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Electricity & Magnetism
Name:__________________________________________________Date:__________________Period:_____
June 2014 (16 ques.)
11 An electron moving at constant speed produces
(1) a magnetic field, only (3) both a magnetic and an electric field
(2) an electric field, only (4) neither a magnetic nor an electric field
12 A beam of electrons passes through an electric field where the magnitude of the electric field
strength is 3.00 × 103 newtons per coulomb. What is the magnitude of the electrostatic force exerted by the
electric field on each electron in the beam?
(1) 5.33 × 10−23
N (2) 4.80 × 10−16
N (3) 3.00 × 103 N (4) 1.88 × 10
22 N
13 How much work is required to move 3.0 coulombs of electric charge a distance of
0.010 meter through a potential difference of 9.0 volts?
(1) 2.7 × 103 J (2) 27 J (3) 3.0 J (4) 3.0 × 10
−2 J
14 What is the resistance of a 20.0-meter-long tungsten rod with a cross-sectional area of 1.00 × 10−4
meter2 at
20°C?
(1) 2.80 × 10−5
Ω (2) 1.12 × 10−2
Ω (3) 89.3 Ω (4) 112 Ω
22 An MP3 player draws a current of 0.120 ampere from a 3.00-volt battery. What is the total charge that passes
through the player in 900. seconds?
(1) 324 C (2) 108 C (3) 5.40 C (4) 1.80 C
32 Two identically-sized metal spheres, A and B, are on insulating stands, as shown in the diagram below.
Sphere A possesses an excess of 6.3 × 1010
electrons and sphere B is neutral.
Which diagram best represents the charge distribution on sphere B?
33 Two points, A and B, are located within the electric field produced by a −3.0 nanocoulomb charge. Point A
is 0.10 meter to the left of the charge and point B is 0.20 meter to the right of the charge, as shown in the
diagram below.
Compared to the magnitude of the electric field strength at point A, the magnitude of the electric field
strength at point B is
(1) half as great (2) twice as great (3) one-fourth as great (4) four times as great
37 Two identically-sized metal spheres on insulating stands are positioned as shown below. The charge on sphere
A is −4.0 × 10−6 coulomb and the charge on sphere B is −8.0 × 10−6 coulomb.
The two spheres are touched together and then separated. The total number of excess electrons on sphere A after
the separation is
(1) 2.5 × 1013
(2) 3.8 × 1013
(3) 5.0 × 1013
(4) 7.5 × 1013
39 Which combination of units can be used to express electrical energy?
(3) volt•coulomb
(4) volt•coulomb•second
40 The total amount of electrical energy used by a 315-watt television during 30.0 minutes of operation is
(1) 5.67 × 105 J (2) 9.45 × 10
3J (3) 1.05 × 10
1 J (4) 1.75 × 10
-1 J
62 Regardless of the method used to generate electrical energy, the amount of energy provided by the
source is always greater than the amount of electrical energy produced. Explain why there is a
difference between the amount of energy provided by the source and the amount of electrical energy
produced. [1]
Base your answers to questions 66 through 70 on the information below and on your knowledge of physics.
A student constructed a series circuit consisting of a 12.0-volt battery, a 10.0-ohm lamp, and a resistor. The circuit
does not contain a voltmeter or an ammeter. When the circuit is operating, the total current through the circuit is
0.50 ampere. 66 In the space in your answer booklet, draw a diagram of the series circuit constructed to operate the
lamp, using symbols from the Reference Tables for Physical Setting/Physics. [1]
67 Determine the equivalent resistance of the circuit. [1]
68 Determine the resistance of the resistor. [1]
69–70 Calculate the power consumed by the lamp. [Show all work, including the equation and substitution
with the units.] [2]
June 2013 (14 ques.)
23 A dry plastic rod is rubbed with wool cloth and then held near a thin stream of water from a faucet. The
path of the stream of water is changed, as represented in the diagram below.
27 The electronvolt is a unit of
(1) energy (2) charge (3) electric field strength (4) electric potential difference
Which force causes the path of the stream of
water to change due to the plastic rod?
