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Internal battery resistance: The emf and the internal resistance of a battery are as shown in the figure. If a current of 8.3 A is drawn from the battery when a resistor R is connected across the terminals ab of the battery, what is the power dissipated by the resistor R? Internal battery resistance: The emf and the internal resistance of a battery are as shown in the figure. If a current of 8.3 A is drawn from the battery when a resistor R is connected across the terminals ab of the battery, what is the power dissipated by the resistor R?   A)  440 W B)  700 W C)  620 W D)  530 W E)  790 W


A) 440 W
B) 700 W
C) 620 W
D) 530 W
E) 790 W

F) A) and D)
G) A) and E)

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Electric field in a wire: A narrow copper wire of length L and radius b is attached to a wide copper wire of length L and radius 2b, forming one long wire of length 2L. This long wire is attached to a battery, and a current is flowing through it. If the electric field in the narrow wire is E, the electric field in the wide wire is


A) E.
B) 2E.
C) 4E.
D) E/2.
E) E/4.

F) B) and C)
G) A) and C)

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Current: The current in a wire varies with time according to the equation I(t) = 6.00 A + ( 4.80 A/s)t, where t is in seconds. How many coulombs of charge pass a cross section of the wire in the time period between t = 0.00 s and Current: The current in a wire varies with time according to the equation I(t) = 6.00 A + ( 4.80 A/s)t, where t is in seconds. How many coulombs of charge pass a cross section of the wire in the time period between t = 0.00 s and

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Internal battery resistance: The emf and the internal resistance of a battery are shown in the figure. If a current of 7.8 A is established through the battery from b to a, what is the terminal voltage Vab of the battery? Internal battery resistance: The emf and the internal resistance of a battery are shown in the figure. If a current of 7.8 A is established through the battery from b to a, what is the terminal voltage V<sub>ab</sub> of the battery?   A)  -30 V B)  80 V C)  30 V D)  -80 V E)  zero


A) -30 V
B) 80 V
C) 30 V
D) -80 V
E) zero

F) A) and C)
G) D) and E)

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Power: A certain electric furnace consumes 24 kW when it is connected to a 240-V line. What is the resistance of the furnace?


A) 1.0 kΩ
B) 10 Ω
C) 2.4 Ω
D) 0.42 Ω
E) 100 Ω

F) D) and E)
G) A) and E)

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Current density: A certain fuse "blows" if the current in it exceeds 1.0 A, at which instant the fuse melts with a current density of Current density: A certain fuse  blows  if the current in it exceeds 1.0 A, at which instant the fuse melts with a current density of   What is the diameter of the wire in the fuse? A)  0.45 mm B)  0.63 mm C)  0.68 mm D)  0.91 mm What is the diameter of the wire in the fuse?


A) 0.45 mm
B) 0.63 mm
C) 0.68 mm
D) 0.91 mm

E) A) and B)
F) None of the above

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Power: The resistivity of gold is 2.44 × 10-8 Ω ∙ m at room temperature. A gold wire that is 1.8 mm in diameter and 11 cm long carries a current of 170 mA. How much power is dissipated in the wire?


A) 0.030 mW
B) 0.0076 mW
C) 0.013 mW
D) 0.019 mW
E) 0.025 mW

F) B) and E)
G) All of the above

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Drift velocity: When electric current is flowing in a metal, the electrons are moving


A) at nearly the speed of light.
B) at the speed of light.
C) at the speed of sound in the metal.
D) at the speed of sound in air.
E) at none of the above speeds.

F) B) and E)
G) None of the above

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Current: In a certain electroplating process gold is deposited by using a current of 14.0 A for 19 minutes. A gold ion, Au+, has a mass of approximately 3.3 × 10-22 g. How many grams of gold are deposited by this process?


A) 33 g
B) 16 g
C) 22 g
D) 28 g
E) 97 g

F) C) and E)
G) B) and C)

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Drift velocity: The figure shows two connected wires that are made of the same material. The current entering the wire on the left is 2.0 A and in that wire the electron drift speed is vd. What is the electron drift speed in the wire on the right side? Drift velocity: The figure shows two connected wires that are made of the same material. The current entering the wire on the left is 2.0 A and in that wire the electron drift speed is v<sub>d</sub>. What is the electron drift speed in the wire on the right side?   A)  4v<sub>d</sub> B)  2v<sub>d</sub> C)  v<sub>d</sub> D)  v<sub>d</sub>/2 E)  v<sub>d</sub>/4


A) 4vd
B) 2vd
C) vd
D) vd/2
E) vd/4

F) D) and E)
G) B) and E)

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Resistivity and temperature: A Nichrome wire is used as a heating element in a toaster. From the moment the toaster is first turned on to the moment the wire reaches it maximum temperature, the current in the wire drops by 20.0% from its initial value. What is the temperature change in the wire? The temperature coefficient of resistivity for Nichrome is 0.000400 (°C) -1.


