Question 1

If an electron is accelerated from rest through a potential difference of 1,500 V,what speed does it reach?  
,melectron = 9.11 × 10-31 kg)

Accepted Answer

A) 2.3 × 107 m/s 
B) 1.9 × 107 m/s 
C) 1.5 × 107 m/s 
D) 1.1 × 107 m/s 
A) 2.3 × 107 m/s 
B) 1.9 × 107 m/s 
C) 1.5 × 107 m/s 
D) 1.1 × 107 m/s

Question 2

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 
A) 1.0 × 104 V 
B) 1.0 × 105 V 
C) 1.0 × 106 V 
D) 0 V 
E) infinite

Question 3

An capacitor consists of two large parallel plates of area A separated by a very small distance d.This capacitor is connected to a battery and charged until its plates carry charges +Q and -Q,and then disconnected from the battery.If the separation between the plates is now doubled,the potential difference between the plates will

Accepted Answer

A) double. 
B) quadruple. 
C) be cut in half. 
D) be cut in fourth. 
E) not change. 
A) double. 
B) quadruple. 
C) be cut in half. 
D) be cut in fourth. 
E) not change.

Question 4

A battery charges a parallel-plate capacitor fully and then is removed.The plates are then slowly pulled apart.What happens to the potential difference between the plates as they are being separated?

Accepted Answer

A) It increases. 
B) It decreases. 
C) It remains constant. 
D) It cannot be determined from the information given. 
A) It increases. 
B) It decreases. 
C) It remains constant. 
D) It cannot be determined from the information given.

Question 5

An ideal parallel-plate capacitor having circular plates of diameter D that are a distance d apart stores energy U when it is connected across a fixed potential difference.If you want to triple the amount of energy stored in this capacitor by changing only the size of its plates,the diameter should be changed to

Accepted Answer

A) 9D. 
B) 3D. 
C) D   . 
D)    . 
E)    . 
A) 9D. 
B) 3D. 
C) D   . 
D)    . 
E)    .

Question 6

A uniform electric field has the strength of  
What is the electric energy density of this field? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A) 2.2 × 10-10 J/m3 
B) 3.1 × 10-11 J/m3 
C) 2.8 × 1012 J/m3 
D) 5.5 × 1012 J/m3 
A) 2.2 × 10-10 J/m3 
B) 3.1 × 10-11 J/m3 
C) 2.8 × 1012 J/m3 
D) 5.5 × 1012 J/m3

Question 7

A battery maintains the electrical potential difference of 6.0-V between two large parallel metal plates separated by 1.0 mm.What is the strength of the electric field between the plates?

Accepted Answer

A) 6.0 V/m 
B) 600 V/m 
C) 6000 V/m 
D) zero 
A) 6.0 V/m 
B) 600 V/m 
C) 6000 V/m 
D) zero

Question 8

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 at point A,relative to infinity,due to these charges? (k = 1/4πε0

Accepted Answer

A) 0.899 kV 
B) 8.99 kV 
C) 89.9 kV 
D) 899 kV 
E) 8990 kV 
A) 0.899 kV 
B) 8.99 kV 
C) 89.9 kV 
D) 899 kV 
E) 8990 kV

Question 9

Two +6.0-µC charges are placed at two of the vertices of an equilateral triangle having sides 2.0 m long.What is the electric potential at the third vertex,relative to infinity,due to these charges?

Accepted Answer

A) 54 kV 
B) 108 V 
C) 0 V 
D) 90 kV 
E) 27 kV 
A) 54 kV 
B) 108 V 
C) 0 V 
D) 90 kV 
E) 27 kV

Question 10

A 6.9 μC negative point charge has a positively charged particle in an elliptical orbit about it.If the mass of the positively charged particle is  
And its distance from the point charge varies from  
To  
,what is the maximum potential difference through which the positive object moves?

