Question 1

The electric potential in a region of space is given by   The electric field in this region is

Accepted Answer

A) 50 V   
B) (15 V/m)x   
C) (50 V/m + 15 V/m)   
D) (15 V/m)   
E) -(15 V/m)   
A) 50 V   
B) (15 V/m)x   
C) (50 V/m + 15 V/m)   
D) (15 V/m)   
E) -(15 V/m)   E

Question 2

The electron volt is a unit of

Accepted Answer

A) capacitance 
B) charge 
C) energy 
D) momentum 
E) potential 
A) capacitance 
B) charge 
C) energy 
D) momentum 
E) potential C

Question 3

Use the following figure to answer the next  problem:  
-A ring of radius 5 cm is in the yz plane with its center at the origin.The ring carries a uniform charge of 10 nC.The electric potential at x = 12 cm is approximately

Accepted Answer

A) 217 V 
B) 543 V 
C) 692 V 
D) 809 V 
E) 963 V 
A) 217 V 
B) 543 V 
C) 692 V 
D) 809 V 
E) 963 V C

Question 4

Use the following figure to answer the next  problem:  
-ABC is a straight line with AB = BC = 0.60 nm.BP is perpendicular to ABC and BP = 0.80 nm.Charges of +3.2 × 10-19 C are placed at A and B.The magnitude of the electric field at P is

Accepted Answer

A) 9.1 × 109 N/C 
B) 6.8 × 109 N/C 
C) 1.2 × 1010 N/C 
D) 2.6 × 1010 N/C 
E) 3.3 × 1010 N/C 
A) 9.1 × 109 N/C 
B) 6.8 × 109 N/C 
C) 1.2 × 1010 N/C 
D) 2.6 × 1010 N/C 
E) 3.3 × 1010 N/C

Question 5

The electric field in a region is given by   where Q is the charge.What is the potential between r = a to r = b?

Accepted Answer

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

Question 6

Use the following figure to answer the next problem.  
-The electrostatic potential energy of the system of point charges q1 = -1 µC,q2 = 2 µC,and q3 = 3 µC at the corners of the equilateral triangle whose side s = 50 cm is

Accepted Answer

A) 18.0 mJ 
B) -18.0 mJ 
C) 21.6 mJ 
D) -24.4 mJ 
E) 1.23 mJ 
A) 18.0 mJ 
B) -18.0 mJ 
C) 21.6 mJ 
D) -24.4 mJ 
E) 1.23 mJ

Question 7

Which of the following statements is true?

Accepted Answer

A) The gradient of the potential must be larger at a place where the electric field is stronger. 
B) The gradient of the potential must be smaller at a place where the electric field is stronger. 
C) The potential must be larger at a place where the electric field is stronger. 
D) The potential must be smaller at a place where the electric field is stronger. 
E) Local electric field strength is proportional to the local electrical potential. 
A) The gradient of the potential must be larger at a place where the electric field is stronger. 
B) The gradient of the potential must be smaller at a place where the electric field is stronger. 
C) The potential must be larger at a place where the electric field is stronger. 
D) The potential must be smaller at a place where the electric field is stronger. 
E) Local electric field strength is proportional to the local electrical potential.

Question 8

Two charges Q1 (= +6 F1F1F1S1F1F1F10C)and Q2 (= -2 F1F1F1S1F1F1F10C)are brought from infinity to positions on the x-axis of x = -4 cm and x = +4 cm,respectively.Is it possible to bring a third charge Q3 (= +3 F1F1F1S1F1F1F10C)from infinity to a point on the x-axis between the charges where the potential is zero,and if so,where would this position be?

Accepted Answer

A) it is not possible 
B) x = 0 cm 
C) x = +2 cm 
D) x = +6 cm 
E) x = +1.5 cm 
A) it is not possible 
B) x = 0 cm 
C) x = +2 cm 
D) x = +6 cm 
E) x = +1.5 cm

Question 9

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0 F1F1F1S1F1F1F10 106 V/m.What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

Accepted Answer

A) 2.7 F1F1F1S1F1F1F10 10-5 C/m2  
B) 1.2 F1F1F1S1F1F1F10 10-5 C/m2  
C) 8.1 F1F1F1S1F1F1F10 10-5 C/m2  
D) 8.6 F1F1F1S1F1F1F10 10-6 C/m2  
E) 1.8 F1F1F1S1F1F1F10 10-5 C/m2  
A) 2.7 F1F1F1S1F1F1F10 10-5 C/m2  
B) 1.2 F1F1F1S1F1F1F10 10-5 C/m2  
C) 8.1 F1F1F1S1F1F1F10 10-5 C/m2  
D) 8.6 F1F1F1S1F1F1F10 10-6 C/m2  
E) 1.8 F1F1F1S1F1F1F10 10-5 C/m2

