Question 1

Two capacitors with CA greater than CB are connected in parallel with a battery.Which of the following is true?

Accepted Answer

A)  There is more potential difference across CA. 
B)  There is more potential difference across CB. 
C)  There is the same charge stored on each capacitor. 
D)  There is the same potential difference across both capacitors. 
A)  There is more potential difference across CA. 
B)  There is more potential difference across CB. 
C)  There is the same charge stored on each capacitor. 
D)  There is the same potential difference across both capacitors. D

Question 2

An electron (charge −1.6 × 10−19 C)moves on a path perpendicular to the direction of a uniform electric field of strength 2.3 N/C.How much work is done on the electron as it moves 20 cm?

Accepted Answer

A)  105.8 × 10−20 J 
B)  −46 × 10−20 J 
C)  22.3 × 10−20 J 
D)  920​ × 10−20 J 
E)  ​zero 
A)  105.8 × 10−20 J 
B)  −46 × 10−20 J 
C)  22.3 × 10−20 J 
D)  920​ × 10−20 J 
E)  ​zero E

Question 3

A pair of parallel plates,forming a capacitor,are charged.The plates are pulled apart to triple the original separation,the charges on the plates remaining the same.What is the ratio of the final energy stored to the original energy stored?

Accepted Answer

A)  9 
B)  3 
C)  1 
D)  1/3 
E)  ​1/9 
A)  9 
B)  3 
C)  1 
D)  1/3 
E)  ​1/9 B

Question 4

An electron and a proton are each released from rest in the same uniform electric field.The electron moves a distance delectron and the proton moves a distance dproton as each particle's kinetic energy increases by 1.6 eV.How do delectron and dproton compare?

Accepted Answer

A)  delectron proton 
B)  delectron > dproton 
C)  delectron = dproton 
D)  The answer depends on the direction of the electric field. 
A)  delectron proton 
B)  delectron > dproton 
C)  delectron = dproton 
D)  The answer depends on the direction of the electric field.

Question 5

Consider two charged spheres,one with charge +2 C and the other with −2 C.A proton (a positively charged particle)is at the point halfway between the spheres.What is not zero?

Accepted Answer

A)  the potential energy of the proton 
B)  the work to move the proton from infinity to that point 
C)  the force on the proton 
D)  all of the three above are zero 
A)  the potential energy of the proton 
B)  the work to move the proton from infinity to that point 
C)  the force on the proton 
D)  all of the three above are zero

Question 6

A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 2.00-mm-thick piece of a dielectric called Rutile (κ = 100)in between them.What is the capacitance? (ε0 = 8.85 × 10−12 C2/N⋅m2)

Accepted Answer

A)  177 pF 
B)  17.7 nF 
C)  8.85 µF 
D)  8.9 pF 
E)  0.9 nF 
A)  177 pF 
B)  17.7 nF 
C)  8.85 µF 
D)  8.9 pF 
E)  0.9 nF

Question 7

Three capacitors have capacitances C1 2 3.If these capacitors are connected in series,which of the following is true for the resulting equivalent capacitance?

Accepted Answer

A)  Ceq 1 
B)  Ceq > C3 
C)  Ceq = (C1 + C2 + C3)/3 
D)  None of the above is always correct. 
A)  Ceq 1 
B)  Ceq > C3 
C)  Ceq = (C1 + C2 + C3)/3 
D)  None of the above is always correct.

Question 8

At which location will the electric field between the two parallel plates of a charged capacitor be the strongest in magnitude?

Accepted Answer

A)  near the positive plate 
B)  near the negative plate 
C)  midway between the two plates at their ends 
D)  midway between the two plates nearest their center 
A)  near the positive plate 
B)  near the negative plate 
C)  midway between the two plates at their ends 
D)  midway between the two plates nearest their center

Question 9

A proton (+1.6 × 10−19 C)moves 20 cm along the direction of an electric field of strength 2.5 N/C.The electrical potential difference between the proton's initial and ending points is:

Accepted Answer

A)  5 × 10−19 V. 
B)  0.5 V. 
C)  26.25 V. 
D)  1 V. 
E)  ​zero 
A)  5 × 10−19 V. 
B)  0.5 V. 
C)  26.25 V. 
D)  1 V. 
E)  ​zero

Question 10

Increasing the separation of the two charged parallel plates of a capacitor,which are disconnected from a battery,will produce what effect on the capacitor?

Accepted Answer

A)  increase charge 
B)  decrease charge 
C)  increase capacitance 
D)  decrease capacitance 
A)  increase charge 
B)  decrease charge 
C)  increase capacitance 
D)  decrease capacitance

Question 11

A capacitor is attached across a battery and charged.Then the battery is removed leaving the capacitor charged.The positive lead of the capacitor is then connected to one lead of a previously uncharged identical capacitor,and then the other lead of the charged capacitor is connected to the other lead of the second capacitor.How does the energy Eo stored in the originally charged capacitor compare to the energy Ef stored in the connected capacitors?