(1) nuclear
(2) magnetic
(3) electrostatic
(4) gravitational
28 Which particle would produce a magnetic field?
(1) a neutral particle moving in a straight line (3) a stationary charged particle
(2) a neutral particle moving in a circle (4) a moving charged particle
30 Moving 4.0 coulombs of charge through a circuit requires 48 joules of electric energy. What is the
potential difference across this circuit?
(1) 190 V (2) 48 V (3) 12 V 4) 4.0 V
31 The diagram below shows currents in a segment of an electric circuit.
32 An electric dryer consumes 6.0 × 106 joules of electrical energy when operating at 220 volts for 1.8 × 10
3
seconds. During operation, the dryer draws a current of
(1) 10. A (2) 15 A (3) 9.0 × 102 A (4) 3.3 × 10
3 A
33 Which net charge could be found on an object?
(1) +4.80 × 10−19
C (2) +2.40 × 10−19
C (3) −2.40 × 10−19
C (4) −5.60 × 10−19
C
41 An electron is located in an electric field of magnitude 600. newtons per coulomb. What is the magnitude
of the electrostatic force acting on the electron?
(1) 3.75 × 1021
N (2) 6.00 × 102 N (3) 9.60 × 10
−17 N (4) 2.67 × 10
−22 N
42 The current in a wire is 4.0 amperes. The time required for 2.5 × 1019
electrons to pass a certain point
in the wire is
(1) 1.0 s (2) 0.25 s (3) 0.50 s (4) 4.0 s
43 When two point charges of magnitude q1 and q2 are separated by a distance, r, the magnitude of
the electrostatic force between them is F. What would be the magnitude of the electrostatic force between point
charges 2q1 and 4q2 when separated by a distance of 2r?
(1) F (2) 2F (3) 16F (4) 4F
46 Which diagram represents the electric field between two oppositely charged conducting spheres?
What is the reading of ammeter A?
(1) 1 A
(2) 5 A
(3) 9 A
(4) 15 A
Base your answers to questions 60 through 62 on the information below. A 20.-ohm resistor, R1, and a resistor of
unknown resistance, R2, are connected in parallel to a 30.-volt source, as shown in the circuit diagram below. An
ammeter in the circuit reads 2.0 amperes.
60 Determine the equivalent resistance of the circuit. [1]
61–62 Calculate the resistance of resistor R2. [Show all work, including the equation and substitution with
units.] [2]
June 2012 (14 ques.)
15 Which change decreases the resistance of a piece of copper wire?
(1) increasing the wire’s length (3) decreasing the wire’s temperature
(2) increasing the wire’s resistivity (4) decreasing the wire’s diameter
18 Two electrons are separated by a distance of 3.00 × 10−6
meter. What are the magnitude and direction of the
electrostatic forces each exerts on the other?
(1) 2.56 × 10−17
N away from each other (3) 7.67 × 10−23
N away from each other
(2) 2.56 × 10−17
N toward each other (4) 7.67 × 10−23
N toward each other
19 Which object will have the greatest change in electrical energy?
(1) an electron moved through a potential difference of 2.0 V
(2) a metal sphere with a charge of 1.0 × 10−9
C moved through a potential difference of 2.0 V
(3) an electron moved through a potential difference of 4.0 V
(4) a metal sphere with a charge of 1.0 × 10−9
C moved through a potential difference of 4.0 V
20 The resistance of a circuit remains constant. Which graph best represents the relationship between the current in
the circuit and the potential difference provided by the battery?
22 The watt•second is a unit of
(1) power (2) energy (3) potential difference (4) electric field strength
25 A 3-ohm resistor and a 6-ohm resistor are connected in parallel across a 9-volt battery. Which statement best
compares the potential difference across each resistor?
(1) The potential difference across the 6-ohm resistor is the same as the potential difference across the 3-ohm
resistor.
(2) The potential difference across the 6-ohm resistor is twice as great as the potential difference across the 3-ohm
resistor.
(3) The potential difference across the 6-ohm resistor is half as great as the potential difference across the 3-ohm
resistor.
(4) The potential difference across the 6-ohm resistor is four times as great as the potential difference across the
3-ohm resistor.
26 A 3.6-volt battery is used to operate a cell phone for 5.0 minutes. If the cell phone dissipates 0.064 watt of
power during its operation, the current that passes through the phone is
(1) 0.018 A (2) 5.3 A (3) 19 A (4) 56 A
28 A 3.00 × 10−9
coulomb test charge is placed near a negatively charged metal sphere. The sphere exerts an
electrostatic force of magnitude 6.00 × 10−5
newton on the test charge. What is the magnitude and direction of the
electric field strength at this location?