Question 10

A conducting sphere of radius r1 = 10 cm and charge q1 = 2 F1F1F1S1F1F1F10C is placed far apart from a second conducting sphere of radius r2 = 30 cm and charge q2 = 3 F1F1F1S1F1F1F10C.The two spheres are then connected by a thin conducting wire.What is the charge on the first sphere after the two spheres are connected by the wire?

Accepted Answer

A) 2 F1F1F1S1F1F1F10C 
B) 2.5 F1F1F1S1F1F1F10C 
C) 3 F1F1F1S1F1F1F10C 
D) 1.25 F1F1F1S1F1F1F10C 
E) none of the above 
A) 2 F1F1F1S1F1F1F10C 
B) 2.5 F1F1F1S1F1F1F10C 
C) 3 F1F1F1S1F1F1F10C 
D) 1.25 F1F1F1S1F1F1F10C 
E) none of the above

Question 11

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 potential at a point due to a unit positive charge is found to be V.If the distance between the charge and the point is tripled,the potential becomes

Accepted Answer

A) V/3 
B) 3V 
C) V/9 
D) 9V 
E) 1/V2  
A) V/3 
B) 3V 
C) V/9 
D) 9V 
E) 1/V2

Question 12

Use the following figure to answer the next  problem:  
-A disk of radius 10 cm has a uniform charge density of 20 nC/cm2.A small particle of mass m = 10 mg and charge q0 = 5 nC is placed at x = 20 cm and released.The speed of the particle when it is a great distance from the disk is

Accepted Answer

A) 14.2 cm/s 
B) 22.5 cm/s 
C) 42.9 cm/s 
D) 51.8 cm/s 
E) 66.1 cm/s 
A) 14.2 cm/s 
B) 22.5 cm/s 
C) 42.9 cm/s 
D) 51.8 cm/s 
E) 66.1 cm/s

Question 13

Use the following figure to answer the next  problem:  
-A disk of radius 10 cm has a uniform charge density of 20 nC/cm2.The electric potential at a distance x = 20 cm on its axis is

Accepted Answer

A) 189 kV 
B) 267 kV 
C) 302 kV 
D) 356 kV 
E) 421 kV 
A) 189 kV 
B) 267 kV 
C) 302 kV 
D) 356 kV 
E) 421 kV

Question 14

Use the following to answer the next question.  
-The work required to bring a positively charged body from very far away is greatest for point _____.

Accepted Answer

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

Question 15

A uniform electric field exists between two parallel plates separated by 2.0 cm.The intensity of the field is 15 kN/C.What is the potential difference between the plates?

Accepted Answer

A) 0.75 MV 
B) 30 kV 
C) 15 kV 
D) 0.30 kV 
E) 54 kV 
A) 0.75 MV 
B) 30 kV 
C) 15 kV 
D) 0.30 kV 
E) 54 kV

Question 16

What is the approximate radius of an equipotential spherical surface of 30 V about a point charge of +15 nC if the potential at an infinite distance from the surface is zero?

Accepted Answer

A) 1.0 m 
B) 2.1 m 
C) 3.0 m 
D) 4.5 m 
E) 6.8 m 
A) 1.0 m 
B) 2.1 m 
C) 3.0 m 
D) 4.5 m 
E) 6.8 m

Question 17

The electric potential in a region of space is given by   The electric field in this region is

Accepted Answer

A) 50 V   
B) 50 V   
C) 50 V   
D) 0 
E) 50 V 
A) 50 V   
B) 50 V   
C) 50 V   
D) 0 
E) 50 V

Question 18

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 electrical potential 2.0 cm from a point charge of Q1 = +6.5 F1F1F1S1F1F1F10 10-9 C and 3.5 cm from a second charge Q2 is 1.2 kV.Find Q2.

