Two parallel plates that are initially uncharged are separated by 1.7 mm, have only air between them, and each have surface areas of 16 cm2. How much charge must be transferred from one plate to the other if 1.9 J of energy are to be stored in the plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

A) 5.6 μC B) 4.0 μC C) 8.0 μC D) 0.60 mC A) 5.6 μC B) 4.0 μC C) 8.0 μC D) 0.60 mC

Exam 21: Electric Potential

When a dielectric material is introduced between the plates of a parallel-plate capacitor and completely fills the space, the capacitance increases by a factor of 4. What is the dielectric constant of the material that was introduced?

(Multiple Choice)

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Question 81

An ideal air-filled parallel-plate capacitor consists of two circular plates, each of radius $0.30 \mathrm {~mm}$ How far apart should the plates be for the capacitance to be 300.0-pF? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

(Multiple Choice)

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Question 82

A parallel-plate capacitor is connected to a battery and becomes fully charged. The capacitor is then disconnected, and the separation between the plates is increased in such a way that no charge leaks off. As the plates are being separated, the energy stored in this capacitor

(Multiple Choice)

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Question 83

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm. What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 84

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?

(Multiple Choice)

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Question 85

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.)

(Multiple Choice)

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Question 86

As a proton moves in the direction the electric field lines

(Multiple Choice)

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Question 87

Two 3.0 μC charges lie on the x-axis, one at the origin and the other at $2.0 \mathrm {~m}$ What is the potential (relative to infinity) due to these charges at a point at $6.0 \mathrm {~m}$ on the x-axis? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 88

A +5.0-µC point charge is 12 cm from a -5.0-µC point charge. What is the magnitude of the electric field they produce at the point on the line connecting them where their electric potential (relative to infinity) is zero? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 89

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.

(Multiple Choice)

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Question 90

Two parallel plates that are initially uncharged are separated by 1.7 mm, have only air between them, and each have surface areas of 16 cm². How much charge must be transferred from one plate to the other if 1.9 J of energy are to be stored in the plates? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

(Multiple Choice)

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Question 91

When a 12.0-V battery causes 2.00 μC of charge to flow onto the plates of an air-filled capacitor, how much work did the battery do?

(Multiple Choice)

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Question 92

When the magnitude of the charge on each plate of an air-filled capacitor is 4 μC, the potential difference between the plates is 80 V. What is the capacitance of this capacitor?

(Multiple Choice)

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Question 93

A +4.0-μC and a -4.0-μC point charge are placed as shown in the figure. What is the potential difference between points A and B? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 94

Two large parallel plates are separated by 1.0 mm of air. If the potential difference between them is 3.0 V, what is the magnitude of their surface charge densities? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

(Multiple Choice)

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Question 95

Two very small +3.00-μC charges are at the ends of a meter stick. Find the electric potential (relative to infinity) at the center of the meter stick. (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 96

Two parallel circular plates, each with a radius of $7.0 \mathrm {~mm}$ and carrying equal-magnitude surface charge densities of $\pm 3.0 \mu \mathrm { C } / \mathrm { m } ^ { 2 }$ are separated by a distance of $1.0 \mathrm {~mm}$ with only air between them. How much energy is stored in these plates? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

(Multiple Choice)

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Question 97

An ideal air-filled parallel-plate capacitor consists of plates that are 1.0 mm apart and have an area of 1.5 × 10^-4 m². The capacitor is connected to a 12-V potential source (battery). (ε₀ = 8.85 × 10^-12C²/N ∙ m²⁾ (a) What is the capacitance of this capacitor? (b) How much charge is on each of its plates? (c) What is the strength of the electric field between the plates?

(Short Answer)

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Question 98

A tiny particle with charge + 5.0 μC is initially moving at 55 m/s. It is then accelerated through a potential difference of 500 V. How much kinetic energy does this particle gain during the period of acceleration?