Accepted Answer

A) 12 MV 
B) 3.9 MV 
C) -5.2 MV 
D) 19 MV 
A) 12 MV 
B) 3.9 MV 
C) -5.2 MV 
D) 19 MV

Question 11

A parallel-plate capacitor with plate separation of 4.0 cm has a plate area of 6.0 ×  
 
.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 ×   F 
B) 3.7 ×   F 
C) 16 ×   F 
D) 32 ×   F 
E) 32 ×   F 
A) 3.7 ×   F 
B) 3.7 ×   F 
C) 16 ×   F 
D) 32 ×   F 
E) 32 ×   F

Question 12

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

Question 13

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart.What happens to the strength of the electric field between the plates during this process?

Accepted Answer

A) It increases. 
B) It decreases. 
C) It remains constant. 
D) It cannot be determined from the information given. 
A) It increases. 
B) It decreases. 
C) It remains constant. 
D) It cannot be determined from the information given.

Question 14

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

Question 15

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

Accepted Answer

A) 30 V 
B) 50 V 
C) 80 V 
D) 130 V 
A) 30 V 
B) 50 V 
C) 80 V 
D) 130 V

Question 16

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

Question 17

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?

Accepted Answer

A) 1.0 × 104 J 
B) 2.5 × 10-3 J 
C) 100 J 
D) 2500 J 
A) 1.0 × 104 J 
B) 2.5 × 10-3 J 
C) 100 J 
D) 2500 J

Question 18

A proton moves 0.10 m along the direction of an electric field of magnitude 3.0 V/m.What is the change in kinetic energy of the proton? (e = 1.60 × 10-19C)

Accepted Answer

A) 4.8 × 10-20 J 
B) 3.2 × 10-20 J 
C) 1.6 × 10-20 J 
D) 8.0 × 10-21 J 
A) 4.8 × 10-20 J 
B) 3.2 × 10-20 J 
C) 1.6 × 10-20 J 
D) 8.0 × 10-21 J

Question 19

Doubling the capacitance of a capacitor that is holding a constant charge causes the energy stored in that capacitor to

Accepted Answer

A) quadruple. 
B) double. 
C) decrease to one-half. 
D) decrease to one-fourth. 
A) quadruple. 
B) double. 
C) decrease to one-half. 
D) decrease to one-fourth.

Question 20

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

Exam 20: Electric Potential and Electric

If an electron is accelerated from rest through a potential difference of 1,500 V,what speed does it reach? ,melectron = 9.11 × 10-31 kg)

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 battery charges a parallel-plate capacitor fully and then is removed.The plates are then slowly pulled apart.What happens to the potential difference between the plates as they are being separated?

A uniform electric field has the strength of What is the electric energy density of this field? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

A battery maintains the electrical potential difference of 6.0-V between two large parallel metal plates separated by 1.0 mm.What is the strength of the electric field between the plates?

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 at point A,relative to infinity,due to these charges? (k = 1/4πε0

Two +6.0-µC charges are placed at two of the vertices of an equilateral triangle having sides 2.0 m long.What is the electric potential at the third vertex,relative to infinity,due to these charges?

A 6.9 μC negative point charge has a positively charged particle in an elliptical orbit about it.If the mass of the positively charged particle is And its distance from the point charge varies from To ,what is the maximum potential difference through which the positive object moves?

A parallel-plate capacitor with plate separation of 4.0 cm has a plate area of 6.0 × .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)

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)

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart.What happens to the strength of the electric field between the plates during this process?

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?

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

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 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?

A proton moves 0.10 m along the direction of an electric field of magnitude 3.0 V/m.What is the change in kinetic energy of the proton? (e = 1.60 × 10-19C)

Doubling the capacitance of a capacitor that is holding a constant charge causes the energy stored in that capacitor to

If the electric field between the plates of a given air-filled capacitor is weakened by removing charge from the plates,the capacitance of that capacitor

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If an electron is accelerated from rest through a potential difference of 1,500 V,what speed does it reach? ,m_electron = 9.11 × 10^-31 kg)

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 uniform electric field has the strength of What is the electric energy density of this field? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

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 at point A,relative to infinity,due to these charges? (k = 1/4πε₀

A parallel-plate capacitor with plate separation of 4.0 cm has a plate area of 6.0 × .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)

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 proton moves 0.10 m along the direction of an electric field of magnitude 3.0 V/m.What is the change in kinetic energy of the proton? (e = 1.60 × 10^-19C)