Question 1

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side. What is the electric potential of these charges, relative to infinity, at the center of this square? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

A)   76.4 kV
B)   38.2 kV
C)   306 kV
D)   153 kV
E)   61.0 kVF) B) and D)
G) B) and E)

Question 2

The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity. What is the potential (relative to infinity)  at a distance of 2 m from the same charge?

Accepted Answer

A)   200 V
B)   50 V
C)   400 V
D)   100 V
E)   600 VF) B) and E)
G) A) and E)

Question 3

A 15-μF capacitor is connected to a 50-V battery and becomes fully charged. The battery is removed and a slab of dielectric, having a dielectric constant of 5.0, is inserted between the plates and completely fills the space between them.
(a) What is the capacitance of the capacitor after the slab is inserted?
(b) What is the potential difference across the capacitor with the dielectric inserted.

Accepted Answer

The answer of A 15-μF capacitor is connected to a...

Question 4

A proton with a speed of 2.0 x  10510^5105  m/s accelerates through a potential difference and thereby increases its speed to 4.0 x  10510^5105  m/s. Through what magnitude potential difference did the proton accelerate? 
(e = 1.60 × 10-19 C , mproton = 1.67 × 10-27 kg)

Accepted Answer

A)   630 V
B)   210 V
C)   840 V
D)   1000 V
E)   100 V F) C) and E)
G) B) and D)

Question 5

Which of the following will increase the capacitance of a parallel-plate capacitor? (There could be more than one correct choice.)

Accepted Answer

A)   a decrease in the plate area and an increase in the plate separation
B)   a decrease in the potential difference between the plates
C)   an increase in the potential difference between the plates
D)   an increase in the plate area and a decrease in the plate separation
E)   an increase in the charge on the platesF) A) and C)
G) B) and C)

Question 6

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 strength of the electric 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/mF) A) and B)
G) A) and E)

Question 7

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 μCE) A) and B)
F) A) and C)

Question 8

As a proton moves in a direction perpendicular to the electric field lines

Accepted Answer

A)   it is moving from low potential to high potential and gaining electric potential energy.
B)   it is moving from low potential to high potential and losing electric potential energy.
C)   it is moving from high potential to low potential and gaining electric potential energy.
D)   it is moving from high potential to low potential and losing electric potential energy.
E)   both its electric potential and electric potential energy remain constant.F) A) and D)
G) B) and D)

Question 9

An air-filled capacitor has a potential difference between the plates of 80 V. If the charge on each of the plates of the capacitor has magnitude 8.0 μC, what is the electrical energy stored by this capacitor?

Accepted Answer

A)   640 µJ
B)   320 µJ
C)   50 nJ
D)   60 nJ
E)   30 pJF) All of the above
G) C) and D)

Question 10

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V. What speed does the proton gain? 
(e = 1.60 × 10-19 C , mproton = 1.67 × 10-27 kg)

Accepted Answer

A)   2.2 × 105 m/s
B)   3.1 × 105 m/s
C)   9.6 × 105 m/s
D)   1.1 × 105 m/sE) A) and D)
F) All of the above

Question 11

Consider a uniform horizontal electric field of 50 N/C directed toward the east. If the electric potential at a given point in the field is 80 V, what is the potential at a point 1.0 m directly east of the point?

Accepted Answer

A)   15 V
B)   30 V
C)   90 V
D)   130 VE) None of the above
F) C) and D)

Question 12

Two protons are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move apart? (There could be more than one correct choice.)

Accepted Answer

A)   Their electric potential energy keeps increasing.
B)   Their kinetic energy keeps increasing.
C)   Their electric potential energy keeps decreasing.
D)   Their kinetic energy keeps decreasing.
E)   Their acceleration keeps decreasing.F) B) and C)
G) None of the above

Question 13

Two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting. Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice.)