(Multiple Choice)

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Question 99

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other. If the smaller capacitor has capacitance C, the larger one has capacitance

(Multiple Choice)

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Question 100

Showing 81 - 100 of 144

Exam 21: Electric Potential

When a dielectric material is introduced between the plates of a parallel-plate capacitor and completely fills the space, the capacitance increases by a factor of 4. What is the dielectric constant of the material that was introduced?

An ideal air-filled parallel-plate capacitor consists of two circular plates, each of radius 0.30 mm0.30 \mathrm {~mm}0.30 mm How far apart should the plates be for the capacitance to be 300.0-pF? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

A parallel-plate capacitor is connected to a battery and becomes fully charged. The capacitor is then disconnected, and the separation between the plates is increased in such a way that no charge leaks off. As the plates are being separated, the energy stored in this capacitor

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm. What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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?

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.)

As a proton moves in the direction the electric field lines

Two 3.0 μC charges lie on the x-axis, one at the origin and the other at 2.0 m2.0 \mathrm {~m}2.0 m What is the potential (relative to infinity) due to these charges at a point at 6.0 m6.0 \mathrm {~m}6.0 m on the x-axis? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A +5.0-µC point charge is 12 cm from a -5.0-µC point charge. What is the magnitude of the electric field they produce at the point on the line connecting them where their electric potential (relative to infinity) is zero? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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.

Two parallel plates that are initially uncharged are separated by 1.7 mm, have only air between them, and each have surface areas of 16 cm2. How much charge must be transferred from one plate to the other if 1.9 J of energy are to be stored in the plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

When a 12.0-V battery causes 2.00 μC of charge to flow onto the plates of an air-filled capacitor, how much work did the battery do?

When the magnitude of the charge on each plate of an air-filled capacitor is 4 μC, the potential difference between the plates is 80 V. What is the capacitance of this capacitor?

A +4.0-μC and a -4.0-μC point charge are placed as shown in the figure. What is the potential difference between points A and B? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Two large parallel plates are separated by 1.0 mm of air. If the potential difference between them is 3.0 V, what is the magnitude of their surface charge densities? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Two very small +3.00-μC charges are at the ends of a meter stick. Find the electric potential (relative to infinity) at the center of the meter stick. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

A tiny particle with charge + 5.0 μC is initially moving at 55 m/s. It is then accelerated through a potential difference of 500 V. How much kinetic energy does this particle gain during the period of acceleration?

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other. If the smaller capacitor has capacitance C, the larger one has capacitance

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An ideal air-filled parallel-plate capacitor consists of two circular plates, each of radius $0.30 \mathrm {~mm}$ How far apart should the plates be for the capacitance to be 300.0-pF? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

Four 2.0-µC point are at the corners of a rectangle with sides of length 3.0 cm and 4.0 cm. What is the electric potential (relative to infinity) at the midpoint of the rectangle? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two 3.0 μC charges lie on the x-axis, one at the origin and the other at $2.0 \mathrm {~m}$ What is the potential (relative to infinity) due to these charges at a point at $6.0 \mathrm {~m}$ on the x-axis? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A +5.0-µC point charge is 12 cm from a -5.0-µC point charge. What is the magnitude of the electric field they produce at the point on the line connecting them where their electric potential (relative to infinity) is zero? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

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.

Two parallel plates that are initially uncharged are separated by 1.7 mm, have only air between them, and each have surface areas of 16 cm². How much charge must be transferred from one plate to the other if 1.9 J of energy are to be stored in the plates? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

A +4.0-μC and a -4.0-μC point charge are placed as shown in the figure. What is the potential difference between points A and B? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two large parallel plates are separated by 1.0 mm of air. If the potential difference between them is 3.0 V, what is the magnitude of their surface charge densities? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

Two very small +3.00-μC charges are at the ends of a meter stick. Find the electric potential (relative to infinity) at the center of the meter stick. (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)