Question 1

A particle with a charge of +4.0 μC has a mass of 5.0 g.What magnitude $\vec { E }$ field directed upward will exactly balance the force that Earth exerts on the particle?

Accepted Answer

A) 4.1 × 104 N/C 
B) 8.2 × 104 N/C 
C) 4.4 × 104 N/C 
D) 1.2 × 104 N/C 
E) 5.1 × 104 N/C 
A) 4.1 × 104 N/C 
B) 8.2 × 104 N/C 
C) 4.4 × 104 N/C 
D) 1.2 × 104 N/C 
E) 5.1 × 104 N/C

Question 2

What charge accumulates on the plates of a 2.0-μF air-filled capacitor when it is charged until the potential difference across its plates is 100 V?

Accepted Answer

A) 50 μC 
B) 100 μC 
C) 150 μC 
D) 200 μC 
A) 50 μC 
B) 100 μC 
C) 150 μC 
D) 200 μC

Question 3

A 4.0-g bead carries a charge of 20 μC.The bead is accelerated from rest through a potential difference V,and afterward the bead is moving at 2.0 m/s.What is the magnitude of the potential difference V?

Accepted Answer

A) 800 kV 
B) 400 kV 
C) 800 V 
D) 400 V 
E) 200 V 
A) 800 kV 
B) 400 kV 
C) 800 V 
D) 400 V 
E) 200 V

Question 4

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

Accepted Answer

A) -307 kV 
B) +307 k V 
C) -154 kV 
D) +154 kV 
E) 0.00 kV 
A) -307 kV 
B) +307 k V 
C) -154 kV 
D) +154 kV 
E) 0.00 kV

Question 5

An ideal parallel-plate capacitor having circular plates of diameter D that are a distance d apart stores energy U when it is connected across a fixed potential difference.If you want to triple the amount of energy stored in this capacitor by changing only the size of its plates,the diameter should be changed to

Accepted Answer

A) 9D. 
B) 3D. 
C) D $\sqrt { 3 }$ 
D)  $\frac { \mathrm { D } } { \sqrt { 3 } }$ 
E)  $\frac { D } { 3 }$ 
A) 9D. 
B) 3D. 
C) D $\sqrt { 3 }$ 
D)  $\frac { \mathrm { D } } { \sqrt { 3 } }$ 
E)  $\frac { D } { 3 }$

Question 6

When a certain capacitor carries charges of ±10 µC on its plates,the potential difference cross the plates is 25 V.Which of the following statements about this capacitor are true? (There could be more than one correct choice.)

Accepted Answer

A) If we double the charges on the plates to ±20 µC, the capacitance of the capacitor will also double. 
B) If we double the charges on the plates to ±20 µC, the potential difference across the plates will also double. 
C) If we double the charges on the plates to ±20 µC, the capacitance of the capacitor will not change. 
D) If we double the charges on the plates to ±20 µC, the potential difference across the plates will decrease by a factor of two. 
A) If we double the charges on the plates to ±20 µC, the capacitance of the capacitor will also double. 
B) If we double the charges on the plates to ±20 µC, the potential difference across the plates will also double. 
C) If we double the charges on the plates to ±20 µC, the capacitance of the capacitor will not change. 
D) If we double the charges on the plates to ±20 µC, the potential difference across the plates will decrease by a factor of two.

Question 7

An electric dipole consists of charges of ±6.00 µC that are 10.0 cm apart,as shown in the figure.Find the magnitude and direction of the $\vec { E }$ field this dipole produces at point P,which is 7.00 cm from each charge.(k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

1.57 × 10⁷ N/C,to the

Question 8

A battery maintains the electrical potential difference of 6.0-V between two large parallel metal plates separated by 1.0 mm.What is the magnitude of the $\vec { E }$ field between the plates?