(1) 2.00 × 104 N/C directed away from the sphere (3) 5.00 × 10
−5 N/C directed away from the sphere
(2) 2.00 × 104 N/C directed toward the sphere (4) 5.00 × 10
−5 N/C directed toward the sphere
30 A small object is dropped through a loop of wire connected to a sensitive ammeter on the edge of a table, as
shown in the diagram below.
41 What is the current in a wire if 3.4 × 1019
electrons pass by a point in this wire every 60. seconds?
(1) 1.8 × 10−18
A (2) 3.1 × 10−11
A (3) 9.1 × 10−2
A (4) 11 A
43 To increase the brightness of a desk lamp, a student replaces a 50-watt incandescent lightbulb with a 100-watt
incandescent lightbulb. Compared to the 50-watt lightbulb, the 100-watt lightbulb has
(1) less resistance and draws more current (3) more resistance and draws more current
(2) less resistance and draws less current (4) more resistance and draws less current
48 In which diagram do the field lines best represent the gravitational field around Earth?
Base your answers to questions 60 through 63 on the information below.
A 15-ohm resistor and a 20.-ohm resistor are connected in parallel with a 9.0-volt battery. A single ammeter is
connected to measure the total current of the circuit.
60–61 In the space below, draw a diagram of this circuit using symbols from the Reference Tables for Physical
Setting/Physics. [Assume the availability of any number of wires of negligible resistance.] [2]
A reading on the ammeter is most likely
produced when the object falling through the
loop of wire is a
(1) flashlight battery
(2) bar magnet
(3) brass mass
(4) plastic ruler
62–63 Calculate the equivalent resistance of the circuit. [Show all work, including the equation and substitution
with units.] [2]
June 2011 (17 ques.)
10 What is the power output of an electric motor that lifts a 2.0-kilogram block 15 meters vertically in 6.0
seconds?
(1) 5.0 J (2) 5.0 W (3) 49 J (4) 49 W
15 Which diagram represents the electric field lines between two small electrically charged spheres?
17 Two metal spheres, A and B, possess charges of 1.0 microcoulomb and 2.0 microcoulombs, respectively.
In the diagram below, arrow F represents the electrostatic force exerted on sphere B by sphere A.
Which arrow represents the magnitude and direction of the electrostatic force exerted on sphere A by sphere B?
18 The diagram below represents a positively charged particle about to enter the electric field between two
oppositely charged parallel plates.
The electric field will deflect the particle
(1) into the page (3) toward the top of the page
(2) out of the page (4) toward the bottom of the page
19 What is the total amount of work required to move a proton through a potential difference of 100. volts?
(1) 1.60 x 10–21
J (2) 1.60 x 10–17
J (3) 1.00 x 102 J (4) 6.25 x 10
20 J
20 What is the current through a wire if 240 coulombs of charge pass through the wire in 2.0 minutes?
(1) 120 A (2) 2.0 A (3) 0.50 A (4) 0.0083 A
21 An electric circuit consists of a variable resistor connected to a source of constant potential
difference. If the resistance of the resistor is doubled, the current through the resistor is
(1) halved (2) doubled (3) quartered (4) quadrupled
22 Circuit A has four 3.0-ohm resistors connected in series with a 24-volt battery, and circuit B has two
3.0-ohm resistors connected in series with a 24-volt battery. Compared to the total potential drop across
circuit A, the total potential drop across circuit B is
(1) one-half as great (2) twice as great (3) the same (4) four times as great
23 How much total energy is dissipated in 10. Seconds in a 4.0-ohm resistor with a current of 0.50 ampere?
(1) 2.5 J (2) 5.0 J (3) 10. J (4) 20. J
24 Moving a length of copper wire through a magnetic field may cause the wire to have a
(1) potential difference across it (3) lower resistivity
(2) lower temperature (4) higher resistance
40 The diagram below shows the arrangement of three small spheres, A, B, and C, having charges
of 3q, q, and q, respectively. Spheres A and C are located distance r from sphere B.
