Exam 16: The Electric Field

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 difference V_A - V_B? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 61

Two large closely-spaced parallel metal plates are uniformly and oppositely charged and the magnitude of the $\vec { E }$ field between them is 7.6 × 10⁶ N/C. (a)What is the charge per unit area on each plate? (b)If the plates are now moved two times farther apart,what is the magnitude of the $\vec { E }$ field between the plates?

(Short Answer)

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Question 62

Three equal positive point charges +q are placed at the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net $\vec { E }$ field at the center of the square? $Three equal positive point charges +q are placed at the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net \vec { E } field at the center of the square?$

(Multiple Choice)

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Question 63

A +5.0-µC point charge is 12 cm from a -5.0-µC point charge.What is the magnitude of the $\vec { E }$ 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 64

A parallel-plate capacitor with plate separation of 4.0 cm has a plate area of 6.0 × $10 ^{- 2}$ $m ^ { 2 }$ What is the capacitance of this capacitor if a dielectric material with a dielectric constant of 2.4 is placed between the plates,completely filling the space? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

(Multiple Choice)

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Question 65

Which one of the arrows shown in the figure best represents the direction of the $\vec { E }$ field between the two uniformly charged metal plates? $Which one of the arrows shown in the figure best represents the direction of the \vec { E } field between the two uniformly charged metal plates?$

(Multiple Choice)

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Question 66

If the $\vec { E }$ field between the plates of a given air-filled capacitor is weakened by removing charge from the plates,the capacitance of that capacitor

(Multiple Choice)

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Question 67

In a region where the electric field is uniform and points in the +x direction,the electric potential is -2000 V at x = 8 m and is +400 V at x = 2 m.What is the magnitude of the $\vec { E }$ field?

(Multiple Choice)

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Question 68

If the electric field exerts a 27 mN force on a point charge of -30 µC at a certain location in the laboratory,what are the magnitude and direction of the $\vec { E }$ field at that location?

(Short Answer)

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Question 69

As a proton moves in the direction the $\vec { E }$ field lines

(Multiple Choice)

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Question 70

The potential (relative to infinity)at the midpoint of a square is 3.0 V when a point charge of +Q is located at one of the corners of the square.What is the potential (relative to infinity)at the center when each of the other corners is also contains a point charge of +Q?

(Multiple Choice)

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Question 71

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

(Multiple Choice)

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Question 72

A capacitor has a voltage of $391 \mathrm {~V}$ applied across its plates,and then the voltage source is removed.What is the potential difference across its plates if the space between them is then filled with mica,having a dielectric constant of 5.4?

(Multiple Choice)

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Question 73

When a 4-μF capacitor has a potential drop of 20 V across its plates,how much electric potential energy is stored in this capacitor?

(Multiple Choice)

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Question 74

A +5.00-μC point charge is placed at the 0.0 cm mark of a meter stick and a -4.00-μC point charge is placed at the 50.0 cm mark.At what point on a line through the ends of the meter stick is the $\vec { E }$ field equal to zero?

(Multiple Choice)

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Question 75

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 76

Measurements show that it takes 0.30 mJ of work to move 5.0-μC of charge from one plate to another of a certain air-filled capacitor while the potential difference between these plates is kept constant.What is the potential difference between the plates of this capacitor?

(Multiple Choice)

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Question 77

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)

(Multiple Choice)

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Question 78

Which statements must be true about the surface of a charged conductor in which no charge is moving? (There could be more than one correct choice.)

(Multiple Choice)

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Question 79

A small object with a 5.0-μC charge is accelerating horizontally on a friction-free surface at 0.0050 m/s2 due only to an electric field.If the object has a mass of 2.0 g,what is the magnitude of the $\vec { E }$ field?

(Multiple Choice)

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Question 80

Showing 61 - 80 of 151

Exam 16: The Electric Field

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 difference VA - VB? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Three equal positive point charges +q are placed at the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net E⃗\vec { E }E field at the center of the square?

A +5.0-µC point charge is 12 cm from a -5.0-µC point charge.What is the magnitude of the E⃗\vec { E }E 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)

Which one of the arrows shown in the figure best represents the direction of the E⃗\vec { E }E field between the two uniformly charged metal plates?

If the E⃗\vec { E }E field between the plates of a given air-filled capacitor is weakened by removing charge from the plates,the capacitance of that capacitor

In a region where the electric field is uniform and points in the +x direction,the electric potential is -2000 V at x = 8 m and is +400 V at x = 2 m.What is the magnitude of the E⃗\vec { E }E field?

If the electric field exerts a 27 mN force on a point charge of -30 µC at a certain location in the laboratory,what are the magnitude and direction of the E⃗\vec { E }E field at that location?

As a proton moves in the direction the E⃗\vec { E }E field lines

The potential (relative to infinity)at the midpoint of a square is 3.0 V when a point charge of +Q is located at one of the corners of the square.What is the potential (relative to infinity)at the center when each of the other corners is also contains a point charge of +Q?

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

A capacitor has a voltage of 391 V391 \mathrm {~V}391 V applied across its plates,and then the voltage source is removed.What is the potential difference across its plates if the space between them is then filled with mica,having a dielectric constant of 5.4?

When a 4-μF capacitor has a potential drop of 20 V across its plates,how much electric potential energy is stored in this capacitor?

A +5.00-μC point charge is placed at the 0.0 cm mark of a meter stick and a -4.00-μC point charge is placed at the 50.0 cm mark.At what point on a line through the ends of the meter stick is the E⃗\vec { E }E field equal to zero?

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)

Measurements show that it takes 0.30 mJ of work to move 5.0-μC of charge from one plate to another of a certain air-filled capacitor while the potential difference between these plates is kept constant.What is the potential difference between the plates of this capacitor?

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)

Which statements must be true about the surface of a charged conductor in which no charge is moving? (There could be more than one correct choice.)

A small object with a 5.0-μC charge is accelerating horizontally on a friction-free surface at 0.0050 m/s2 due only to an electric field.If the object has a mass of 2.0 g,what is the magnitude of the E⃗\vec { E }E field?

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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 difference V_A - V_B? (k = 1/4πε₀ = 8.99 × 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 $\vec { E }$ 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)

Which one of the arrows shown in the figure best represents the direction of the $\vec { E }$ field between the two uniformly charged metal plates? $Which one of the arrows shown in the figure best represents the direction of the \vec { E } field between the two uniformly charged metal plates?$

If the $\vec { E }$ field between the plates of a given air-filled capacitor is weakened by removing charge from the plates,the capacitance of that capacitor

In a region where the electric field is uniform and points in the +x direction,the electric potential is -2000 V at x = 8 m and is +400 V at x = 2 m.What is the magnitude of the $\vec { E }$ field?

If the electric field exerts a 27 mN force on a point charge of -30 µC at a certain location in the laboratory,what are the magnitude and direction of the $\vec { E }$ field at that location?

As a proton moves in the direction the $\vec { E }$ field lines

A capacitor has a voltage of $391 \mathrm {~V}$ applied across its plates,and then the voltage source is removed.What is the potential difference across its plates if the space between them is then filled with mica,having a dielectric constant of 5.4?

A +5.00-μC point charge is placed at the 0.0 cm mark of a meter stick and a -4.00-μC point charge is placed at the 50.0 cm mark.At what point on a line through the ends of the meter stick is the $\vec { E }$ field equal to zero?

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 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)

A small object with a 5.0-μC charge is accelerating horizontally on a friction-free surface at 0.0050 m/s2 due only to an electric field.If the object has a mass of 2.0 g,what is the magnitude of the $\vec { E }$ field?