Name: 
 

E & M Review



Modified True/False
Indicate whether the sentence or statement is true or false.  If false, change the identified word or phrase to make the sentence or statement true.
 

1. 

If electrons are removed from an object, it will be charged negatively. _________________________

 

2. 

A negatively charged ebonite rod is brought near a neutral, metallic-coated pith ball. Some of the electrons are repelled by the ebonite rod and move to the far side of the pith ball. This process is called charging by induction. ___________________________________

 

3. 

If a negatively charged ebonite rod is brought close to the knob of a neutral electroscope and you touch the electroscope, some electrons will leave the electroscope and travel through your hand to your body. When you remove your hand the charge on the electroscope will be positive. _________________________

 

4. 

Coulomb’s law is extremely accurate under the conditions that the spheres are small and that the spheres are also small compared to the distance between them. ______________________________

 

5. 

When the charge on both spheres is doubled, the electric force is increased by a factor of four. _________________________

 

6. 

If q1 and q2 are opposite charges, they attract and the electric potential is a negative value, as in the case of gravitational potential energy. _________________________

 

7. 

The unit of electric potential is joules per volt. _________________________

 

8. 

The diagram below represents the electric potential near a negative charge. The electric potential is large near the charge and decreases, approaching zero, as r increases. _________________________
e_-_m_review_files/i0090000.jpg

 

9. 

According to the diagram below, for a negative charge, the electric potential is a large negative value near the charge and increases, approaching zero, as r increases. _________________________
e_-_m_review_files/i0100000.jpg

 

10. 

If a charge moves one-quarter of the distance between two parallel plates, the charge will experience a potential difference of e_-_m_review_files/i0110000.jpg. _________________________

 

11. 

When the net force on an oil drop in a Millikan apparatus is zero, the gravity downward cancels the product of the mass and the electric field on the oil drop. __________________________________________________

 

12. 

The elementary charge e, to four significant digits, is 1.602 ´ 1023 C. _________________________

 

13. 

In an inkjet printer, the ink droplets acquire an electric charge by induction. _________________________

 

14. 

The relative strength of the magnetic field is indicated by the spacing of adjacent field lines. The farther apart the lines, the stronger the magnetic field. ______________________________

 

15. 

The magnitude of a magnetic field is determined by the magnitude of the turning action on a small test compass aligned with the direction of the magnetic field. _________________________

 

16. 

The north pole of a compass points toward the true north. _________________________

 

17. 

Some ferromagnetic materials are aluminum, nickel, calcium, and gadolinium. ______________________________

 

18. 

When a material has a permeability close to 1, it means that the magnitude of the magnetic field will be close to that of a vacuum. _________________________

 

19. 

In two-dimensional diagrams of magnetic fields dots are drawn to represent field lines pointing out of and perpendicular to the page. ______________________________

 

20. 

The motion of a charged particle does not influence the direction of gravitational or electric forces. _________________________

 

21. 

The magnetic field around a straight conductor consists of field lines that are concentric circles. The circles become more widely spaced as the distance from the conductor decreases. _________________________

 

22. 

Measurements of the magnetic field strength show that e_-_m_review_files/i0230000.jpg. _________________________

 

23. 

The SI definition of the ampere is a magnetic one and depends on an understanding of the force between two perpendicular current-carrying conductors. _________________________

 

24. 

When the current is constant in the primary coil of an induction apparatus, then a current is induced in the secondary coil. _________________________

 

25. 

A larger current is produced when a magnet is plunged into a solenoid by using a stronger magnet. _________________________

 

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

26. 

A piece of paper becomes electrically charged when a charged rod of plastic is placed close to it. This is referred to as
a.
charging by a conductor
d.
charging by contact
b.
charging by induction
e.
charging by electricity
c.
charging by an insulator
 

27. 

To charge an electroscope negatively by induction you need
a.
a negatively charged rod
d.
two objects of opposite charges
b.
two objects of the same charge
e.
a positively charged rod and a ground
c.
a negatively charged rod and a ground
 

28. 

When a charge separation has been induced on an object, the charge on the object
a.
is opposite to the charge on the charging object
b.
is proportional to the size of the object being charged
c.
is permanent
d.
is the same as the charge on the charging object
e.
is inversely proportional to the size of the object being charged
 

29. 

When a negatively charged object makes contact with a neutral object, the negative charge is shared between the two objects, and the objects both become negatively charged. This is an example of
a.
charging by friction
d.
Coulomb’s law
b.
charging by contact
e.
charging by induction
c.
induced charge separation
 

30. 

Which subatomic particles are electrically charged?
a.
neutrons only
d.
electrons and neutrons
b.
electrons and protons
e.
protons only
c.
protons and neutrons
 

31. 