Accepted Answer

A) 6.0 V/m 
B) 600 V/m 
C) 6000 V/m 
D) zero 
A) 6.0 V/m 
B) 600 V/m 
C) 6000 V/m 
D) zero

Question 9

Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010 $m ^ { 2 }$ ,and the separation of the plates is $0.050 \mathrm {~mm}$ An $\vec { E }$ field of $7.4 \times 10^6 \mathrm {~V} / \mathrm { m }$ is present between the plates.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A) 180 pF 
B) 120 pF 
C) 300 pF 
D) 240 pF 
E) 360 pF 
A) 180 pF 
B) 120 pF 
C) 300 pF 
D) 240 pF 
E) 360 pF

Question 10

A thin spherical copper shell of radius 9.5 cm carries an excess charge of -4.2 nC.How many excess electrons are on (a)the outer surface of the shell,and (b)the inner surface? (e = 1.60 × 10-19C)

Accepted Answer

(a)2.60 ×

Question 11

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart.What happens to the magnitude of the $\vec { E }$ field between the plates during this process?

Accepted Answer

A) It increases. 
B) It decreases. 
C) It remains constant. 
D) It cannot be determined from the information given. 
A) It increases. 
B) It decreases. 
C) It remains constant. 
D) It cannot be determined from the information given.

Question 12

A 12.6-µF isolated capacitor is constructed with Teflon,having a dielectric constant of 2.1,between the plates.The capacitor is initially charged to 1.5 volts,and then the Teflon is removed.
(a)How much excess charge was originally stored on the plates of the capacitor?
(b)After removing the Teflon,what is the potential difference across the capacitor plates?

Accepted Answer

The answer of A 12.6-µF isolated capacitor is constructed with...

Question 13

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10-19 C.

Accepted Answer

A) 1836 eV 
B) 1.00 eV 
C) 1.60 × 10-19 eV 
D) 1.00 J 
E) 1836 J 
A) 1836 eV 
B) 1.00 eV 
C) 1.60 × 10-19 eV 
D) 1.00 J 
E) 1836 J

Question 14

The potential difference between the plates of an ideal air-filled parallel-plate capacitor with a plate separation of 6.0 cm is 60 V.What is the magnitude of the $\vec { E }$ field between the plates of this capacitor?

Accepted Answer

A) 60 V/m 
B) 500 V/m 
C) 1000 V/m 
D) 2000 V/m 
E) 3600 V/m 
A) 60 V/m 
B) 500 V/m 
C) 1000 V/m 
D) 2000 V/m 
E) 3600 V/m

Question 15

The equipotential surfaces for two point charges are shown in the figure,with the value of potential marked on the line for each surface.
(a)What is the potential difference,VG - VD,between points G and D?
(b)What is the potential difference,VA - VG,between points A and G?

Accepted Answer

Question 16

An air-filled capacitor carries enough charge to store $6.00 \mathrm {~m} ]$ of potential energy.It is then accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? The dielectric constant for water is 78 and for air it is 1.0006.

Accepted Answer

A) 0.077 mJ 
B) 468 mJ 
C) 0.04 mJ 
D) 6.00 mJ 
A) 0.077 mJ 
B) 468 mJ 
C) 0.04 mJ 
D) 6.00 mJ

Question 17

If a Cu2+ ion that is initially at rest accelerates through a potential difference of 12 V without friction,how much kinetic energy will it gain? (e = 1.60 × 10-19 C)

Accepted Answer

A) 3.0 eV. 
B) 6.0 eV. 
C) 12 eV. 
D) 24 eV. 
A) 3.0 eV. 
B) 6.0 eV. 
C) 12 eV. 
D) 24 eV.

Question 18

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

Accepted Answer

A) 8.99 kV 
B) 11.2 kV 
C) 89.9 kV 
D) 899 kV 
E) 112 kV 
A) 8.99 kV 
B) 11.2 kV 
C) 89.9 kV 
D) 899 kV 
E) 112 kV

Question 19

A uniform $\vec { E }$ field,with a magnitude of 500 V/m,is points in the +x direction.If the potential at x = 5.0 m is 2500 V,what is the potential at x = 2.0 m?

Accepted Answer

A) 0.50 kV 
B) 1.0 kV 
C) 2.0 kV 
D) 4.0 kV 
E) 5.0 kV 
A) 0.50 kV 
B) 1.0 kV 
C) 2.0 kV 
D) 4.0 kV 
E) 5.0 kV

Question 20

Two +6.0-µC charges are placed at two of the vertices of an equilateral triangle having sides 2.0 m long.What is the electric potential at the third vertex,relative to infinity,due to these charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 54 kV 
B) 108 V 
C) 0 V 
D) 90 kV 
E) 27 kV 
A) 54 kV 
B) 108 V 
C) 0 V 
D) 90 kV 
E) 27 kV

Exam 16: The Electric Field

A particle with a charge of +4.0 μC has a mass of 5.0 g.What magnitude E⃗\vec { E }E field directed upward will exactly balance the force that Earth exerts on the particle?

