Question 1

The electric potential in a region of space is given by V = 2xy + 3y2 in units of V.The electric field,in V/m,in this region is

Accepted Answer

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

Question 2

The charge density of an infinite line of charge is F1F1F1S1F1F1F10 = 100 nC/m.If zero of potential is chosen to be at a point having a perpendicular distance of 1 m from the line,the electric potential at a perpendicular distance of 50 cm from this line is

Accepted Answer

A) 1.25 kV 
B) 2.34 kV 
C) 0 
D) -1.25 kV 
E) -2.34 kV 
A) 1.25 kV 
B) 2.34 kV 
C) 0 
D) -1.25 kV 
E) -2.34 kV

Question 3

An electric charge q is placed on an isolated metal sphere of radius r1.If an uncharged sphere of radius r2 (with r2 > r1)is then connected to the first sphere,the spheres will have equal

Accepted Answer

A) and like charges on their surfaces. 
B) electric fields. 
C) potentials. 
D) capacitances. 
E) but opposite charges on their surfaces. 
A) and like charges on their surfaces. 
B) electric fields. 
C) potentials. 
D) capacitances. 
E) but opposite charges on their surfaces.

Question 4

The potential of a spherical shell carrying 6.0 F1F1F1S1F1F1F10C of charge is 540 kV.What is the radius of the shell?

Accepted Answer

A) 1.0 F1F1F1S1F1F1F10 101 m 
B) 1.0 F1F1F1S1F1F1F10 102 m 
C) 3.2 F1F1F1S1F1F1F10 10-1 m 
D) 1.0 F1F1F1S1F1F1F10 10-1 m 
E) none of the above 
A) 1.0 F1F1F1S1F1F1F10 101 m 
B) 1.0 F1F1F1S1F1F1F10 102 m 
C) 3.2 F1F1F1S1F1F1F10 10-1 m 
D) 1.0 F1F1F1S1F1F1F10 10-1 m 
E) none of the above

Question 5

Use the following figure to answer the next  problem:   Two equal positive charges are placed x m apart.The equipotential lines are at 100 V interval.
-The work required to move a third charge,q = F1F1F1S1F1F1F10e,from the F1F1F1S1F1F1F10100 V line to b is

Accepted Answer

A) F1F1F1S1F1F1F10100 eV 
B) F1F1F1S1F1F1F10100 eV 
C) F1F1F1S1F1F1F10200 eV 
D) F1F1F1S1F1F1F10200 eV 
E) zero 
A) F1F1F1S1F1F1F10100 eV 
B) F1F1F1S1F1F1F10100 eV 
C) F1F1F1S1F1F1F10200 eV 
D) F1F1F1S1F1F1F10200 eV 
E) zero

Question 6

The metal sphere at the top of a small Van de Graaf generator has a radius of 8.0 cm.How much charge can be accumulated on this sphere before dielectric breakdown of the air around it occurs? (The dielectric strength of air is 3.0 MV/m.)

Accepted Answer

A) 2.1 µC 
B) 3.3 µC 
C) 1.3 nC 
D) 6.7 µC 
E) 4.2 µC 
A) 2.1 µC 
B) 3.3 µC 
C) 1.3 nC 
D) 6.7 µC 
E) 4.2 µC

Question 7

The electric potential is known to be a function of x only; i.e.,v = V(x).The electric field at a position x1 is given by

Accepted Answer

A) V(x1) 
B)    
C)    
D)    
E)    
A) V(x1) 
B)    
C)    
D)    
E)

Question 8

Use the following to answer the next question.  
-The electrostatic potential energy of a positively charged body is greatest at point _____.

Accepted Answer

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

Question 9

A solid spherical conductor of radius 15 cm has a charge Q = 6.5 nC on it.A second,initially uncharged,spherical conductor of radius 10 cm is moved toward the first until they touch and is then moved far away from it.How much charge is there on the second sphere after the two spheres have been separated?

Accepted Answer

A) 2.6 nC 
B) 2.2 nC 
C) 3.2 nC 
D) 3.9 nC 
E) 4.3 nC 
A) 2.6 nC 
B) 2.2 nC 
C) 3.2 nC 
D) 3.9 nC 
E) 4.3 nC

Question 10

A solid spherical conductor of radius 20 cm has a charge Q = 25 nC on it.A second,initially uncharged,spherical conductor of radius 12 cm is moved toward the first until they touch and is then moved far away from it.How much charge is there on the second sphere after the two spheres have been separated?