Accepted Answer

A)   Their electric potential energy keeps increasing.
B)   Their kinetic energy keeps increasing.
C)   Their electric potential energy keeps decreasing.
D)   Their kinetic energy keeps decreasing.
E)   Their acceleration keeps decreasing.F) B) and D)
G) A) and D)

Question 14

Two 5.0-µC point charges are 12 cm apart. What is the electric potential (relative to infinity)  of this combination at the point where the electric field due to these charges is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A)   0.75 MV
B)   1.5 MV
C)   0.0 MV
D)   25 MV
E)   12.5 MVF) B) and C)
G) C) and E)

Question 15

An ideal parallel-plate capacitor consists of two parallel plates of area A separated by a distance d. This capacitor is connected across a battery that maintains a constant potential difference between the plates. If the separation between the plates is now doubled, the magnitude of the charge on the plates will

Accepted Answer

A)   double.
B)   quadruple.
C)   be cut in half.
D)   be cut in fourth.
E)   not change.F) All of the above
G) A) and D)

Question 16

Two very large parallel metal plates, separated by 0.20 m, are connected across a 12-V source of potential. An electron is released from rest at a location 0.10 m from the negative plate. When the electron arrives at a distance 0.050 m from the positive plate, how much kinetic energy has the electron gained? (e = 1.60 × 10-19 C)

Accepted Answer

A)   2.4 × 10-19 J
B)   4.8 × 10-19 J
C)   7.2 × 10-19 J
D)   9.6 × 10-19 JE) B) and C)
F) A) and D)

Question 17

As an electron moves in the direction the electric field lines

Accepted Answer

A)   it is moving from low potential to high potential and gaining electric potential energy.
B)   it is moving from low potential to high potential and losing electric potential energy.
C)   it is moving from high potential to low potential and gaining electric potential energy.
D)   it is moving from high potential to low potential and losing electric potential energy.
E)   both its electric potential and electric potential energy remain constant.F) A) and D)
G) D) and E)

Question 18

A parallel-plate capacitor consists of a set of two parallel plates of area A separated by a distance d. This capacitor is connected to a battery that maintains a constant potential difference across the plates. A slab of a dielectric material is inserted in the region between the plates and completely fills it. What changes would you observe as the dielectric is inserted? (There could be more than one correct choice.)

Accepted Answer

A)   Only the charge on the plates of the capacitor would change.
B)   Only the capacitance would change.
C)   Both the charge on the plates of the capacitor and its capacitance would change.
D)   The potential difference across the plates would increase.
E)   Nothing would change.F) A) and B)
G) C) and E)

Question 19

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California. How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

Question 20

A square is 1.0 m on a side. Point charges of +4.0 μC are placed in two diagonally opposite corners. In the other two corners are placed charges of +3.0 μC and -3.0 μC. What is the potential (relative to infinity)  at the midpoint of the square? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A)   1.0 × 104 V
B)   1.0 × 105 V
C)   1.0 × 106 V
D)   0 V
E)   infiniteF) B) and D)
G) A) and E)

Exam 21: Electric Potential

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V. What speed does the proton gain? (e = 1.60 × 10^-19C , m_proton = 1.67 × 10^-27 kg)

Correct Answer
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Correct Answer
verified

Consider a uniform horizontal electric field of 50 N/C directed toward the east. If the electric potential at a given point in the field is 80 V, what is the potential at a point 1.0 m directly east of the point?

Correct Answer
verified

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California. How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
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A proton with a speed of 2.0 x $10^5$ m/s accelerates through a potential difference and thereby increases its speed to 4.0 x $10^5$ m/s. Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10^-19 C , m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

Two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting. Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice.)

Correct Answer
verified

Correct Answer
verified

Which of the following will increase the capacitance of a parallel-plate capacitor? (There could be more than one correct choice.)

Correct Answer
verified

An air-filled capacitor has a potential difference between the plates of 80 V. If the charge on each of the plates of the capacitor has magnitude 8.0 μC, what is the electrical energy stored by this capacitor?

