Question 1

The electric field in a region is given by   where the units are in V/m. What is the potential from the origin to (x, y) = (2, 0) m?

Accepted Answer

A)  8 V 
B)  -8 V 
C)  -16/3 V 
D)  -24/3 V 
E)  11 V 
A)  8 V 
B)  -8 V 
C)  -16/3 V 
D)  -24/3 V 
E)  11 V

Question 2

The concept of difference in electric potential is most closely associated with

Accepted Answer

A)  the mechanical force on an electron. 
B)  the number of atoms in one gram-atom. 
C)  the charge on one electron. 
D)  the resistance of a certain specified column of mercury. 
E)  the work per unit quantity of electricity. 
A)  the mechanical force on an electron. 
B)  the number of atoms in one gram-atom. 
C)  the charge on one electron. 
D)  the resistance of a certain specified column of mercury. 
E)  the work per unit quantity of electricity.

Question 3

Two charges Q1 (= +6 $\mu$C) and Q2 (= -2 $\mu$C) are brought from infinity to positions on the x-axis of x = -4 cm and x = +4 cm, respectively. Is it possible to bring a third charge Q3 (= +3 $\mu$C) from infinity to a point on the x-axis between the charges where the potential is zero, and if so, where would this position be?

Accepted Answer

A)  it is not possible 
B)  x = 0 cm 
C)  x = +2 cm 
D)  x = +6 cm 
E)  x = +1.5 cm 
A)  it is not possible 
B)  x = 0 cm 
C)  x = +2 cm 
D)  x = +6 cm 
E)  x = +1.5 cm

Question 4

Use the following figure to answer the next problem.  
-Four point charges q1 = -1 $\mu$C, q2 = 2 $\mu$C, q3 = 3 $\mu$C, and q4 = 4 $\mu$C are located at the corners of a square whose side s = 1 m. The electrostatic potential energy of this system of charges is

Accepted Answer

A)  0.140 J 
B)  0.176 J 
C)  0.286 J 
D)  0.337 J 
E)  0.492 J 
A)  0.140 J 
B)  0.176 J 
C)  0.286 J 
D)  0.337 J 
E)  0.492 J

Question 5

The electric potential at the surface of an infinite plane of charge is 100 V. If the charge density of the charge on the infinite plane is s $\sigma$= 1 nC/m2, the electric potential at a distance of 1 m from the infinite plane is

Accepted Answer

A)  22.3 V 
B)  43.5 V 
C)  50.0 V 
D)  65.7 V 
E)  83.4 V 
A)  22.3 V 
B)  43.5 V 
C)  50.0 V 
D)  65.7 V 
E)  83.4 V

Question 6

A lithium nucleus with a charge of 3(1.6 × 10-19) C and a mass of 7(1.67 × 10-27) kg, and an alpha particle with a charge of 2(1.6 × 10-19) C and a mass of 4(1.67 × 10-27) kg, are at rest. They could be accelerated to the same kinetic energy by

Accepted Answer

A)  accelerating them through the same electrical potential difference. 
B)  accelerating the alpha particle through V volts and the lithium nucleus through 2V/3 volts. 
C)  accelerating the alpha particle through V volts and the lithium nucleus through 7V/4 volts. 
D)  accelerating the alpha particle through V volts and the lithium nucleus through 7V/6 volts. 
E)  none of these procedures 
A)  accelerating them through the same electrical potential difference. 
B)  accelerating the alpha particle through V volts and the lithium nucleus through 2V/3 volts. 
C)  accelerating the alpha particle through V volts and the lithium nucleus through 7V/4 volts. 
D)  accelerating the alpha particle through V volts and the lithium nucleus through 7V/6 volts. 
E)  none of these procedures

Question 7

Which of the following statements is true?

Accepted Answer

A)  The gradient of the potential must be larger at a place where the electric field is stronger. 
B)  The gradient of the potential must be smaller at a place where the electric field is stronger. 
C)  The potential must be larger at a place where the electric field is stronger. 
D)  The potential must be smaller at a place where the electric field is stronger. 
E)  Local electric field strength is proportional to the local electrical potential. 
A)  The gradient of the potential must be larger at a place where the electric field is stronger. 
B)  The gradient of the potential must be smaller at a place where the electric field is stronger. 
C)  The potential must be larger at a place where the electric field is stronger. 
D)  The potential must be smaller at a place where the electric field is stronger. 
E)  Local electric field strength is proportional to the local electrical potential.