Accepted Answer

A) 15 nC 
B) 9.4 nC 
C) 25 nC 
D) 3.9 nC 
E) 2.1 nC 
A) 15 nC 
B) 9.4 nC 
C) 25 nC 
D) 3.9 nC 
E) 2.1 nC

Question 11

Use the following figure to answer the next problem:   The electric field versus distance for a charge is plotted above.Use the reference point
 
-The work required to move a charge,q = F1F1F1S1F1F1F10e from infinity to r = 2 m is

Accepted Answer

A) 4000 eV 
B) 2000 eV 
C) 1000 eV 
D)    4000 eV 
E) zero 
A) 4000 eV 
B) 2000 eV 
C) 1000 eV 
D)    4000 eV 
E) zero

Question 12

Which of the following statements regarding potential is true?

Accepted Answer

A) The units of potential are N/C. 
B) Potential is a vector quantity. 
C) Equipotential surfaces are at right angles to lines of force. 
D) Potential differences can be measured directly with a ballistic galvanometer. 
E) Equipotential surfaces for an isolated point charge are cubes concentric with the charge. 
A) The units of potential are N/C. 
B) Potential is a vector quantity. 
C) Equipotential surfaces are at right angles to lines of force. 
D) Potential differences can be measured directly with a ballistic galvanometer. 
E) Equipotential surfaces for an isolated point charge are cubes concentric with the charge.

Question 13

When 2.0 C of charge moves at constant speed along a path between two points differing in potential by 6.0 V,the amount of work done is

Accepted Answer

A) 2 J 
B) 3 J 
C) 6 J 
D) 12 J 
E) 24 J 
A) 2 J 
B) 3 J 
C) 6 J 
D) 12 J 
E) 24 J

Question 14

The electric potential in a region of space is given by   The y-component of the electric field in this region is

Accepted Answer

A) (10 V/m)   
B) -(10 V/m)   
C) -(20 V/m)   
D) (20 V/m)   
E) -(30 V/m)   
A) (10 V/m)   
B) -(10 V/m)   
C) -(20 V/m)   
D) (20 V/m)   
E) -(30 V/m)

Question 15

A proton (charge = e,mass = 1.67 F1F1F1S1F1F1F10 10-27 kg)with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e,mass = 3.95 F1F1F1S1F1F1F10 10-25 kg).Calculate how close to the uranium the proton gets before it comes to rest.(Assume the uranium nucleus does not move.)

Accepted Answer

A) 2.75 F1F1F1S1F1F1F10 105 m 
B) 4.40 F1F1F1S1F1F1F10 10-8 m 
C) 4.40 F1F1F1S1F1F1F10 10-14 m 
D) 2.10 F1F1F1S1F1F1F10 10-7 m 
E) none of the above 
A) 2.75 F1F1F1S1F1F1F10 105 m 
B) 4.40 F1F1F1S1F1F1F10 10-8 m 
C) 4.40 F1F1F1S1F1F1F10 10-14 m 
D) 2.10 F1F1F1S1F1F1F10 10-7 m 
E) none of the above

Question 16

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0 F1F1F1S1F1F1F10 106 V/m.If the maximum potential at the surface of a spherical conductor is 5.0 F1F1F1S1F1F1F10 106 V,then calculate the radius of the sphere.

Accepted Answer

A) 0.60 m 
B) 1.3 m 
C) 1.7 m 
D) 0.77 m 
E) 15 m 
A) 0.60 m 
B) 1.3 m 
C) 1.7 m 
D) 0.77 m 
E) 15 m

Question 17

Use the following to answer the next question.  
-The electrostatic potential energy of a negatively charged body is greatest at point _____.

Accepted Answer

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

Question 18

An electric dipole that has a positive charge of 4.8 × 10-19 C is separated from a negative charge of the same magnitude by 6.4 × 10-10 m.The electric potential at a point 9.2 × 10-10 m from each of the two charges is

Accepted Answer

A) 9.4 V 
B) zero 
C) 4.2 V 
D) 5.1 × 109 V 
E) 1.7 V 
A) 9.4 V 
B) zero 
C) 4.2 V 
D) 5.1 × 109 V 
E) 1.7 V

Question 19

Three charges are brought from infinity and placed at the corner of an equilateral triangle.Which of the following statements is true?

Accepted Answer

A) The work required to assemble the charges is always positive. 
B) The electrostatic potential energy of the system is always positive. 
C) The electrostatic potential energy does not depend on the order the charges are placed at the corners. 
D) The work required to assemble the charges depends on which charge is placed at which corner. 
E) The electrostatic potential energy depends on which charge is placed at which corner. 
A) The work required to assemble the charges is always positive. 
B) The electrostatic potential energy of the system is always positive. 
C) The electrostatic potential energy does not depend on the order the charges are placed at the corners. 
D) The work required to assemble the charges depends on which charge is placed at which corner. 
E) The electrostatic potential energy depends on which charge is placed at which corner.