Compared to the magnitude of the electrostatic force exerted by sphere B on sphere C, the
magnitude of the electrostatic force exerted by sphere A on sphere C is
(1) the same (2) twice as great (3) 3/4 as great (4) 3/2 as great
43 Two parallel metal plates are connected to a variable source of potential difference. When the potential
difference of the source is increased, the magnitude of the electric field strength between the plates
increases. The diagram below shows an electron located between the plates.
Which graph represents the relationship between the magnitude of the electrostatic force on the electron
and the magnitude of the electric field strength between the plates?
44 The diagram below represents a circuit consisting of two resistors connected to a source
of potential difference.
What is the current through the 20.-ohm resistor?
(1) 0.25 A (3) 12 A
(2) 6.0 A (4) 4.0 A
45 The diagram below shows the magnetic field lines between two magnetic poles, A and B.
Which statement describes the polarity of magnetic poles A and B?
(1) A is a north pole and B is a south pole.
(2) A is a south pole and B is a north pole.
(3) Both A and B are north poles.
(4) Both A and B are south poles.
58 A simple circuit consists of a 100.-ohm resistor connected to a battery. A 25-ohm resistor is to be connected
in the circuit. Determine the smallest equivalent resistance possible when both resistors are connected to the
battery. [1]
Base your answers to questions 74 through 76 on the information and diagram below.
A circuit contains a 12.0-volt battery, an ammeter, a variable resistor, and connecting wires of
negligible resistance, as shown below.
The variable resistor is a nichrome wire, maintained at 20.°C. The length of the nichrome wire
may be varied from 10.0 centimeters to 90.0 centimeters. The ammeter reads 2.00 amperes when
the length of the wire is 10.0 centimeters.
74 Determine the resistance of the 10.0-centimeter length of nichrome wire. [1]
75–76 Calculate the cross-sectional area of the nichrome wire. [Show all work, including the equation and
substitution with units.] [2]
June 2010 (13 ques.)
18 An electric heater operating at 120. volts draws 8.00 amperes of current through its 15.0 ohms of
resistance. The total amount of heat energy produced by the heater in 60.0 seconds is
(1) 7.20 × 103 J ( 2) 5.76 × 10
4 J (3) 8.64 × 10
4 J (4) 6.91 × 10
6 J
19 Magnetic fields are produced by particles that are
(1) moving and charged (2) moving and neutral (3) stationary and charged (4) stationary and neutral
20 A charge of 30. coulombs passes through a 24-ohm resistor in 6.0 seconds. What is the current through the
resistor?
(1) 1.3 A (2) 5.0 A (3) 7.5 A (4) 4.0 A
21 What is the magnitude of the electrostatic force between two electrons separated by a distance of
1.00 × 10–8
meter?
(1) 2.56 × 10–22
N (2) 2.30 × 10–20
N (3) 2.30 × 10–12
N (4) 1.44 × 10–1
N
22 The diagram below represents the electric field surrounding two charged spheres, A and B.
23 Which circuit has the smallest equivalent resistance?
What is the sign of the charge of each sphere?
(1) Sphere A is positive and sphere B is negative.
(2) Sphere A is negative and sphere B is positive.
(3) Both spheres are positive.
(4) Both spheres are negative.
37 Which electrical unit is equivalent to one joule?
(1) volt per meter (2) ampere•volt (3) volt per coulomb (4) coulomb•volt
41 The graph below represents the relationship between the current in a metallic conductor and the potential
difference across the conductor at constant temperature.
45 The circuit diagram below represents four resistors connected to a 12-volt source.
46 Which graph best represents the relationship between the power expended by a resistor that obeys Ohm’s
Law and the potential difference applied to the resistor?
The resistance of the conductor is
(1) 1.0 Ω
(2) 2.0 Ω
(3) 0.50 Ω
(4) 4.0 Ω
What is the total current in the circuit?
(1) 0.50 A
(2) 2.0 A
(3) 8.6 A
(4) 24 A
55 A 6-ohm resistor and a 4-ohm resistor are connected in series with a 6-volt battery in an operating electric
circuit. A voltmeter is connected to measure the potential difference across the 6-ohm resistor.