Question 8

A charge of 100 nC resides on the surface of a spherical shell of radius 20 cm. The electric potential at a distance of 50 cm from the center of the spherical shell is

Accepted Answer

A)  18 V 
B)  180 V 
C)  1800 V 
D)  18,000 V 
E)  None of these is correct. 
A)  18 V 
B)  180 V 
C)  1800 V 
D)  18,000 V 
E)  None of these is correct.

Question 9

Use the following figure to answer the next problem:   Two equal positive charges are placed x m apart. The equipotential lines are at 100 V interval.
-The work required to move a third charge, q = -e, from the+100 V line to b is

Accepted Answer

A)  -100 eV 
B)  +100 eV 
C)  -200 eV 
D)  +200 eV 
E)  zero 
A)  -100 eV 
B)  +100 eV 
C)  -200 eV 
D)  +200 eV 
E)  zero

Question 10

Which of the following statements regarding potential is true?

Accepted Answer

A)  The units of potential are N/C. 
B)  Potential is a vector quantity. 
C)  Equipotential surfaces are at right angles to lines of force. 
D)  Potential differences can be measured directly with a ballistic galvanometer. 
E)  Equipotential surfaces for an isolated point charge are cubes concentric with the charge. 
A)  The units of potential are N/C. 
B)  Potential is a vector quantity. 
C)  Equipotential surfaces are at right angles to lines of force. 
D)  Potential differences can be measured directly with a ballistic galvanometer. 
E)  Equipotential surfaces for an isolated point charge are cubes concentric with the charge.

Question 11

Use the following to answer the next question.  
-The electrostatic potential energy of a positively charged body is greatest at point _____.

Accepted Answer

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

Question 12

Use the following figure to answer the next four problems:  
-A disk of radius 10 cm has a uniform charge density of 20 nC/cm2. The electric potential at a distance x = 20 cm on its axis is

Accepted Answer

A)  189 kV 
B)  267 kV 
C)  302 kV 
D)  356 kV 
E)  421 kV 
A)  189 kV 
B)  267 kV 
C)  302 kV 
D)  356 kV 
E)  421 kV

Question 13

What is the approximate radius of an equipotential spherical surface of 100 V about a point charge of +45 nC if the potential at an infinite distance from the surface is zero?

Accepted Answer

A)  1.0 m 
B)  2.1 m 
C)  3.0 m 
D)  4.5 m 
E)  4.0 m 
A)  1.0 m 
B)  2.1 m 
C)  3.0 m 
D)  4.5 m 
E)  4.0 m

Question 14

A charged metal ball is lowered into an insulated metal can and permitted to touch the inside of the can. If the ball is withdrawn and hung on a stand, an uncharged ball will be attracted to

Accepted Answer

A)  the outside of the can. 
B)  the inside of the can. 
C)  the outside and the inside of the can. 
D)  the metal ball and the inside of the can. 
E)  the metal ball, the inside of the can, and the outside of the can. 
A)  the outside of the can. 
B)  the inside of the can. 
C)  the outside and the inside of the can. 
D)  the metal ball and the inside of the can. 
E)  the metal ball, the inside of the can, and the outside of the can.

Question 15

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0 *106 V/m. If the maximum potential at the surface of a spherical conductor is 5.0 *106 V, then calculate the radius of the sphere.

Accepted Answer

A)  0.60 m 
B)  1.3 m 
C)  1.7 m 
D)  0.77 m 
E)  15 m 
A)  0.60 m 
B)  1.3 m 
C)  1.7 m 
D)  0.77 m 
E)  15 m

Question 16

Two charges Q1 (= +6 $\mu$C) and Q2 (= -2 $\mu$C) are brought from infinity to positions on the x-axis of x = -4 cm and x = +4 cm, respectively. How much work was done in bringing the charges together?

Accepted Answer

A)  -1.80 * 106 J 
B)  -9.00 * 105 J 
C)  -16.9 J 
D)  -1.35 J 
E)  none of the above 
A)  -1.80 * 106 J 
B)  -9.00 * 105 J 
C)  -16.9 J 
D)  -1.35 J 
E)  none of the above

Question 17

Which of the curves in the graph represents the electrostatic potential energy of a small negative charge plotted as a function of its distance from a positive point charge?

