; i.e., v = V(x). The electric field at a position x₁ is given by

Use the following to answer the next question: -Which point in the electric field in the diagram is at the lowest potential?

The electric potential in a region of space is given by V(x, y, z) = (10 V/m) x + (20 V/m) y + (30 V/m) z The x-component of the electric field in this region is

The vector that best represents the direction of the electric field intensity at point x on the 200-V equipotential line is

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

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

Exam 3: Electric Potential

The potential of a spherical shell carrying 6.0 μ\muμ C of charge is 540 kV. What is the radius of the shell?

Use the following figure to answer the next problem. -Which of the following statements is false?

When a small, positively charged metal ball comes in contact with the interior of a positively charged metal shell,

Calculate the work done to bring a charge, Q = 1 mC, from infinity and place it at a distance R = 10 cm along the axis of a thin uniformly charged ring with linear charge density σ\sigmaσ = 10 μ\muμ C/m and radius R.

The vector that best represents the direction of the electric field intensity at point x on the 20-V equipotential line is

The electron volt is a unit of

A uniform electric field exists between two parallel plates separated by 2.0 cm. The intensity of the field is 15 kN/C. What is the potential difference between the plates?

The electrostatic potential as a function of distance along a certain line in space is shown in graph (1). Which of the curves in graph (2) is most likely to represent the electric field as a function of distance along the same line?

Charges Q and q (Q ≠\neq= q), separated by a distance d, produce a potential VP = 0 at point P. This means that

When 5.0 C of charge moves at constant speed along a path between two points differing in potential by 12 V, the amount of work done is

A proton (charge = e, mass = 1.67 *10-27 kg) with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e, mass = 3.95 * 10-25 kg). Calculate how close to the uranium the proton gets before it comes to rest. (Assume the uranium nucleus does not move.)

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0 *106 V/m. What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

Use the following figure to answer the next problem: The electric field versus distance for a charge is plotted above. Use the reference point V = 0 at r →\rightarrow→ infinity. -The work required to move a charge, q = +e from infinity to r = 2 m is

A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell of inner radius rb1 and outer radius rb2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for rb1 <\lt< r <\lt< rb2 is

The electric potential is known to be a function of x only; i.e., v = V(x). The electric field at a position x1 is given by

Use the following to answer the next question: -Which point in the electric field in the diagram is at the lowest potential?

The electric potential in a region of space is given by V(x, y, z) = (10 V/m) x + (20 V/m) y + (30 V/m) z The x-component of the electric field in this region is

The vector that best represents the direction of the electric field intensity at point x on the 200-V equipotential line is

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

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

The potential of a spherical shell carrying 6.0 $\mu$ C of charge is 540 kV. What is the radius of the shell?

$Charges Q and q (Q \neq q), separated by a distance d, produce a potential V<sub>P</sub> = 0 at point P. This means that$ Charges Q and q (Q $\neq$ q), separated by a distance d, produce a potential V_P = 0 at point P. This means that

A proton (charge = e, mass = 1.67 10^-27 kg) with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e, mass = 3.95 10^-25 kg). Calculate how close to the uranium the proton gets before it comes to rest. (Assume the uranium nucleus does not move.)

Dielectric breakdown occurs in the air at an electric field strength of E_max = 3.0 *10⁶ V/m. What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

A solid conducting sphere of radius r_a is placed concentrically inside a conducting spherical shell of inner radius r_b1 and outer radius r_b2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for r_b1 $\lt$ r $\lt$ r_b₂ is

The electric potential is known to be a function of x only; i.e., v = V(x). The electric field at a position x₁ is given by