Accepted Answer

A)  Eo f 
B)  Eo = Ef 
C)  Eo = 2Ef 
D)  Eo = 4Ef 
A)  Eo f 
B)  Eo = Ef 
C)  Eo = 2Ef 
D)  Eo = 4Ef

Question 12

A uniform electric field,with a magnitude of 500 N/C,is directed parallel to the positive x-axis.If the potential at x = 3.0 m is 1,800 V,what is the change in potential energy of a proton as it moves from x = 4 m to x = 3 m? (qp = 1.6 × 10−19 C)

Accepted Answer

A)  0.8 × 10−17 J 
B)  2.88 × 10−16 J 
C)  2.88 × 10−21 J 
D)  500 J 
E)  3.08 × 10−16 J 
A)  0.8 × 10−17 J 
B)  2.88 × 10−16 J 
C)  2.88 × 10−21 J 
D)  500 J 
E)  3.08 × 10−16 J

Question 13

An electron with velocity v = 5.0 × 106 m/s is sent between the plates of a capacitor where the electric field is E = 500 V/m.If the distance the electron travels through the field is 1.0 cm,how far is it deviated (Y)in its path when it emerges from the electric field? (me = 9.1 × 10−31 kg,e = 1.6 × 10−19 C)

Accepted Answer

A)  0.5 mm 
B)  0.2 mm 
C)  0.2 cm 
D)  0.5 cm 
E)  ​0.6 mm 
A)  0.5 mm 
B)  0.2 mm 
C)  0.2 cm 
D)  0.5 cm 
E)  ​0.6 mm

Question 14

The dielectric strength of Rutile is 6.0 × 106 V/m,which corresponds to the maximum electric field that the dielectric can sustain before breakdown.What is the maximum charge that a 10−10-F capacitor with a 1.16-mm thickness of Rutile can hold?

Accepted Answer

A)  1.8 nC 
B)  0.7 µC 
C)  0.3 mC 
D)  6.96 C 
E)  ​60 nC 
A)  1.8 nC 
B)  0.7 µC 
C)  0.3 mC 
D)  6.96 C 
E)  ​60 nC

Question 15

A 10.0-V battery moves 16 mC of charge through a circuit running from its positive terminal to its negative terminal.How much energy was delivered to the circuit?

Accepted Answer

A)  0.6 mJ 
B)  2.2 J 
C)  1.6 J 
D)  2.2 × 103 J 
E)  ​0.6 J 
A)  0.6 mJ 
B)  2.2 J 
C)  1.6 J 
D)  2.2 × 103 J 
E)  ​0.6 J

Question 16

Find the electrical potential at 0.5 m from a point charge of 4 μC.(ke = 8.99 × 109 N⋅m2/C2)

Accepted Answer

A)  1.2 × 104 V 
B)  0.7 × 105 V 
C)  1.1 × 106 V 
D)  1.1 × 107 V 
E)  ​1.2 × 105 V 
A)  1.2 × 104 V 
B)  0.7 × 105 V 
C)  1.1 × 106 V 
D)  1.1 × 107 V 
E)  ​1.2 × 105 V

Question 17

A point charge of +2.9 μC is located at the origin of a coordinate system and a second point charge of −5.9 μC is at x = 1.0 m.At what point on the x axis is the electrical potential zero?

Accepted Answer

A)  +0.73 m 
B)  +2.97 m 
C)  +0.33 m 
D)  +25.52 m 
E)  ​+0.67 m 
A)  +0.73 m 
B)  +2.97 m 
C)  +0.33 m 
D)  +25.52 m 
E)  ​+0.67 m

Question 18

When charges qa,qb,and qc are placed respectively at the corners a,b,and c of a right triangle,the potential at the midpoint of the hypotenuse is 22 V.When the charge qa is removed,the potential at the midpoint becomes 15 V.When,instead,the charge qb is removed (qa and qc both in place),the potential at the midpoint becomes 13 V.What is the potential at the midpoint if both charges qa and qc are removed?

Accepted Answer

A)  9 V 
B)  7 V 
C)  6 V 
D)  16 V 
E)  ​15 V 
A)  9 V 
B)  7 V 
C)  6 V 
D)  16 V 
E)  ​15 V

Question 19

Two capacitors with capacitances of 2 and 4.5 μF,respectively,are connected in series.The system is connected to a 45-V battery.What charge accumulates on the 2-μF capacitor?

Accepted Answer

A)  293 μC 
B)  33 μC 
C)  2804 μC 
D)  62 μC 
E)  405​ μC 
A)  293 μC 
B)  33 μC 
C)  2804 μC 
D)  62 μC 
E)  405​ μC

Question 20

Case 1: An electron is released from rest in a uniform electric field.Case 2: A proton is released from rest in a uniform electric field of the same magnitude as in case 1.How does the electric potential energy of the charge-field system behave in these cases?