In the space below, draw a diagram of this circuit including the battery, resistors, and voltmeter using symbols
from the Reference Tables for Physical Setting/Physics. Label each resistor with its value. [Assume the
availability of any number of wires of negligible resistance.] [2]
Base your answers to questions 57 and 58 on the information below.
A 3.50-meter length of wire with a crosssectional area of 3.14 × 10–6 meter2 is at 20° Celsius. The current in the
wire is 24.0 amperes when connected to a 1.50-volt source of potential difference.
57 Determine the resistance of the wire. [1]
58 Calculate the resistivity of the wire. [Show all work, including the equation and substitution with units.] [2]
June 2009 (13ques.)
17 A distance of 1.0 meter separates the centers of two small charged spheres. The spheres exert gravitational
force Fg and electrostatic force Fe on each other. If the distance between the spheres’ centers is increased to 3.0
meters, the gravitational force and electrostatic force, respectively, may be represented as
18 The electrical resistance of a metallic conductor is inversely proportional to its
(1) temperature (3) cross-sectional area
(2) length (4) resistivity
19 In a simple electric circuit, a 24-ohm resistor is connected across a 6.0-volt battery. What is the
current in the circuit?
(1) 1.0 A (2) 0.25 A (3) 140 A (4) 4.0 A
20 An operating 100.-watt lamp is connected to a 120-volt outlet. What is the total electrical energy
used by the lamp in 60. seconds?
(1) 0.60 J (2) 1.7 J (3) 6.0 × 103 J (4) 7.2 × 10
3 J
21 A beam of electrons is directed into the electric field between two oppositely charged parallel
plates, as shown in the diagram below.
The electrostatic force exerted on the electrons by the electric field is directed
(1) into the page (3) toward the bottom of the page
(2) out of the page (4) toward the top of the page
22 When two ring magnets are placed on a pencil, magnet A remains suspended above magnet B,
as shown below.
45 A constant potential difference is applied across a variable resistor held at constant temperature. Which graph
best represents the relationship between the resistance of the variable resistor and the current through it?
Which statement describes the gravitational force and the
magnetic force acting on magnet A due to magnet B?
(1) The gravitational force is attractive and the
magnetic force is repulsive.
(2) The gravitational force is repulsive and the
magnetic force is attractive.
(3) Both the gravitational force and the magnetic
force are attractive.
(4) Both the gravitational force and the magnetic
force are repulsive.
46 A 3.0-ohm resistor and a 6.0-ohm resistor are connected in series in an operating electric circuit. If the current
through the 3.0-ohm resistor is 4.0 amperes, what is the potential difference across the 6.0-ohm resistor?
(1) 8.0 V (2) 2.0 V (3) 12 V (4) 24 V
47 Which combination of resistors has the smallest equivalent resistance?
53 Two oppositely charged parallel metal plates, 1.00 centimeter apart, exert a force with a magnitude of
3.60 × 10–15
newton on an electron placed between the plates. Calculate the magnitude of the electric field strength
between the plates. [Show all work, including the equation and substitution with units.] [2]
54 On the diagram below, sketch at least four electric field lines with arrowheads that represent the electric field
around a negatively charged conducting sphere. [1]
55 In the space below, draw a diagram of an operating circuit that includes:
• a battery as a source of potential difference
• two resistors in parallel with each other
• an ammeter that reads the total current in the circuit [2]
56 Calculate the resistance of a 900.-watt toaster operating at 120 volts. [Show all work, including the equation
and substitution with units.] [2]
January 2009 (21 ques.)
15 If 20 joules of work is used to transfer 20 coulombs of charge through a 20-ohm resistor, the potential
difference across the resistor is
(1) 1 V (2) 20 V (3) 0.05 V (4) 400 V
16 At 20°C, four conducting wires made of different materials have the same length and the same
diameter. Which wire has the least resistance?
(1) aluminum (2) gold (3) nichrome (4) tungsten
17 Three identical lamps are connected in parallel with each other. If the resistance of each lamp is X ohms,
what is the equivalent resistance of this parallel combination?
18 A 2.0-ohm resistor and a 4.0-ohm resistor are connected in series with a 12-volt battery. If the
current through the 2.0-ohm resistor is 2.0 amperes, the current through the 4.0-ohm resistor is
(1) 1.0 A (2) 2.0 A (3) 3.0 A (4) 4.0 A
19 The diagram below shows a beam of electrons fired through the region between two oppositely charged
parallel plates in a cathode ray tube.