Accepted Answer

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

Question 18

The electric field in a region is given by   where Q is the charge. What is the potential between r = a to r = b?

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of the above 
A)    
B)    
C)    
D)    
E)  none of the above

Question 19

Charges +Q and -Q are arranged at the corners of a square as shown. When the electric field   and the electric potential V are determined at P, the center of the square, we find that

Accepted Answer

A) E $\neq$ 0 and V > 0 B) E = 0 and V = 0 C) E = 0 and V > 0 D) E $\neq$ 0 and V < 0 E) None of these is correct. A) E $\neq$ 0 and V > 0 B) E = 0 and V = 0 C) E = 0 and V > 0 D) E $\neq$ 0 and V < 0 E) None of these is correct.

Question 20

Use the following figure to answer the next four problems:  
-ABC is a straight line with AB = BC = 0.60 nm. BP is perpendicular to ABC and
BP = 0.80 nm. Charges of +3.2 × 10-19 C are placed at A and B. The magnitude of the electric field at P is

Accepted Answer

A)  9.1 × 109 N/C 
B)  6.8 × 109 N/C 
C)  1.2 × 1010 N/C 
D)  2.6 × 1010 N/C 
E)  3.3 × 1010 N/C 
A)  9.1 × 109 N/C 
B)  6.8 × 109 N/C 
C)  1.2 × 1010 N/C 
D)  2.6 × 1010 N/C 
E)  3.3 × 1010 N/C

The electric field in a region is given by where the units are in V/m. What is the potential from the origin to (x, y) = (2, 0) m?

The concept of difference in electric potential is most closely associated with

The electric potential at the surface of an infinite plane of charge is 100 V. If the charge density of the charge on the infinite plane is s $\sigma$ = 1 nC/m², the electric potential at a distance of 1 m from the infinite plane is

A lithium nucleus with a charge of 3(1.6 × 10^-¹⁹) C and a mass of 7(1.67 × 10^-²⁷) kg, and an alpha particle with a charge of 2(1.6 × 10^-¹⁹) C and a mass of 4(1.67 × 10^-²⁷) kg, are at rest. They could be accelerated to the same kinetic energy by

Which of the following statements is true?

A charge of 100 nC resides on the surface of a spherical shell of radius 20 cm. The electric potential at a distance of 50 cm from the center of the spherical shell is

Use the following figure to answer the next problem: Two equal positive charges are placed x m apart. The equipotential lines are at 100 V interval. -The work required to move a third charge, q = -e, from the+100 V line to b is

Which of the following statements regarding potential is true?

Use the following to answer the next question. -The electrostatic potential energy of a positively charged body is greatest at point _____.

Use the following figure to answer the next four problems: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm². The electric potential at a distance x = 20 cm on its axis is

What is the approximate radius of an equipotential spherical surface of 100 V about a point charge of +45 nC if the potential at an infinite distance from the surface is zero?

A charged metal ball is lowered into an insulated metal can and permitted to touch the inside of the can. If the ball is withdrawn and hung on a stand, an uncharged ball will be attracted to

Dielectric breakdown occurs in the air at an electric field strength of E_max = 3.0 10⁶ V/m. If the maximum potential at the surface of a spherical conductor is 5.0 10⁶ V, then calculate the radius of the sphere.

Two charges Q₁ (= +6 $\mu$ C) and Q₂ (= -2 $\mu$ C) are brought from infinity to positions on the x-axis of x = -4 cm and x = +4 cm, respectively. How much work was done in bringing the charges together?

Which of the curves in the graph represents the electrostatic potential energy of a small negative charge plotted as a function of its distance from a positive point charge?

The electric field in a region is given by where Q is the charge. What is the potential between r = a to r = b?

Charges +Q and -Q are arranged at the corners of a square as shown. When the electric field and the electric potential V are determined at P, the center of the square, we find that

Use the following figure to answer the next four problems: -ABC is a straight line with AB = BC = 0.60 nm. BP is perpendicular to ABC and BP = 0.80 nm. Charges of +3.2 × 10^-¹⁹ C are placed at A and B. The magnitude of the electric field at P 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

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Elementary Particles and the Beginning of the Universe

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Exam 3: Electric Potential

The electric field in a region is given by where the units are in V/m. What is the potential from the origin to (x, y) = (2, 0) m?