A plastic rod is rubbed with silk. Both the plastic rod and the silk become charged. The charge on the silk is due to a shortage of
a.
electrons
d.
ions
b.
protons
e.
positrons
c.
neutrons
 
 
e_-_m_review_files/i0340000.jpg
 

32. 

Four charged spheres, A, D, P, and T are arranged as shown below. Sphere A has a charge of e_-_m_review_files/i0350000.jpg C, sphere D has a charge of e_-_m_review_files/i0350001.jpg C, sphere P has a charge of e_-_m_review_files/i0350002.jpg C, and sphere T has a charge of e_-_m_review_files/i0350003.jpg C. Which two spheres exert the smallest force on each other?
a.
A and D
d.
P and D
b.
A and T
e.
P and T
c.
A and P
 

33. 

Which of the following diagrams best illustrates the electric field in the area around two identical charges?
a.
e_-_m_review_files/i0360000.jpg
d.
e_-_m_review_files/i0360001.jpg
b.
e_-_m_review_files/i0360002.jpg
e.
e_-_m_review_files/i0360003.jpg
c.
e_-_m_review_files/i0360004.jpg
 

34. 

The magnitude of the electric field between the plates of a parallel plate capacitor is 4.7 ´ 104 N/C. If the charge on each plate were to increase by a factor of three, the magnitude of the electric field would
a.
increase by a factor of nine
d.
decrease by a factor of three
b.
increase by a factor of three
e.
not be affected
c.
decrease by a factor of nine
 

35. 

If point charge +q was absent, the electric field at point B would be E. What is the electric field between the two point charges, +q and –q, at point B which lies at the midpoint between the two charges?
e_-_m_review_files/i0380000.jpg
a.
2E [right]
d.
e_-_m_review_files/i0380001.jpg [left]
b.
0
e.
e_-_m_review_files/i0380002.jpg [right]
c.
2E [left]
 

36. 

The magnitude of the electric field between the plates of a parallel plate capacitor is 4.7 ´ 104 N/C. If the plates were separated to a distance that is twice their original separation distance, the magnitude of the electric field would
a.
double
d.
decrease by a factor of sixteen
b.
be halved
e.
not be affected
c.
decrease by a factor of four
 

37. 

Two 2.0-kg spheres each carry a charge of 2.0 C. How does FE compare with Fg?
a.
FE = Fg
b.
Fg > FE
c.
FE > Fg
d.
If the charges on the spheres are the same, then Fg > FE, but if the charges are opposite then FE > Fg.
e.
FE and Fg cannot be compared without knowing the distance between the spheres..
 

38. 

The electric field intensity between two parallel plates is 300.0 N/C. The plates are connected to a battery with an electric potential difference of 12.0 V. The separation of the plates is
a.
25.0 m
d.
4.0 ´ 10–7 m
b.
3600.0 m
e.
0.040 m
c.
2.3 ´ 1011 m
 

39. 

The number of electrons that must be removed from a sphere to give it a charge of 9.2 ´ 10–5 C is
a.
1.7 ´ 1015
d.
8.3 ´ 105
b.
9.8 ´ 1013
e.
1.7 ´ 10–15
c.
5.8 ´ 1014
 

40. 

A small object has an excess of 4.7 ´ 1011 electrons. The electric potential at a distance of 0.200 m from the object would be
a.
2.7 ´ 106 V
d.
3.4 ´ 103 N/C
b.
3.4 ´ 103 V
e.
2.6 ´ 106 N/C
c.
2.1 ´ 1022 V
 

41. 

A sphere of charge +q is in a fixed position. A smaller sphere +q is placed near the larger sphere and released from rest. Which one of the following best describes its motion?
a.
decreasing velocity and increasing acceleration
b.
decreasing velocity and constant acceleration
c.
increasing velocity and decreasing acceleration
d.
increasing velocity and increasing acceleration
e.
decreasing velocity and decreasing acceleration
 

42. 

 
FM
e_-_m_review_files/i0450000.jpg
 

The direction of the positively charged particle’s velocity according to the diagram above must be
a.
to the left
b.
to the right
c.
upward
d.
out of the page, perpendicular to the page
e.
into the page, perpendicular to the page
 

43. 

Which of the following statements are true about a magnetic force and field?
I.      A charged particle may travel through a magnetic field without experiencing a magnetic force.
II.      The magnetic field of a current-carrying conductor points toward the conductor.
III.      If you increase the magnetic field, then you increase the kinetic energy of the charged particle travelling through the magnetic field.
a.
I only
d.
II and III only
b.
I and II only
e.
III only
c.
I and III
 

44. 

