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What is the resistance of 1.0 m of a solid cylindrical metal cable having a diameter of 0.40 inches and a resistivity of 1.68 × 10-8 Ω ∙ m?


A) 0.00012 Ω
B) 0.00021 Ω
C) 0.0012 Ω
D) 0.0021 Ω

E) B) and D)
F) B) and C)

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The resistivity of the material of a wire is 1.76 × 10-8 Ω ∙ m.If the diameter of the wire is 2.00 mm and its length is 2.00 m,what is its resistance?


A) 112 Ω
B) 11.2 Ω
C) 1.12 Ω
D) 0.112 Ω
E) 0.0112 Ω

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

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Consider two copper wires with circular cross-sections and equal lengths.One wire has 3 times the diameter of the other.How do the resistances of these two wires compare?


A) The thicker wire has 1/3 the resistance of the thinner wire.
B) The thicker wire has 1/9 the resistance of the thinner wire.
C) The thicker wire has 3 times the resistance of the thinner wire.
D) The thicker wire has 9 times the resistance of the thinner wire.
E) The thicker wire has Consider two copper wires with circular cross-sections and equal lengths.One wire has 3 times the diameter of the other.How do the resistances of these two wires compare? A) The thicker wire has 1/3 the resistance of the thinner wire. B) The thicker wire has 1/9 the resistance of the thinner wire. C) The thicker wire has 3 times the resistance of the thinner wire. D) The thicker wire has 9 times the resistance of the thinner wire. E) The thicker wire has   times the resistance of the thinner wire. times the resistance of the thinner wire.

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

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A 1.0-μF capacitor is charged until it acquires a potential difference of 900.0 V. Across its plates,and then the emf source is removed.If the capacitor is then discharged through a 500.0-kΩ. Resistance,what is the voltage drop across the capacitor 9.0 ms. After beginning the discharge?


A) 880 V
B) 920 V
C) 16 V
D) -16 V

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

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What is the potential drop from point A to point B for the circuit shown in the figure? The battery is ideal,and all the numbers are accurate to two significant figures. What is the potential drop from point A to point B for the circuit shown in the figure? The battery is ideal,and all the numbers are accurate to two significant figures.   A) 0.35 V B) 2.0 V C) 2.5 V D) 3.0 V


A) 0.35 V
B) 2.0 V
C) 2.5 V
D) 3.0 V

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

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When 5.00 A is flowing through an 10.0-Ω device,how much power is being dissipated in the device?


A) 50.0 W
B) 250 W
C) 500 W
D) 2.50 kW

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

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The network shown is assembled with uncharged capacitors X ,Y,and Z,with The network shown is assembled with uncharged capacitors X ,Y,and Z,with     And   The switches S<sub>1</sub> and S<sub>2</sub> are initially open,and a potential difference V<sub>ab</sub> = 120 V is applied between points a and b.After the network is assembled,switch S<sub>1</sub> is then closed,but switch S<sub>2</sub> is kept open.What is the final potential difference across capacitor Z?   A) 100 V B) 600 V C) 55 V D) 38 V E) 29 V The network shown is assembled with uncharged capacitors X ,Y,and Z,with     And   The switches S<sub>1</sub> and S<sub>2</sub> are initially open,and a potential difference V<sub>ab</sub> = 120 V is applied between points a and b.After the network is assembled,switch S<sub>1</sub> is then closed,but switch S<sub>2</sub> is kept open.What is the final potential difference across capacitor Z?   A) 100 V B) 600 V C) 55 V D) 38 V E) 29 V And The network shown is assembled with uncharged capacitors X ,Y,and Z,with     And   The switches S<sub>1</sub> and S<sub>2</sub> are initially open,and a potential difference V<sub>ab</sub> = 120 V is applied between points a and b.After the network is assembled,switch S<sub>1</sub> is then closed,but switch S<sub>2</sub> is kept open.What is the final potential difference across capacitor Z?   A) 100 V B) 600 V C) 55 V D) 38 V E) 29 V The switches S1 and S2 are initially open,and a potential difference Vab = 120 V is applied between points a and b.After the network is assembled,switch S1 is then closed,but switch S2 is kept open.What is the final potential difference across capacitor Z? The network shown is assembled with uncharged capacitors X ,Y,and Z,with     And   The switches S<sub>1</sub> and S<sub>2</sub> are initially open,and a potential difference V<sub>ab</sub> = 120 V is applied between points a and b.After the network is assembled,switch S<sub>1</sub> is then closed,but switch S<sub>2</sub> is kept open.What is the final potential difference across capacitor Z?   A) 100 V B) 600 V C) 55 V D) 38 V E) 29 V


A) 100 V
B) 600 V
C) 55 V
D) 38 V
E) 29 V

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

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Three capacitors are connected as shown in the figure.What is the equivalent capacitance between points A and B? Three capacitors are connected as shown in the figure.What is the equivalent capacitance between points A and B?   A) 12 μF B) 4.0 μC C) 7.1 μF D) 1.7 μF E) 8.0 μF


A) 12 μF
B) 4.0 μC
C) 7.1 μF
D) 1.7 μF
E) 8.0 μF

F) All of the above
G) C) and D)