A) 200°C
B) 400°C
C) 500°C
D) 625°C
E) 300°C

F) D) and E)
G) B) and D)

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Ohm's law: Two cables of the same length are made of the same material, except that one cable has twice the diameter of the other cable. When the same potential difference is maintained across both cables, which of the following statements are true? (There may be more than one correct choice.)


A) The same current flows through both cables.
B) Both cables carry the same current density.
C) The electrons have the same drift velocity in both cables.
D) The current in the thin cable is twice as great as the current in the thick cable.
E) The current in the thin cable is four times as great as the current in the thick cable.

F) A) and B)
G) B) and E)

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Internal battery resistance: The emf and the internal resistance of a battery are as shown in the figure. When the terminal voltage Vab is equal to 17.4 V, what is the current through the battery, including its direction? Internal battery resistance: The emf and the internal resistance of a battery are as shown in the figure. When the terminal voltage V<sub>ab</sub> is equal to 17.4 V, what is the current through the battery, including its direction?   A)  6.8 A, from b to a B)  8.7 A, from b to a C)  6.8 A, from a to b D)  8.7 A, from a to b E)  16 A, from b to a


A) 6.8 A, from b to a
B) 8.7 A, from b to a
C) 6.8 A, from a to b
D) 8.7 A, from a to b
E) 16 A, from b to a

F) A) and E)
G) C) and D)

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Power: A light bulb is connected to a 110-V source. What is the resistance of this bulb if it is a 100-W bulb?


A) 100 Ω
B) 8.0 mΩ
C) 6.0 mΩ
D) 120 Ω
E) 240 Ω

F) A) and B)
G) C) and E)

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Resistivity and temperature: The temperature coefficient of resistivity for copper is 0.0068 (C°) -1. If a copper wire has a resistance of 104 Ω at 20°C, what is its resistance 80°C?


A) 192 Ω
B) 42 Ω
C) 71 Ω
D) 161 Ω
E) 146 Ω

F) B) and D)
G) B) and E)

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Current density: If a current of 2.4 A is flowing in a cylindrical wire of diameter 2.0 mm, what is the average current density in this wire?


A) 7.6 × 105 A/m2
B) 5.2 × 10-6 A/m2
C) 1.9 × 105 A/m2
D) 3.6 × 105 A/m2
E) 21 × 10-6 A/m2

F) A) and D)
G) B) and E)

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Drift velocity: The figure shows a steady electric current passing through a wire with a narrow region. What happens to the drift velocity of the moving charges as they go from region A to region B and then to region C? Drift velocity: The figure shows a steady electric current passing through a wire with a narrow region. What happens to the drift velocity of the moving charges as they go from region A to region B and then to region C?   A)  The drift velocity decreases from A to B and increases from B to C. B)  The drift velocity increases all the time. C)  The drift velocity remains constant. D)  The drift velocity decreases all the time. E)  The drift velocity increases from A to B and decreases from B to C.


A) The drift velocity decreases from A to B and increases from B to C.
B) The drift velocity increases all the time.
C) The drift velocity remains constant.
D) The drift velocity decreases all the time.
E) The drift velocity increases from A to B and decreases from B to C.

F) A) and C)
G) A) and B)

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Basics of ac circuits: A 500-W device is connected to a 230-V ac power source. What rms current flows through this device?


A) 290 A
B) 2.2 A
C) 330 A
D) 230 A
E) 3.1 A

F) A) and D)
G) A) and C)

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Basics of ac circuits: A 500-W device is connected to a 230-V ac power source. What peak current flows through this device?


A) 2.2 A
B) 330 A
C) 3.1 A
D) 290 A
E) 230 A

F) C) and E)
G) C) and D)

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Drift velocity: Building codes usually limit the current carried by a 1.6-mm diameter copper wire to 15 A. Many household circuits are wired with this size wire. What is the drift velocity of the electrons in this case?. Assume one conduction electron per atom in copper. The atomic weight of copper is 63.3 g/mol and its density is 8900 kg/m3. Avogadro's number is 6.022 × 1023 molecules/mol and e = 1.60 × 10-19 C.


A) 5.51 × 10-4 m/s
B) 4.56 × 10-4 m/s
C) 1.65 × 10-3 m/s
D) 4.44 × 10-2 m/s
E) 4.89 × 10-5 m/s

F) A) and E)
G) All of the above

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