Magnetic field strength is measured in
a.
N
d.
kg·m/s2
b.
N·C
e.
kg·m2/s2
c.
kg/C·s
 

45. 

Magnetic force is equal to
a.
e_-_m_review_files/i0480000.jpg
d.
e_-_m_review_files/i0480001.jpg
b.
e_-_m_review_files/i0480002.jpg
e.
e_-_m_review_files/i0480003.jpg
c.
e_-_m_review_files/i0480004.jpg
 

46. 

The magnitude of the magnetic field 1.0 m from a long, straight conductor is 5.47 ´ 10–5 T. The current flowing through the wire must be
a.
2.7 ´ 102 A
d.
1.8 ´ 104 A
b.
4.3 ´ 10–10 A
e.
5.5 ´ 10–5 A
c.
1.1 ´ 10–11 A
 

47. 

What is the magnetic field at point Y halfway between the two conductors in the diagram below?
e_-_m_review_files/i0500000.jpg
a.
zero
d.
e_-_m_review_files/i0500001.jpg, into the page
b.
e_-_m_review_files/i0500002.jpg, out of the page
e.
e_-_m_review_files/i0500003.jpg, into the page
c.
e_-_m_review_files/i0500004.jpg, out of the page
 

48. 

What will happen in the following diagram showing two current-carrying conductors?
e_-_m_review_files/i0510000.jpg
a.
The conductors will attract one another.
b.
The conductors will both move upward.
c.
The conductors will repel one another.
d.
The conductors will both move downward.
e.
Nothing will happen.
 

49. 

A permanent magnet is held still in the centre of a coil connected to a galvanometer. The galvanometer needle will
a.
steadily increase
d.
steadily decrease and then increase
b.
steadily decrease
e.
be steady and have a zero reading
c.
be steady and have a nonzero value
 

50. 

In the diagram below, a permanent magnet is pulled upward through a horizontal loop of wire.
e_-_m_review_files/i0530000.jpg
Which of the following describes the induced current as viewed from above?
a.
clockwise then counterclockwise
d.
counterclockwise
b.
clockwise
e.
No current is induced.
c.
counterclockwise then clockwise
 

Completion
Complete each sentence or statement.
 

51. 

The law of ____________________ states that opposite charges attract one another, similar charges repel one another, and charged objects attract some neutral objects.
 

 

52. 

You bring a negatively charged rod close to a neutral electroscope. You touch the electroscope with your finger and some electrons move from the electroscope to your body. You take your finger away leaving the electroscope with a positive charge. This is an example of _________________________.
 

 

53. 

The ______________________________ states that the total charge within an isolated system is conserved.
 

 

54. 

Electrophoresis is used in DNA fingerprinting. It separates molecules using ____________________.
 

 

55. 

In the region between two parallel plates the electric field is ____________________.
 

 

56. 

The value of potential energy per unit positive charge is referred to as the _________________________.
 

 

57. 

The amount of work required per unit charge to move a positive charge from one point to another in the presence of an electric field is referred to as the ______________________________.
 

 

58. 

The electric field direction is from the (+) plate to the (–) plate, in the direction of ____________________ potential.
 

 

59. 

In the Millikan experiment, the mass of any individual oil drop may be determined by measuring the _________________________ with which it falls when the electric balancing force is removed.
 

 

60. 

All subatomic particles have charges that are integral ____________________ of e.
 

 

61. 

Opposite magnetic poles ____________________. Similar magnetic poles ___________________.
 

 

62. 

The symbol for a magnetic field is ____________________.
 

 

63. 

_____________________________ is the angle between the magnetic north and the geographic north that varies from position to position on the surface of Earth.
 

 

64. 

______________________________ is the angle between Earth’s magnetic field at any given point and the horizontal.
 

 

65. 

Earth has two major radiation belts, the ______________________________ approximately 25 500 km above the surface of Earth and the ___________________________ approximately 12 500 km above the surface of Earth.
 

 

66. 

The force of ____________________ is much weaker than ____________________ or ____________________ forces.
 

 

67. 

When a conductor is placed in a magnetic field, the angle between the conductor and the magnetic field lines must be ____________________ to achieve maximum magnetic force.
 

 

68. 

Complete the following equation: e_-_m_review_files/i0720000.jpg.
 

 

69. 

When a magnet is plunged into a solenoid, the greater the current change, the ____________________ the induced current.
 

 

70. 

When a magnet is plunged into a solenoid, the magnetic field is changing most when the loop is ____________________ to the field.
 

 

Short Answer
 

71. 

State two ways that Coulomb’s law is similar to the Newton’s law of universal gravitation.
 

72. 

Two identical spheres have a negative charge q, and are separated by a centre-centre distance r. State the effect the following changes will have on the electric force F exerted by each sphere:
(a) the distance between the two spheres increases to e_-_m_review_files/i0770000.jpgr
(b) the charge on each sphere becomes 2q
 

73. 