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For the circuit shown in the figure,C = 13 µF and R = 7.6 MΩ.Initially the switch S is open with the capacitor charged to a voltage of 80 V.The switch is then closed at time t = 0.00 s.What is the charge on the capacitor 40 s after closing the switch? For the circuit shown in the figure,C = 13 µF and R = 7.6 MΩ.Initially the switch S is open with the capacitor charged to a voltage of 80 V.The switch is then closed at time t = 0.00 s.What is the charge on the capacitor 40 s after closing the switch?   A) 3,300 µC B) 3,100 µC C) 2,900 µC D) 2,700 µC E) 2,500 µC


A) 3,300 µC
B) 3,100 µC
C) 2,900 µC
D) 2,700 µC
E) 2,500 µC

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

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A resistor is made out of a wire having a length L.When the ends of the wire are attached across the terminals of an ideal battery having a constant voltage V0 across its terminals,a current I flows through the wire.If the wire were cut in half,making two wires of length L/2,and both wires were attached across the terminals of the battery (the right ends of both wires attached to one terminal,and the left ends attached to the other terminal) ,how much current would the battery put out?


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

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

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In the circuit shown in the figure,R1 = 10 Ω,R2 = 12 Ω,R3 = 20 Ω,V1 = 1.0 V,V2 = 7.0 V,and the batteries are both ideal.What is the current through R1? In the circuit shown in the figure,R<sub>1</sub> = 10 Ω,R<sub>2</sub> = 12 Ω,R<sub>3</sub> = 20 Ω,V<sub>1</sub> = 1.0 V,V<sub>2</sub> = 7.0 V,and the batteries are both ideal.What is the current through R<sub>1</sub>?   A) 0.60 A B) 0.80 A C) 0.18 A D) 0.13 A


A) 0.60 A
B) 0.80 A
C) 0.18 A
D) 0.13 A

E) B) and D)
F) B) and C)

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What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures. What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures.   A) 950 Ω B) 450 Ω C) 392 Ω D) 257 Ω


A) 950 Ω
B) 450 Ω
C) 392 Ω
D) 257 Ω

E) A) and D)
F) B) and C)

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For the graph shown in the figure,what physical quantity does the slope of the graph represent for a dc circuit? For the graph shown in the figure,what physical quantity does the slope of the graph represent for a dc circuit?   A) resistivity B) resistance C) energy D) current E) capacitance


A) resistivity
B) resistance
C) energy
D) current
E) capacitance

F) B) and D)
G) B) and C)

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Three resistors with resistances of 2.0 Ω,6.0 Ω,and 12 Ω are connected across an ideal dc voltage source V,as shown in the figure.If the total current in the circuit is I = 5.0 A,what is the current through the 12-Ω resistor? Three resistors with resistances of 2.0 Ω,6.0 Ω,and 12 Ω are connected across an ideal dc voltage source V,as shown in the figure.If the total current in the circuit is I = 5.0 A,what is the current through the 12-Ω resistor?   A) 1.7 A B) 2.5 A C) 0.56 A D) 5.0 A E) 0.75 A


A) 1.7 A
B) 2.5 A
C) 0.56 A
D) 5.0 A
E) 0.75 A

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

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When unequal resistors are connected in series across an ideal battery,


A) the same power is dissipated in each one.
B) the potential difference across each is the same.
C) the current flowing in each is the same.
D) the equivalent resistance of the circuit is less than that of the smallest resistor.
E) the equivalent resistance of the circuit is equal to the average of all the resistances.

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

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A capacitor C is connected in series with a resistor R across a battery and an open switch.If a second capacitor of capacitance 2C is connected in series with the first one,the time constant of the new RC circuit will be


A) the same as before.
B) larger than before.
C) smaller than before.
D) variable.

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

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A kilowatt-hour is equivalent to


A) 1000 W.
B) 3600 J.
C) 3,600,000 J/s.
D) 3,600,000 J.
E) 3600 J/s.

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

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A 120-Ω laboratory resistor is rated at 0.25 W.How much current can safely flow through the resistor?


A) 30 A
B) 2.1 mA
C) 22 mA
D) 46 mA

E) None of the above
F) C) and D)

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The figure shows conventional current passing through a resistor.The arrow shows the direction in which this conventional current is flowing.Which of the following statements are correct? (There could be more than one correct choice. ) The figure shows conventional current passing through a resistor.The arrow shows the direction in which this conventional current is flowing.Which of the following statements are correct? (There could be more than one correct choice. )    A) The charges are moving slower at point b than at point a. B) The electric potential is lower at point b than at point a. C) The electric potential is higher at point b than at point a. D) The current at point b is the same as the current at point a. E) The electric potential at point b is the same as it is at point a.


A) The charges are moving slower at point b than at point a.
B) The electric potential is lower at point b than at point a.
C) The electric potential is higher at point b than at point a.
D) The current at point b is the same as the current at point a.
E) The electric potential at point b is the same as it is at point a.

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

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A simple circuit has a total resistance of 30 Ω.If a 2.0-A current is maintained in this circuit,how much energy is dissipated in this circuit in 4.0 seconds?


A) 24 J
B) 4.8 J
C) 48 J
D) 480 J
E) 6.0 J

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

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