Question 20

Two protons in a nucleus of 238U are 6.0 F1F1F1S1F1F1F10 10-15 m apart.The electrostatic potential energy of the pair is approximately

Accepted Answer

A) zero 
B) 4.7 F1F1F1S1F1F1F10 10-34 J 
C) 4.3 F1F1F1S1F1F1F10 10-24 J 
D) 3.8 F1F1F1S1F1F1F10 10-14 J 
E) 2.4 F1F1F1S1F1F1F10 104 J 
A) zero 
B) 4.7 F1F1F1S1F1F1F10 10-34 J 
C) 4.3 F1F1F1S1F1F1F10 10-24 J 
D) 3.8 F1F1F1S1F1F1F10 10-14 J 
E) 2.4 F1F1F1S1F1F1F10 104 J

Exam 23: Electric Potential

The electric potential in a region of space is given by V = 2xy + 3y2 in units of V.The electric field,in V/m,in this region is

The charge density of an infinite line of charge is  = 100 nC/m.If zero of potential is chosen to be at a point having a perpendicular distance of 1 m from the line,the electric potential at a perpendicular distance of 50 cm from this line is

An electric charge q is placed on an isolated metal sphere of radius r1.If an uncharged sphere of radius r2 (with r2 > r1)is then connected to the first sphere,the spheres will have equal

The potential of a spherical shell carrying 6.0 C of charge is 540 kV.What is the radius of the shell?

Use the following figure to answer the next problem: Two equal positive charges are placed x m apart.The equipotential lines are at 100 V interval. -The work required to move a third charge,q = e,from the 100 V line to b is

The metal sphere at the top of a small Van de Graaf generator has a radius of 8.0 cm.How much charge can be accumulated on this sphere before dielectric breakdown of the air around it occurs? (The dielectric strength of air is 3.0 MV/m.)

The electric potential is known to be a function of x only; i.e.,v = V(x).The electric field at a position x1 is given by

Use the following to answer the next question. -The electrostatic potential energy of a positively charged body is greatest at point _____.

Use the following figure to answer the next problem: The electric field versus distance for a charge is plotted above.Use the reference point -The work required to move a charge,q = e from infinity to r = 2 m is

Which of the following statements regarding potential is true?

When 2.0 C of charge moves at constant speed along a path between two points differing in potential by 6.0 V,the amount of work done is

The electric potential in a region of space is given by The y-component of the electric field in this region is

A proton (charge = e,mass = 1.67  10-27 kg)with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e,mass = 3.95  10-25 kg).Calculate how close to the uranium the proton gets before it comes to rest.(Assume the uranium nucleus does not move.)

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0  106 V/m.If the maximum potential at the surface of a spherical conductor is 5.0  106 V,then calculate the radius of the sphere.

Use the following to answer the next question. -The electrostatic potential energy of a negatively charged body is greatest at point _____.

An electric dipole that has a positive charge of 4.8 × 10-19 C is separated from a negative charge of the same magnitude by 6.4 × 10-10 m.The electric potential at a point 9.2 × 10-10 m from each of the two charges is

Three charges are brought from infinity and placed at the corner of an equilateral triangle.Which of the following statements is true?

Two protons in a nucleus of 238U are 6.0  10-15 m apart.The electrostatic potential energy of the pair is approximately

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The electric potential in a region of space is given by V = 2xy + 3y² in units of V.The electric field,in V/m,in this region is

An electric charge q is placed on an isolated metal sphere of radius r₁.If an uncharged sphere of radius r₂ (with r₂ > r₁)is then connected to the first sphere,the spheres will have equal

The electric potential is known to be a function of x only; i.e.,v = V(x).The electric field at a position x₁ is given by

A proton (charge = e,mass = 1.67  10^-27 kg)with initial kinetic energy 3 MeV is fired head-on towards a fixed stationary uranium nucleus (charge 92e,mass = 3.95  10^-25 kg).Calculate how close to the uranium the proton gets before it comes to rest.(Assume the uranium nucleus does not move.)

Dielectric breakdown occurs in the air at an electric field strength of E_max = 3.0  10⁶ V/m.If the maximum potential at the surface of a spherical conductor is 5.0  10⁶ V,then calculate the radius of the sphere.

An electric dipole that has a positive charge of 4.8 × 10^-¹⁹ C is separated from a negative charge of the same magnitude by 6.4 × 10^-¹⁰ m.The electric potential at a point 9.2 × 10^-¹⁰ m from each of the two charges is

Two protons in a nucleus of ²³⁸U are 6.0  10^-15 m apart.The electrostatic potential energy of the pair is approximately