Question 1

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)

Accepted Answer

A) +203 kV 
B) -203 kV 
C) -22.5 kV 
D) +22.5 kV 
E) 0.00 kV

Question 2

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?

Accepted Answer

The answer of Two large closely-spaced parallel metal plates are...

Question 3

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?

Accepted Answer

A) A 
B) B 
C) C 
D) D

Question 4

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)

Accepted Answer

A) 0 N/C 
B) 12.5 MN/C 
C) 0.75 MN/C 
D) 25 MN/C 
E) 1.5 MN/C

Question 5

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 × 10-12 C2/N ∙ m2)

Accepted Answer

A) 3.7 × $10^{ - 12}$ F 
B) 3.7 × $10 ^{- 14}$ F 
C) 16 × $10^{ - 14}$ F 
D) 32 × $10 ^{- 14}$ F 
E) 32 × $10^{ - 12}$ F

Question 6

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?

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) None of the above

Question 7

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

Accepted Answer

A) increases. 
B) decreases. 
C) does not change. 
D) It cannot be determined from the information given.

Question 8

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?

Accepted Answer

A) 200 V/m 
B) 300 V/m 
C) 400 V/m 
D) 500 V/m 
E) 600 V/m

Question 9

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?

Accepted Answer

The answer of If the electric field exerts a 27...

Question 10

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

Accepted Answer

A) it is moving from field's low potential to high potential and electric potential energy of the system proton-electric field is increasing. 
B) it is moving from field's low potential to high potential and electric potential energy of the system proton-electric field is decreasing. 
C) it is moving from field's high potential to low potential and electric potential energy of the system proton-electric field is increasing. 
D) it is moving from field's high potential to low potential and electric potential energy of the system proton-electric field is decreasing. 
E) both it's the electric potential and electric potential energy of the system proton-electric field remain constant.

Question 11

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?

Accepted Answer

A) 0 V 
B) 3.0 V 
C) 9.0 V 
D) 12 V

Question 12

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

Accepted Answer

A) increase the charge on the plates 
B) decrease the potential between the plates 
C) increase the potential between the plates 
D) introduce a dielectric material between the plates 
E) decrease the separation between the plates

Question 13

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?

Accepted Answer

A) 72 V 
B) 2110 V 
C) 641 V 
D) 18,675 V

Question 14

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?

Accepted Answer

A) 0.8 μJ 
B) 8 μJ 
C) 80 μJ 
D) 800 μJ 
E) 8000 μJ

Question 15

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?

Accepted Answer

A) 1.4 m from the 0 cm mark 
B) 2.5 m from the 0 cm mark 
C) 2.9 m from the 0 cm mark 
D) 3.3 m from the 0 cm mark 
E) 4.7 m from the 0 cm mark

Question 16

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)

Accepted Answer

A) 0.00 V 
B) 2.70 × 104 V 
C) 5.40 × 104 V 
D) 1.08 × 105 V

Question 17

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?

Accepted Answer

A) 60 V 
B) 81 V 
C) 55 V 
D) 23 V 
E) 0 V

Question 18

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) infinite

Question 19

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.)

Accepted Answer

A) The $\vec { E }$ field is zero at the surface. 
B) The electric potential of the surface is zero. 
C) The $\vec { E }$ field is constant at the surface. 
D) The electric potential is constant over the surface. 
E) The $\vec { E }$ field is perpendicular to the surface.

Question 20

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?

Accepted Answer

A) 2.0 N/C 
B) 4.0 N/C 
C) 0.0020 N/C 
D) 0.0040 N/C 
E) 1.0 N/C

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)

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)

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

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 $391 \mathrm {~V}$ 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?

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 $\vec { E }$ 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)

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 $\vec { E }$ field?

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?

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)

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?