Briefly explain one feature of a coaxial cable that shields the electric current being transmitted from stray electric fields.
 

74. 

Explain briefly the feature of a lightning rod that makes it a better acceptor of lightning than a rooftop.
 

75. 

Describe briefly how Robert Millikan was able to calculate the total electric charge on an oil drop.
 

76. 

Draw a current-carrying conductor showing its magnetic field and the direction of current flow.
 

77. 

Draw a loop showing the magnetic field and the current flow.
 

78. 

Draw a solenoid showing the magnetic field and current flow.
 

79. 

Explain, using the domain theory, why a needle is magnetized when it is rubbed in one direction with a strong magnet.
 

80. 

Explain, using the domain theory, why the beams in a building are often magnetized.
 

81. 

State the right-hand rule for determining the direction of magnetic force for a positive charge moving through a magnetic field.
 
 
e_-_m_review_files/i0870000.jpg
 

82. 

In the diagram above, a positive particle is moving in a uniform circular path in a magnetic field. On the diagram, indicate the direction of the velocity with arrows.
 

83. 

In the diagram above, a negative particle is moving in a uniform circular path in a magnetic field. On the diagram, indicate the direction of the velocity with arrows.
 

84. 

J.J. Thomson’s ideas led to the development of another important device.
(a) What was the device?
(b) What does the device do and how does it achieve this?
 

85. 

The discoveries in electric and magnetic fields have led to other scientific research. List two other areas of research that link these two fields.
 

86. 

State Ampere’s law.
 

87. 

Define one coulomb.
 

88. 

State Lenz’s law.
 

89. 

Why is Lenz’s law consistent with the law of conservation of energy?
 

90. 

Even though the cooktop on an induction stove is cool, you would not place your hand on it if you were wearing a ring made of metal. Why?
 

Problem
 

91. 

Three identical point charges A, B, and C are located as shown on the diagram. A exerts force F on B. An equal force F is exerted by C on B (e_-_m_review_files/i0980000.jpg). What is the net force on B?
e_-_m_review_files/i0980001.jpg
 

92. 

Two charged spheres are 2.00 m apart. One sphere has a charge of e_-_m_review_files/i0990000.jpg and the other sphere has a charge of e_-_m_review_files/i0990001.jpg. Assuming k = e_-_m_review_files/i0990002.jpg, what is the electric force between the two spheres?
 

93. 

The electrostatic force between two point charges is e_-_m_review_files/i1000000.jpg. If the distance between them is doubled, the charge of one of the points doubles and the charge of the other point triples. What will be the force between them?
 

94. 

Calculate the electric field 1.0 m from a small sphere with a positive charge of 3.2 ´ 10–3 C.
 

95. 

Two charges, one of charge +2.5 ´ 10–5 C and the other of charge –3.7 ´ 10–7 C, are 25.0 cm apart. The positive charge is to the left of the negative charge.
(a) Draw a diagram showing the point charges and label a point Y that is 10.0 cm away from the negative charge, on the line connecting the charge. (Field lines do not need to be drawn.)
(b) Calculate the electric field at point Y.
 

96. 

In a Millikan-type experiment, two horizontal parallel plates are 1.0 cm apart. A sphere of mass 2.2 ´ 10–13 kg remains stationary when the potential difference between the plates is 350 V with the upper plate negative.
(a) Is the sphere positively or negatively charged? Explain.
(b) Calculate the magnitude of charge on the sphere.
(c) How much excess or deficit of electrons does the sphere have?
 

97. 

Calculate 1.92 ´ 10–18 C as a multiple of the elementary charge.
 

98. 

An electron accelerates from rest through an electric field and into a magnetic field as shown in the diagram below. The plates have a potential difference of 85 V and the magnetic field has a magnitude of 0.75 T. (Remember: me = 9.1 ´ 10–31 kg and e = 1.6 ´ 10–19 C.)
(a) Calculate the initial speed of the electron upon entering the magnetic field.
(b) Calculate the magnitude and direction of the magnetic force on the electron.
(c) Calculate the radius of the electron’s circular path.
e_-_m_review_files/i1050000.jpg
 

99. 

(a) Calculate the speed of a proton with mass 1.67 ´ 10–27 kg, travelling a circular path through a radius of 8.0 cm, in a plane perpendicular to a 4.2-T magnetic field.
(b) What potential difference would be required to accelerate the proton from rest in a vacuum to this speed?
 

100. 

At what distance from a straight conductor, carrying a current of 15.0 A, is the magnitude of the magnetic field 9.4 ´ 10–6 T?
 



 
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