Accepted Answer

A)  In both cases,the potential energy increases. 
B)  In both cases,the potential energy decreases. 
C)  In case 1 the potential energy increases,but in case 2 it decreases. 
D)  In case 1 the potential energy decreases,but in case 2 it increases. 
A)  In both cases,the potential energy increases. 
B)  In both cases,the potential energy decreases. 
C)  In case 1 the potential energy increases,but in case 2 it decreases. 
D)  In case 1 the potential energy decreases,but in case 2 it increases.

Exam 16: Electrical Energy and Capacitance

Two capacitors with CA greater than CB are connected in parallel with a battery.Which of the following is true?

An electron (charge −1.6 × 10−19 C)moves on a path perpendicular to the direction of a uniform electric field of strength 2.3 N/C.How much work is done on the electron as it moves 20 cm?

A pair of parallel plates,forming a capacitor,are charged.The plates are pulled apart to triple the original separation,the charges on the plates remaining the same.What is the ratio of the final energy stored to the original energy stored?

An electron and a proton are each released from rest in the same uniform electric field.The electron moves a distance delectron and the proton moves a distance dproton as each particle's kinetic energy increases by 1.6 eV.How do delectron and dproton compare?

Consider two charged spheres,one with charge +2 C and the other with −2 C.A proton (a positively charged particle)is at the point halfway between the spheres.What is not zero?

A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 2.00-mm-thick piece of a dielectric called Rutile (κ = 100)in between them.What is the capacitance? (ε0 = 8.85 × 10−12 C2/N⋅m2)

Three capacitors have capacitances C1 < C2 < C3.If these capacitors are connected in series,which of the following is true for the resulting equivalent capacitance?

At which location will the electric field between the two parallel plates of a charged capacitor be the strongest in magnitude?

A proton (+1.6 × 10−19 C)moves 20 cm along the direction of an electric field of strength 2.5 N/C.The electrical potential difference between the proton's initial and ending points is:

Increasing the separation of the two charged parallel plates of a capacitor,which are disconnected from a battery,will produce what effect on the capacitor?

A uniform electric field,with a magnitude of 500 N/C,is directed parallel to the positive x-axis.If the potential at x = 3.0 m is 1,800 V,what is the change in potential energy of a proton as it moves from x = 4 m to x = 3 m? (qp = 1.6 × 10−19 C)

The dielectric strength of Rutile is 6.0 × 106 V/m,which corresponds to the maximum electric field that the dielectric can sustain before breakdown.What is the maximum charge that a 10−10-F capacitor with a 1.16-mm thickness of Rutile can hold?

A 10.0-V battery moves 16 mC of charge through a circuit running from its positive terminal to its negative terminal.How much energy was delivered to the circuit?

Find the electrical potential at 0.5 m from a point charge of 4 μC.(ke = 8.99 × 109 N⋅m2/C2)

A point charge of +2.9 μC is located at the origin of a coordinate system and a second point charge of −5.9 μC is at x = 1.0 m.At what point on the x axis is the electrical potential zero?

Two capacitors with capacitances of 2 and 4.5 μF,respectively,are connected in series.The system is connected to a 45-V battery.What charge accumulates on the 2-μF capacitor?

Case 1: An electron is released from rest in a uniform electric field.Case 2: A proton is released from rest in a uniform electric field of the same magnitude as in case 1.How does the electric potential energy of the charge-field system behave in these cases?

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics

Rotational Equilibrium and Rotational Dynamics: Part A

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Direct-Current Circuits Sources of EMF: Part A

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

Filters

Two capacitors with C_A greater than C_B are connected in parallel with a battery.Which of the following is true?

An electron (charge −1.6 × 10−¹⁹ C)moves on a path perpendicular to the direction of a uniform electric field of strength 2.3 N/C.How much work is done on the electron as it moves 20 cm?

An electron and a proton are each released from rest in the same uniform electric field.The electron moves a distance d_electron and the proton moves a distance d_proton as each particle's kinetic energy increases by 1.6 eV.How do d_electron and d_proton compare?

A "sandwich" is constructed of two flat pieces of metal (2.00 cm on a side)with a 2.00-mm-thick piece of a dielectric called Rutile (κ = 100)in between them.What is the capacitance? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

Three capacitors have capacitances C₁ < C₂ < C₃.If these capacitors are connected in series,which of the following is true for the resulting equivalent capacitance?

A proton (+1.6 × 10−¹⁹ C)moves 20 cm along the direction of an electric field of strength 2.5 N/C.The electrical potential difference between the proton's initial and ending points is:

A uniform electric field,with a magnitude of 500 N/C,is directed parallel to the positive x-axis.If the potential at x = 3.0 m is 1,800 V,what is the change in potential energy of a proton as it moves from x = 4 m to x = 3 m? (q_p = 1.6 × 10−¹⁹ C)

The dielectric strength of Rutile is 6.0 × 10⁶ V/m,which corresponds to the maximum electric field that the dielectric can sustain before breakdown.What is the maximum charge that a 10−¹⁰-F capacitor with a 1.16-mm thickness of Rutile can hold?

Find the electrical potential at 0.5 m from a point charge of 4 μC.(k_e = 8.99 × 10⁹ N⋅m²/C²)