After passing between the charged plates, the electrons will most likely travel path
(1) A (2) B (3) C (4) D
20 In which circuit would current flow through resistor R1, but not through resistor R2 while switch S is open?
21 The diagram below represents a 0.5-kilogram bar magnet and a 0.7-kilogram bar magnet with a distance of
0.2 meter between their centers.
Which statement best describes the forces between the bar magnets?
(1) Gravitational force and magnetic force are both repulsive.
(2) Gravitational force is repulsive and magnetic force is attractive.
(3) Gravitational force is attractive and magnetic force is repulsive.
(4) Gravitational force and magnetic force are both attractive.
34 If an object has a net negative charge of 4.0 coulombs, the object possesses
(1) 6.3 × 1018
more electrons than protons (3) 6.3 × 1018
more protons than electrons
(2) 2.5 × 1019
more electrons than protons (4) 2.5 × 1019
more protons than electrons
35 Moving electrons are found to exhibit properties of
(1) particles, only
(2) waves, only
(3) both particles and waves
(4) neither particles nor waves
42 In the electric circuit diagram below, possible locations of an ammeter and a voltmeter are indicated by circles
1, 2, 3, and 4.
Where should an ammeter be located to correctly measure the total current and where should a voltmeter be
located to correctly measure the total voltage?
(1) ammeter at 1 and voltmeter at 4
(2) ammeter at 2 and voltmeter at 3
(3) ammeter at 3 and voltmeter at 4
(4) ammeter at 1 and voltmeter at 2
43 What is the current in a 100.-ohm resistor connected to a 0.40-volt source of potential difference?
(1) 250 mA (2) 40. mA (3) 2.5 mA (4) 4.0 mA
44 A 150-watt lightbulb is brighter than a 60.-watt lightbulb when both are operating at a potential difference
of 110 volts. Compared to the resistance of and the current drawn by the 150-watt lightbulb, the 60.-watt
lightbulb has
(1) less resistance and draws more current
(2) less resistance and draws less current
(3) more resistance and draws more current
(4) more resistance and draws less current
45 What is the minimum equipment needed to determine the power dissipated in a resistor of unknown value?
(1) a voltmeter, only
(2) an ammeter, only
(3) a voltmeter and an ammeter, only
(4) a voltmeter, an ammeter, and a stopwatch
52 The diagram below represents two electrons, e1 and e2, located between two oppositely charged parallel plates.
Compare the magnitude of the force exerted by the electric field on e1 to the magnitude of the force exerted by
the electric field on e2. [1]
53 A length of copper wire and a 1.00-meter-long silver wire have the same cross-sectional area and resistance
at 20°C. Calculate the length of the copper wire. [Show all work, including the equation and substitution with
units.] [2]
Base your answers to questions 61 through 63 on the information below.
The centers of two small charged particles are separated by a distance of 1.2 × 10–4
meter.
The charges on the particles are +8.0 × 10–19
coulomb and +4.8 × 10–19
coulomb, respectively.
61 Calculate the magnitude of the electrostatic force between these two particles. [Show all work, including
the equation and substitution with units.] [2]
62 On the axes below, sketch a graph showing the relationship between the magnitude of the
electrostatic force between the two charged particles and the distance between the centers of the particles. [1]
63 On the diagram below, draw at least four electric field lines in the region between the two
positively charged particles. [1]
Base your answers to questions 67 through 69 on the information below.
A 5.0-ohm resistor, a 10.0-ohm resistor, and a 15.0-ohm resistor are connected in parallel with a battery. The
current through the 5.0-ohm resistor is 2.4 amperes.
67 In the space below, using the circuit symbols found in the Reference Tables for Physical
Setting/Physics, draw a diagram of this electric circuit. [1]
68 Calculate the amount of electrical energy expended in the 5.0-ohm resistor in 2.0 minutes. [Show all work,
including the equation and substitution with units.] [2]
69 A 20.0-ohm resistor is added to the circuit in parallel with the other resistors. Describe the effect the
addition of this resistor has on the amount of electrical energy expended in the 5.0-ohm resistor in
2.0 minutes. [1]