The concept of difference in electric potential is most closely associated with

Use the following figure to answer the next problem. -Four point charges q1 = -1 μ\muμ C, q2 = 2 μ\muμ C, q3 = 3 μ\muμ C, and q4 = 4 μ\muμ C are located at the corners of a square whose side s = 1 m. The electrostatic potential energy of this system of charges is

The electric potential at the surface of an infinite plane of charge is 100 V. If the charge density of the charge on the infinite plane is s σ\sigmaσ = 1 nC/m2, the electric potential at a distance of 1 m from the infinite plane is

A lithium nucleus with a charge of 3(1.6 × 10-19) C and a mass of 7(1.67 × 10-27) kg, and an alpha particle with a charge of 2(1.6 × 10-19) C and a mass of 4(1.67 × 10-27) kg, are at rest. They could be accelerated to the same kinetic energy by

Which of the following statements is true?

A charge of 100 nC resides on the surface of a spherical shell of radius 20 cm. The electric potential at a distance of 50 cm from the center of the spherical shell is

Use the following figure to answer the next problem: Two equal positive charges are placed x m apart. The equipotential lines are at 100 V interval. -The work required to move a third charge, q = -e, from the+100 V line to b is

Which of the following statements regarding potential is true?

Use the following to answer the next question. -The electrostatic potential energy of a positively charged body is greatest at point _____.

Use the following figure to answer the next four problems: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm2. The electric potential at a distance x = 20 cm on its axis is

What is the approximate radius of an equipotential spherical surface of 100 V about a point charge of +45 nC if the potential at an infinite distance from the surface is zero?

A charged metal ball is lowered into an insulated metal can and permitted to touch the inside of the can. If the ball is withdrawn and hung on a stand, an uncharged ball will be attracted to

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0 *106 V/m. If the maximum potential at the surface of a spherical conductor is 5.0 *106 V, then calculate the radius of the sphere.

Two charges Q1 (= +6 μ\muμ C) and Q2 (= -2 μ\muμ C) are brought from infinity to positions on the x-axis of x = -4 cm and x = +4 cm, respectively. How much work was done in bringing the charges together?

Which of the curves in the graph represents the electrostatic potential energy of a small negative charge plotted as a function of its distance from a positive point charge?

The electric field in a region is given by where Q is the charge. What is the potential between r = a to r = b?

Charges +Q and -Q are arranged at the corners of a square as shown. When the electric field and the electric potential V are determined at P, the center of the square, we find that

Use the following figure to answer the next four problems: -ABC is a straight line with AB = BC = 0.60 nm. BP is perpendicular to ABC and BP = 0.80 nm. Charges of +3.2 × 10-19 C are placed at A and B. The magnitude of the electric field at P 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 electric potential at the surface of an infinite plane of charge is 100 V. If the charge density of the charge on the infinite plane is s $\sigma$ = 1 nC/m², the electric potential at a distance of 1 m from the infinite plane is

A lithium nucleus with a charge of 3(1.6 × 10^-¹⁹) C and a mass of 7(1.67 × 10^-²⁷) kg, and an alpha particle with a charge of 2(1.6 × 10^-¹⁹) C and a mass of 4(1.67 × 10^-²⁷) kg, are at rest. They could be accelerated to the same kinetic energy by

Use the following figure to answer the next four problems: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm². The electric potential at a distance x = 20 cm on its axis is

Dielectric breakdown occurs in the air at an electric field strength of E_max = 3.0 10⁶ V/m. If the maximum potential at the surface of a spherical conductor is 5.0 10⁶ V, then calculate the radius of the sphere.

Two charges Q₁ (= +6 $\mu$ C) and Q₂ (= -2 $\mu$ C) are brought from infinity to positions on the x-axis of x = -4 cm and x = +4 cm, respectively. How much work was done in bringing the charges together?

Use the following figure to answer the next four problems: -ABC is a straight line with AB = BC = 0.60 nm. BP is perpendicular to ABC and BP = 0.80 nm. Charges of +3.2 × 10^-¹⁹ C are placed at A and B. The magnitude of the electric field at P is