Question 1

A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference,VA - VB,between points A and B?

Accepted Answer

A)  48 V 
B)  96 V 
C)  0.00 V 
D)  96 kV 
E)  48 kV 
A)  48 V 
B)  96 V 
C)  0.00 V 
D)  96 kV 
E)  48 kV D

Question 2

Three point charges of -2.00 μC,+4.00 μC,and +6.00 μC are placed along the x-axis as shown in the figure.What is the electrical potential at point P (relative to infinity)due to these charges? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

Accepted Answer

A)  -307 kV 
B)  +307 kV 
C)  -154 kV 
D)  +154 kV 
E)  0 kV 
A)  -307 kV 
B)  +307 kV 
C)  -154 kV 
D)  +154 kV 
E)  0 kV B

Question 3

A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity).If the sphere's radius were twice as large,but the charge on the sphere were the same,what would be the potential on the surface relative to infinity?

Accepted Answer

A)  50 V 
B)  25 V 
C)  100 V 
D)  200 V 
A)  50 V 
B)  25 V 
C)  100 V 
D)  200 V A

Question 4

Two large conducting parallel plates A and B are separated by 2.4 m.A uniform field of   ,in the positive x-direction,is produced by charges on the plates.The center plane at   m is an equipotential surface on which   .An electron is projected from   ,with an initial velocity of   perpendicular to the plates in the positive x-direction,as shown in the figure.What is the kinetic energy of the electron as it reaches plate A?   ,

Accepted Answer

A)  +2.4 × 10-16 J 
B)  +3.3 × 10-16 J 
C)  -2.4 × 10-16 J 
D)  -2.9 × 10-16 J 
E)  -3.3 × 10-16 J 
A)  +2.4 × 10-16 J 
B)  +3.3 × 10-16 J 
C)  -2.4 × 10-16 J 
D)  -2.9 × 10-16 J 
E)  -3.3 × 10-16 J

Question 5

The graph in the figure shows the variation of the electric potential V(x)(in arbitrary units)as a function of the position x (also in arbitrary units).Which of the choices below correctly describes the orientation of the x-component of the electric field along the x-axis?

Accepted Answer

A)  Ex is positive from x = -2 to x = 2. 
B)  Ex is positive from x = -2 to x = 0, and negative from x = 0 to x = 2. 
C)  Ex is negative from x = -2 to x = 0, and positive from x = 0 to x = 2. 
D)  Ex is negative from x = -2 to x = 2. 
A)  Ex is positive from x = -2 to x = 2. 
B)  Ex is positive from x = -2 to x = 0, and negative from x = 0 to x = 2. 
C)  Ex is negative from x = -2 to x = 0, and positive from x = 0 to x = 2. 
D)  Ex is negative from x = -2 to x = 2.

Question 6

An electron is released from rest at a distance of 9.00 cm from a proton.If the proton is held in place,how fast will the electron be moving when it is 3.00 cm from the proton?   ,   ,

Accepted Answer

A)  75.0 m/s 
B)  106 m/s 
C)  130 m/s 
D)  1.06 × 103 m/s 
E)  4.64 × 105 m/s 
A)  75.0 m/s 
B)  106 m/s 
C)  130 m/s 
D)  1.06 × 103 m/s 
E)  4.64 × 105 m/s

Question 7

A metallic sphere of radius 5 cm is charged such that the potential of its surface is 100 V (relative to infinity).Which of the following plots correctly shows the potential as a function of distance from the center of the sphere?

Accepted Answer

A)  plot W 
B)  plot X 
C)  plot Y 
D)  plot Z 
A)  plot W 
B)  plot X 
C)  plot Y 
D)  plot Z

Question 8

The graph in the figure shows the variation of the electric potential V (measured in volts)as a function of the radial direction r (measured in meters).For which range or value of r is the magnitude of the electric field the largest?

Accepted Answer

A)  from r = 0 m to r = 3 m 
B)  from r = 3 m to r = 4 m 
C)  from r = 4 m to r = 6 m 
D)  at r = 3 m 
E)  at r = 4 m 
A)  from r = 0 m to r = 3 m 
B)  from r = 3 m to r = 4 m 
C)  from r = 4 m to r = 6 m 
D)  at r = 3 m 
E)  at r = 4 m

Question 9

If the electric potential at a point in space is zero,then the electric field at that point must also be zero.

Accepted Answer

A) True 
 B)False

Question 10

Four equal +6.00-μC point charges are placed at the corners of a square 2.00 m on each side.   (a)What is the electric potential (relative to infinity)due to these charges at the center of this square?
(b)What is the magnitude of the electric field due to these charges at the center of the square?

Accepted Answer

The answer of Four equal +6.00-μC point charges are placed...

Question 11

A tiny object carrying a charge of +3.00 μC and a second tiny charged object are initially very far apart.If it takes   of work to bring them to a final configuration in which the   object i is at   ,y = 1.00 mm,and the other charged object is at   ,   ,find the magnitude of the charge on the second object.

Accepted Answer

A)  2.15 μC 
B)  4.30 μC 
C)  10.74 μC 
D)  4.30 nC 
A)  2.15 μC 
B)  4.30 μC 
C)  10.74 μC 
D)  4.30 nC

Question 12

Suppose you have two point charges of opposite sign.As you move them farther and farther apart,the potential energy of this system relative to infinity

Accepted Answer

A)  increases. 
B)  decreases. 
C)  stays the same. 
A)  increases. 
B)  decreases. 
C)  stays the same.

Question 13

A -7.0-μC point charge has a positively charged object in an elliptical orbit around it.If the mass of the positively charged object is 1.0 kg and the distance varies from 5.0 mm to 20.0 mm between the charges,what is the maximum electric potential difference through which the positive object moves?   =

Accepted Answer

A)  9.4 MV 
B)  3.2 MV 
C)  4.2 MV 
D)  16 MV 
A)  9.4 MV 
B)  3.2 MV 
C)  4.2 MV 
D)  16 MV

Question 14

If the electric potential in a region is given by V(x)= 6/x2,the x component of the electric field in that region is

Accepted Answer

A)  -12x-3. 
B)  -6x. 
C)  12x-3. 
D)  12x. 
E)  6x. 
A)  -12x-3. 
B)  -6x. 
C)  12x-3. 
D)  12x. 
E)  6x.

Question 15

A very small object carrying -6.0 μC of charge is attracted to a large,well-anchored,positively charged object.How much kinetic energy does the negatively charged object gain if the potential difference through which it moves is 3.0 mV?

Accepted Answer

A)  18 nJ 
B)  0.50 kJ 
C)  0.50 J 
D)  6.0 μJ 
A)  18 nJ 
B)  0.50 kJ 
C)  0.50 J 
D)  6.0 μJ

Question 16

In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y)= 2xy - x2 - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

Accepted Answer

A)  x = 0.5 m, y = 1 m 
B)  x = 1 m, y = 1 m 
C)  x = 1 m, y = 0.5 m 
D)  x = 0.5 m, y = 0.5 m 
E)  x = 0 m, y = 0 m 
A)  x = 0.5 m, y = 1 m 
B)  x = 1 m, y = 1 m 
C)  x = 1 m, y = 0.5 m 
D)  x = 0.5 m, y = 0.5 m 
E)  x = 0 m, y = 0 m

Question 17

Suppose a region of space has a uniform electric field,directed towards the right,as shown in the figure.Which statement about the electric potential is true?

Accepted Answer

A)  The potential at all three locations (A, B,
C)  is the same because the field is uniform. 
B)  The potential at points A and B are equal, and the potential at point C is higher than the potential at point A. 
C)  The potential at points A and B are equal, and the potential at point C is lower than the potential at point A. 
D)  The potential at point A is the highest, the potential at point B is the second highest, and the potential at point C is the lowest. 
A)  The potential at all three locations (A, B,
C)  is the same because the field is uniform. 
B)  The potential at points A and B are equal, and the potential at point C is higher than the potential at point A. 
C)  The potential at points A and B are equal, and the potential at point C is lower than the potential at point A. 
D)  The potential at point A is the highest, the potential at point B is the second highest, and the potential at point C is the lowest.

Question 18

Two point charges,Q and -3Q,are located on the x-axis a distance d apart,with -3Q to the right of Q.Find the location of ALL the points on the x-axis (not counting infinity)at which the potential (relative to infinity)due to this pair of charges is equal to zero.

Accepted Answer

D/4 TO THE RIGHT OF

Question 19

Two positive point charges +4.00 μC and +2.00 μC are placed at the opposite corners of a rectangle as shown in the figure.(k = 1/4πε0 = 8.99 × 109 N • m2/C2)   (a)What is the potential at point A (relative to infinity)due to these charges?
(b)What is the potential at point B (relative to infinity)due to these charges?

Accepted Answer

(a)+8.99 ×

Question 20

If an electron is accelerated from rest through a potential difference of 9.9 kV,what is its resulting speed?   ,   =   ,

Accepted Answer

A)  5.9 × 107 m/s 
B)  4.9 × 107 m/s 
C)  3.9 × 107 m/s 
D)  2.9 × 107 m/s 
A)  5.9 × 107 m/s 
B)  4.9 × 107 m/s 
C)  3.9 × 107 m/s 
D)  2.9 × 107 m/s

Exam 23: Electric Potential

A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference,VA - VB,between points A and B?

Three point charges of -2.00 μC,+4.00 μC,and +6.00 μC are placed along the x-axis as shown in the figure.What is the electrical potential at point P (relative to infinity)due to these charges? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity).If the sphere's radius were twice as large,but the charge on the sphere were the same,what would be the potential on the surface relative to infinity?

The graph in the figure shows the variation of the electric potential V(x)(in arbitrary units)as a function of the position x (also in arbitrary units).Which of the choices below correctly describes the orientation of the x-component of the electric field along the x-axis?

An electron is released from rest at a distance of 9.00 cm from a proton.If the proton is held in place,how fast will the electron be moving when it is 3.00 cm from the proton? , ,

A metallic sphere of radius 5 cm is charged such that the potential of its surface is 100 V (relative to infinity).Which of the following plots correctly shows the potential as a function of distance from the center of the sphere?

The graph in the figure shows the variation of the electric potential V (measured in volts)as a function of the radial direction r (measured in meters).For which range or value of r is the magnitude of the electric field the largest?

If the electric potential at a point in space is zero,then the electric field at that point must also be zero.

Four equal +6.00-μC point charges are placed at the corners of a square 2.00 m on each side. (a)What is the electric potential (relative to infinity)due to these charges at the center of this square? (b)What is the magnitude of the electric field due to these charges at the center of the square?

A tiny object carrying a charge of +3.00 μC and a second tiny charged object are initially very far apart.If it takes of work to bring them to a final configuration in which the object i is at ,y = 1.00 mm,and the other charged object is at , ,find the magnitude of the charge on the second object.

Suppose you have two point charges of opposite sign.As you move them farther and farther apart,the potential energy of this system relative to infinity

If the electric potential in a region is given by V(x)= 6/x2,the x component of the electric field in that region is

A very small object carrying -6.0 μC of charge is attracted to a large,well-anchored,positively charged object.How much kinetic energy does the negatively charged object gain if the potential difference through which it moves is 3.0 mV?

In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y)= 2xy - x2 - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?

Suppose a region of space has a uniform electric field,directed towards the right,as shown in the figure.Which statement about the electric potential is true?

Two point charges,Q and -3Q,are located on the x-axis a distance d apart,with -3Q to the right of Q.Find the location of ALL the points on the x-axis (not counting infinity)at which the potential (relative to infinity)due to this pair of charges is equal to zero.

If an electron is accelerated from rest through a potential difference of 9.9 kV,what is its resulting speed? , = ,

Units,physical Quantities,and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum,impulse,and Collisions

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Capacitance and Dielectrics

Current,resistance,and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference,V_A - V_B,between points A and B?

Three point charges of -2.00 μC,+4.00 μC,and +6.00 μC are placed along the x-axis as shown in the figure.What is the electrical potential at point P (relative to infinity)due to these charges? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

If the electric potential in a region is given by V(x)= 6/x²,the x component of the electric field in that region is

In a certain region,the electric potential due to a charge distribution is given by the equation V(x,y)= 2xy - x² - y,where x and y are measured in meters and V is in volts.At which point is the electric field equal to zero?