Accepted Answer

A) -6.7 F1F1F1S1F1F1F10 10-9 C 
B) -3.8 F1F1F1S1F1F1F10 10-9 C 
C) -1.0 F1F1F1S1F1F1F10 10-9 C 
D) 3.8 F1F1F1S1F1F1F10 10-9 C 
E) 1.0 F1F1F1S1F1F1F10 10-9 C 
A) -6.7 F1F1F1S1F1F1F10 10-9 C 
B) -3.8 F1F1F1S1F1F1F10 10-9 C 
C) -1.0 F1F1F1S1F1F1F10 10-9 C 
D) 3.8 F1F1F1S1F1F1F10 10-9 C 
E) 1.0 F1F1F1S1F1F1F10 10-9 C

Question 19

The electric field in a region is given by   where the units are in V/m.What is the potential from the origin to (x,y)= (2,2)m?

Accepted Answer

A)    V 
B)    V 
C)    V 
D) - 6 V 
E) none of the above 
A)    V 
B)    V 
C)    V 
D) - 6 V 
E) none of the above

Question 20

The electric field in a region is given by   where the units are in V/m.What is the potential from the origin to (x,y)= (2,0)m?

Accepted Answer

A) 8 V 
B) -8 V 
C) -16/3 V 
D) -24/3 V 
E) 11 V 
A) 8 V 
B) -8 V 
C) -16/3 V 
D) -24/3 V 
E) 11 V

Exam 23: Electric Potential

The electric potential in a region of space is given by The electric field in this region is

The electron volt is a unit of

Use the following figure to answer the next problem: -A ring of radius 5 cm is in the yz plane with its center at the origin.The ring carries a uniform charge of 10 nC.The electric potential at x = 12 cm is approximately

Use the following figure to answer the next problem: -ABC is a straight line with AB = BC = 0.60 nm.BP is perpendicular to ABC and BP = 0.80 nm.Charges of +3.2 × 10-19 C are placed at A and B.The magnitude of the electric field at P is

The electric field in a region is given by where Q is the charge.What is the potential between r = a to r = b?

Use the following figure to answer the next problem. -The electrostatic potential energy of the system of point charges q1 = -1 µC,q2 = 2 µC,and q3 = 3 µC at the corners of the equilateral triangle whose side s = 50 cm is

Which of the following statements is true?

Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0  106 V/m.What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

Use the following figure to answer the next problem: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm2.A small particle of mass m = 10 mg and charge q0 = 5 nC is placed at x = 20 cm and released.The speed of the particle when it is a great distance from the disk is

Use the following figure to answer the next problem: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm2.The electric potential at a distance x = 20 cm on its axis is

Use the following to answer the next question. -The work required to bring a positively charged body from very far away is greatest for point _____.

A uniform electric field exists between two parallel plates separated by 2.0 cm.The intensity of the field is 15 kN/C.What is the potential difference between the plates?

What is the approximate radius of an equipotential spherical surface of 30 V about a point charge of +15 nC if the potential at an infinite distance from the surface is zero?

The electric potential in a region of space is given by The electric field in this region is

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 electrical potential 2.0 cm from a point charge of Q1 = +6.5  10-9 C and 3.5 cm from a second charge Q2 is 1.2 kV.Find Q2.

The electric field in a region is given by where the units are in V/m.What is the potential from the origin to (x,y)= (2,2)m?

The electric field in a region is given by where the units are in V/m.What is the potential from the origin to (x,y)= (2,0)m?

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

The Electric Field I: Discrete Charge Distributions

The Electric Field Ii: Continuous Charge Distributions

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

Use the following figure to answer the next problem: -ABC is a straight line with AB = BC = 0.60 nm.BP is perpendicular to ABC and BP = 0.80 nm.Charges of +3.2 × 10^-¹⁹ C are placed at A and B.The magnitude of the electric field at P is

Use the following figure to answer the next problem. -The electrostatic potential energy of the system of point charges q₁ = -1 µC,q₂ = 2 µC,and q₃ = 3 µC at the corners of the equilateral triangle whose side s = 50 cm is

Dielectric breakdown occurs in the air at an electric field strength of E_max = 3.0  10⁶ V/m.What is the maximum surface charge density that can be placed on a spherical conductor of radius 1.5 m before breakdown?

Use the following figure to answer the next problem: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm².A small particle of mass m = 10 mg and charge q₀ = 5 nC is placed at x = 20 cm and released.The speed of the particle when it is a great distance from the disk is

Use the following figure to answer the next problem: -A disk of radius 10 cm has a uniform charge density of 20 nC/cm².The electric potential at a distance x = 20 cm on its axis is

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 electrical potential 2.0 cm from a point charge of Q₁ = +6.5  10^-9 C and 3.5 cm from a second charge Q₂ is 1.2 kV.Find Q₂.