What charge accumulates on the plates of a 2.0-μF air-filled capacitor when it is charged until the potential difference across its plates is 100 V?

A 4.0-g bead carries a charge of 20 μC.The bead is accelerated from rest through a potential difference V,and afterward the bead is moving at 2.0 m/s.What is the magnitude of the potential difference V?

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

When a certain capacitor carries charges of ±10 µC on its plates,the potential difference cross the plates is 25 V.Which of the following statements about this capacitor are true? (There could be more than one correct choice.)

An electric dipole consists of charges of ±6.00 µC that are 10.0 cm apart,as shown in the figure.Find the magnitude and direction of the E⃗\vec { E }E field this dipole produces at point P,which is 7.00 cm from each charge.(k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

A battery maintains the electrical potential difference of 6.0-V between two large parallel metal plates separated by 1.0 mm.What is the magnitude of the E⃗\vec { E }E field between the plates?

A thin spherical copper shell of radius 9.5 cm carries an excess charge of -4.2 nC.How many excess electrons are on (a)the outer surface of the shell,and (b)the inner surface? (e = 1.60 × 10-19C)

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart.What happens to the magnitude of the E⃗\vec { E }E field between the plates during this process?

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10-19 C.

The potential difference between the plates of an ideal air-filled parallel-plate capacitor with a plate separation of 6.0 cm is 60 V.What is the magnitude of the E⃗\vec { E }E field between the plates of this capacitor?

The equipotential surfaces for two point charges are shown in the figure,with the value of potential marked on the line for each surface. (a)What is the potential difference,VG - VD,between points G and D? (b)What is the potential difference,VA - VG,between points A and G?

If a Cu2+ ion that is initially at rest accelerates through a potential difference of 12 V without friction,how much kinetic energy will it gain? (e = 1.60 × 10-19 C)

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

A uniform E⃗\vec { E }E field,with a magnitude of 500 V/m,is points in the +x direction.If the potential at x = 5.0 m is 2500 V,what is the potential at x = 2.0 m?

Two +6.0-µC charges are placed at two of the vertices of an equilateral triangle having sides 2.0 m long.What is the electric potential at the third vertex,relative to infinity,due to these charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

A particle with a charge of +4.0 μC has a mass of 5.0 g.What magnitude $\vec { E }$ field directed upward will exactly balance the force that Earth exerts on the particle?

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

A battery maintains the electrical potential difference of 6.0-V between two large parallel metal plates separated by 1.0 mm.What is the magnitude of the $\vec { E }$ field between the plates?

A thin spherical copper shell of radius 9.5 cm carries an excess charge of -4.2 nC.How many excess electrons are on (a)the outer surface of the shell,and (b)the inner surface? (e = 1.60 × 10^-19C)

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart.What happens to the magnitude of the $\vec { E }$ field between the plates during this process?

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10^-19 C.

The potential difference between the plates of an ideal air-filled parallel-plate capacitor with a plate separation of 6.0 cm is 60 V.What is the magnitude of the $\vec { E }$ field between the plates of this capacitor?

The equipotential surfaces for two point charges are shown in the figure,with the value of potential marked on the line for each surface. (a)What is the potential difference,V_G - V_D,between points G and D? (b)What is the potential difference,V_A - V_G,between points A and G?

If a Cu²⁺ ion that is initially at rest accelerates through a potential difference of 12 V without friction,how much kinetic energy will it gain? (e = 1.60 × 10^-19C)

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

A uniform $\vec { E }$ field,with a magnitude of 500 V/m,is points in the +x direction.If the potential at x = 5.0 m is 2500 V,what is the potential at x = 2.0 m?

Two +6.0-µC charges are placed at two of the vertices of an equilateral triangle having sides 2.0 m long.What is the electric potential at the third vertex,relative to infinity,due to these charges? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)