Correct Answer
verified

Correct Answer
verified

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 strength of the electric field between the plates of this capacitor?

Correct Answer
verified

Two 5.0-µC point charges are 12 cm apart. What is the electric potential (relative to infinity) of this combination at the point where the electric field due to these charges is zero? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
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The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity. What is the potential (relative to infinity) at a distance of 2 m from the same charge?

Correct Answer
verified

As a proton moves in a direction perpendicular to the electric field lines

Correct Answer
verified

Correct Answer
verified

As an electron moves in the direction the electric field lines

Correct Answer
verified

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?

Correct Answer
verified

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side. What is the electric potential of these charges, relative to infinity, at the center of this square? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Two protons are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move apart? (There could be more than one correct choice.)

Correct Answer
verified

A square is 1.0 m on a side. Point charges of +4.0 μC are placed in two diagonally opposite corners. In the other two corners are placed charges of +3.0 μC and -3.0 μC. What is the potential (relative to infinity) at the midpoint of the square? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Exam 21: Electric Potential

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V. What speed does the proton gain? (e = 1.60 × 10-19 C , mproton = 1.67 × 10-27 kg)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Consider a uniform horizontal electric field of 50 N/C directed toward the east. If the electric potential at a given point in the field is 80 V, what is the potential at a point 1.0 m directly east of the point?

Correct AnswerverifiedShow Answer

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California. How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

A proton with a speed of 2.0 x 10510^5105 m/s accelerates through a potential difference and thereby increases its speed to 4.0 x 10510^5105 m/s. Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10-19 C , mproton = 1.67 × 10-27 kg)

Correct AnswerverifiedShow Answer

Two protons are fired toward each other in a particle accelerator, with only the electrostatic force acting. Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice.)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Which of the following will increase the capacitance of a parallel-plate capacitor? (There could be more than one correct choice.)

Correct AnswerverifiedShow Answer

An air-filled capacitor has a potential difference between the plates of 80 V. If the charge on each of the plates of the capacitor has magnitude 8.0 μC, what is the electrical energy stored by this capacitor?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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 strength of the electric field between the plates of this capacitor?

Correct AnswerverifiedShow Answer

Two 5.0-µC point charges are 12 cm apart. What is the electric potential (relative to infinity) of this combination at the point where the electric field due to these charges is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

The electric potential at a distance of 4 m from a certain point charge is 200 V relative to infinity. What is the potential (relative to infinity) at a distance of 2 m from the same charge?

Correct AnswerverifiedShow Answer

As a proton moves in a direction perpendicular to the electric field lines

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

As an electron moves in the direction the electric field lines

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side. What is the electric potential of these charges, relative to infinity, at the center of this square? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

Two protons are released from rest, with only the electrostatic force acting. Which of the following statements must be true about them as they move apart? (There could be more than one correct choice.)

Correct AnswerverifiedShow Answer

A square is 1.0 m on a side. Point charges of +4.0 μC are placed in two diagonally opposite corners. In the other two corners are placed charges of +3.0 μC and -3.0 μC. What is the potential (relative to infinity) at the midpoint of the square? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V. What speed does the proton gain? (e = 1.60 × 10^-19C , m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California. How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

A proton with a speed of 2.0 x $10^5$ m/s accelerates through a potential difference and thereby increases its speed to 4.0 x $10^5$ m/s. Through what magnitude potential difference did the proton accelerate? (e = 1.60 × 10^-19 C , m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Two 5.0-µC point charges are 12 cm apart. What is the electric potential (relative to infinity) of this combination at the point where the electric field due to these charges is zero? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side. What is the electric potential of these charges, relative to infinity, at the center of this square? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Correct Answer
verified

A square is 1.0 m on a side. Point charges of +4.0 μC are placed in two diagonally opposite corners. In the other two corners are placed charges of +3.0 μC and -3.0 μC. What is the potential (relative to infinity) at the midpoint of the square? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified