Deck 25: Electric Current and Direct-Current Circuits
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Deck 25: Electric Current and Direct-Current Circuits
1
The forward current for a pn-diode is given by
where I0 and V0 are constants.If I0 = 4 A and V0 = 1.5 V,what is the ratio of the current for V = 2 V to 0.5 V?
A)2.0
B)4.0
C)5.1
D)6.2
E)7.1

A)2.0
B)4.0
C)5.1
D)6.2
E)7.1
7.1
2
Wire A,which is of the same length and material as wire B,has twice the diameter of wire B.If the resistance of wire B is R,what is the resistance of wire A?
A)R
B)2R
C)R/2
D)4R
E)R/4
A)R
B)2R
C)R/2
D)4R
E)R/4
R/4
3
The current in a wire varies with time according to the relation
where I is in amperes and t is in seconds.The number of coulombs that pass a cross section of the wire in the time interval between t = 0 and t = 1/20 s is
A)2
B)4
C)40
D)4
E)zero

A)2
B)4
C)40
D)4
E)zero
4
4
The current in a wire varies with time according to the relation
where I is in amperes and t is in seconds.The number of coulombs of charge that pass a cross section of the wire between t = 3 s and t = 5 s is
A)12
B)48
C)52
D)106
E)305

A)12
B)48
C)52
D)106
E)305
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5
Wire A,which is of the same material and cross-sectional area as wire B,is twice as long as wire B.If the resistance of wire B is R,what is the resistance of wire A?
A)R
B)2R
C)R/2
D)4R
E)R/4
A)R
B)2R
C)R/2
D)4R
E)R/4
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6
Which of the following statements is false?
A)An electric field is needed to produce an electric current.
B)A potential difference between two points is needed to produce an electric current.
C)For a steady current to flow in a wire,the wire must be part of a closed circuit.
D)The electric field is constant along all parts of the circuit when a steady current is flowing.
E)The electric current in a wire is proportional to the drift velocity of the charges.
A)An electric field is needed to produce an electric current.
B)A potential difference between two points is needed to produce an electric current.
C)For a steady current to flow in a wire,the wire must be part of a closed circuit.
D)The electric field is constant along all parts of the circuit when a steady current is flowing.
E)The electric current in a wire is proportional to the drift velocity of the charges.
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7
For copper, = 8.93 g/cm3 and M = 63.5 g/mol.Assuming one free electron per copper atom,what is the drift velocity of electrons in a copper wire of radius 0.435 mm carrying a current of 5 A?
A)5.43 10-4 m/s
B)2.11 10-4 m/s
C)4.67 10-4 m/s
D)6.21 10-4 m/s
E)8.37 10-4 m/s
A)5.43 10-4 m/s
B)2.11 10-4 m/s
C)4.67 10-4 m/s
D)6.21 10-4 m/s
E)8.37 10-4 m/s
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8
The seemingly instantaneous propagation of electric current in a wire when a switch is closed can be understood in terms of
A)the propagation of an electric field down the wire with nearly the speed of light.
B)the acquisition of the drift velocities of the free electrons almost immediately.
C)a very large number of charges slowly drifting down the wire.
D)the replacement of charge flowing out of the wire at one end by charge entering the wire at the other end.
E)all of the above
A)the propagation of an electric field down the wire with nearly the speed of light.
B)the acquisition of the drift velocities of the free electrons almost immediately.
C)a very large number of charges slowly drifting down the wire.
D)the replacement of charge flowing out of the wire at one end by charge entering the wire at the other end.
E)all of the above
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9
The same potential difference is applied across two wires.Wire A carries twice the current of wire B.If the resistance of wire B is R,what is the resistance of wire A?
A)R
B)2R
C)R/2
D)4R
E)R/4
A)R
B)2R
C)R/2
D)4R
E)R/4
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10
In a certain particle accelerator,a current of 300 A is carried by a 4.00-MeV proton beam that has a radius of 1.30 mm.The mass of a proton is 1.67 10-27 kg.If the beam hits a target,how many protons hit the target in 3 s?
A)1.55 1015
B)8.64 1015
C)3.42 1015
D)4.29 1015
E)None of these is correct.
A)1.55 1015
B)8.64 1015
C)3.42 1015
D)4.29 1015
E)None of these is correct.
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11
In a certain particle accelerator,a current of 300 A is carried by a 4.00-MeV proton beam that has a radius of 1.30 mm.The mass of a proton is 1.67 10-27 kg.What is the number of protons per unit volume in this beam?
A)3.64 1013 protons/m3
B)2.76 1013 protons/m3
C)1.27 1013 protons/m3
D)5.98 1013 protons/m3
E)4.17 1013 protons/m3
A)3.64 1013 protons/m3
B)2.76 1013 protons/m3
C)1.27 1013 protons/m3
D)5.98 1013 protons/m3
E)4.17 1013 protons/m3
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12
The drift velocity of an electron in a wire varies
A)directly with the number of charge carriers per unit volume.
B)directly with the cross-sectional area of the conducting wire.
C)directly with the charge carried by it.
D)directly with the current flowing in the conducting wire.
E)inversely with the current flowing in the conducting wire.
A)directly with the number of charge carriers per unit volume.
B)directly with the cross-sectional area of the conducting wire.
C)directly with the charge carried by it.
D)directly with the current flowing in the conducting wire.
E)inversely with the current flowing in the conducting wire.
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13
For copper, = 8.93 g/cm3 and M = 63.5 g/mol.Assuming one free electron per copper atom,what is the drift velocity of electrons in a copper wire of radius 0.625 mm carrying a current of 3 A?
A)3.54 10-4 m/s
B)1.80 10-4 m/s
C)4.26 10-4 m/s
D)7.52 10-4 m/s
E)2.46 10-4 m/s
A)3.54 10-4 m/s
B)1.80 10-4 m/s
C)4.26 10-4 m/s
D)7.52 10-4 m/s
E)2.46 10-4 m/s
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14
In a certain particle accelerator,a current of 800 A is carried by a 6.00-MeV proton beam that has a radius of 1.50 mm.The mass of a proton is 1.67 10-27 kg.How many protons per unit volume are in this beam?
A)3.24 1013 protons/m3
B)7.76 1013 protons/m3
C)1.57 1013 protons/m3
D)2.09 1013 protons/m3
E)4.34 1013 protons/m3
A)3.24 1013 protons/m3
B)7.76 1013 protons/m3
C)1.57 1013 protons/m3
D)2.09 1013 protons/m3
E)4.34 1013 protons/m3
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15
The resistivity of any given metal
A)depends on its temperature.
B)varies linearly with temperature.
C)is the proportionality constant between the resistance,R,and the ratio of the length,L,to the cross-sectional area,A,of a wire made of the metal.
D)has units of ohm-meter.
E)is described by all of the above.
A)depends on its temperature.
B)varies linearly with temperature.
C)is the proportionality constant between the resistance,R,and the ratio of the length,L,to the cross-sectional area,A,of a wire made of the metal.
D)has units of ohm-meter.
E)is described by all of the above.
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16
If 4.0 1018 electrons and 1.5 1018 protons move in opposite directions past a given cross section of a hydrogen discharge tube every second,the average current in the tube is
A)0.40 A
B)0.56 A
C)0.88 A
D)1.5 A
E)4.0 A
A)0.40 A
B)0.56 A
C)0.88 A
D)1.5 A
E)4.0 A
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17
If 4.7 1016 electrons pass a particular point in a wire every second,what is the current in the wire?
A)4.7 mA
B)7.5 A
C)2.9 A
D)7.5 mA
E)0.29 A
A)4.7 mA
B)7.5 A
C)2.9 A
D)7.5 mA
E)0.29 A
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18
In a certain particle accelerator,a current of 800 A is carried by a 6.00-MeV proton beam that has a radius of 1.50 mm.The mass of a proton is 1.67 10-27 kg.If the beam hits a target,how many protons hit the target in 5 s?
A)2.50 1016
B)6.78 1016
C)5.68 1016
D)1.37 1016
E)3.71 1016
A)2.50 1016
B)6.78 1016
C)5.68 1016
D)1.37 1016
E)3.71 1016
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19
Which of the following statements is false?
A)When there is no electric field in a wire,the free electrons move in random directions with speeds of the order of 106 m/s.
B)By convention,electrons move in the direction opposite to the direction of current.
C)In the absence of an electric field,the average velocity of the electrons in a wire is very large.
D)The drift velocity of electrons in a typical metal is very small.
E)The motion of the free electrons in a metal is similar to that of the molecules of a gas.
A)When there is no electric field in a wire,the free electrons move in random directions with speeds of the order of 106 m/s.
B)By convention,electrons move in the direction opposite to the direction of current.
C)In the absence of an electric field,the average velocity of the electrons in a wire is very large.
D)The drift velocity of electrons in a typical metal is very small.
E)The motion of the free electrons in a metal is similar to that of the molecules of a gas.
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20
You want to use a metal bar as a resistor.Its dimensions are 2 by 4 by 10 units.To get the smallest resistance from this bar,you should attach leads to the two opposite sides that have the dimensions of
A)2 by 4 units.
B)2 by 10 units.
C)4 by 10 units.
D)any number of units because all connections give the same resistance.
E)None of these is correct.
A)2 by 4 units.
B)2 by 10 units.
C)4 by 10 units.
D)any number of units because all connections give the same resistance.
E)None of these is correct.
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21
By what percentage does the resistance of a copper wire ( = 3.9 10-3/K)increase when its temperature increases from 20ºC to 100ºC?
A)11%
B)14%
C)23%
D)31%
E)57%
A)11%
B)14%
C)23%
D)31%
E)57%
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22
A 10-gauge copper wire (diameter = 2.588 mm, = 1.7 10-8 · m)has a total resistance of 0.32 .How long is the wire?
A)4.0 102 m
B)1.6 km
C)99 m
D)31 m
E)65 m
A)4.0 102 m
B)1.6 km
C)99 m
D)31 m
E)65 m
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23
Consider a conductor for which
Which of the following is an expression for ?
A)RL/A
B)RLA
C)R/(LA)
D)LA/R
E)AR/L

A)RL/A
B)RLA
C)R/(LA)
D)LA/R
E)AR/L
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24
A wire 10 m long with a diameter of 1.0 mm has a resistance of 5.0 .The resistance of a second wire made of the same material,but 3.0 m long with a diameter of 4.0 mm,is approximately
A)0.38
B)0.094
C)0.75
D)1.7
E)0.27 k
A)0.38
B)0.094
C)0.75
D)1.7
E)0.27 k
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25
A wire of length L,cross sectional area A and resistance R is now drawn out by pulling such that its new resistance is 25R.What is its new cross sectional area? (Assume the density remains constant.)
A)1.00 10-1 A
B)6.67 10-1 A
C)4.00 10-1 A
D)2.50 10-1 A
E)2.00 10-1 A
A)1.00 10-1 A
B)6.67 10-1 A
C)4.00 10-1 A
D)2.50 10-1 A
E)2.00 10-1 A
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26
Since you cannot afford expensive cable to hook up between your loudspeaker and music amplifier,you try some common 14-gauge (diameter = 1.628 mm)copper wire.If the total length of the wire (there and back)used for each speaker to amplifier hookup was 10 m,then calculate the resistance in the wire for one channel.( (Cu)= 1.7 10-8 /m)
A)2.6 10-2
B)2.0 10-2
C)4.1 10-3
D)8.2 10-2
E)1.6 10-1
A)2.6 10-2
B)2.0 10-2
C)4.1 10-3
D)8.2 10-2
E)1.6 10-1
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27
Two pieces of copper wire have the same length,but wire A has a square cross section of width s whereas wire B has a circular cross section of diameter s.Which of the following statements is true?
A)The resistance of both wires is the same.
B)The resistivity of both wires is the same.
C)Both the resistance and the resistivity of A and B are the same.
D)The resistance of A is greater than that of B.
E)The resistivity of A is greater than that of B.
A)The resistance of both wires is the same.
B)The resistivity of both wires is the same.
C)Both the resistance and the resistivity of A and B are the same.
D)The resistance of A is greater than that of B.
E)The resistivity of A is greater than that of B.
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28
A wire of length L and resistance R is now drawn out by pulling such that its new resistance is 15R.What is its new length? (Assume the density remains constant.)
A)1.50 L
B)6.67 10-1 L
C)2.25 L
D)3.87 L
E)2.58 10-1 L
A)1.50 L
B)6.67 10-1 L
C)2.25 L
D)3.87 L
E)2.58 10-1 L
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29
A potential difference of 120 V produces a current of 8.0 A in the heating element of a toaster.What is the resistance of this heating element while the toaster is carrying this current?
A)6.7 10-2
B)15
C)0.96 k
D)67
E)30
A)6.7 10-2
B)15
C)0.96 k
D)67
E)30
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30
A wire of length L = 5.0 m and uniform diameter has an electric field of E = 4.0 V/m throughout the wire.The potential difference across the wire is
A)1.25 V
B)0.80 V
C)20.0 V
D)3.20 V
E)zero
A)1.25 V
B)0.80 V
C)20.0 V
D)3.20 V
E)zero
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31
By what percentage does the resistance of a copper wire ( = 3.9 10-3/K)increase when its temperature increases from 20 to 75ºC?
A)11%
B)14%
C)22%
D)31%
E)57%
A)11%
B)14%
C)22%
D)31%
E)57%
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32
Use the diagram below for the next problem: 
Two copper wires have the same volume,but wire 2 is 10% longer than wire 1.The ratio of the resistances of the two wires R2/R1 is
A)1.2
B)1.1
C)0.82
D)0.91
E)1.0

Two copper wires have the same volume,but wire 2 is 10% longer than wire 1.The ratio of the resistances of the two wires R2/R1 is
A)1.2
B)1.1
C)0.82
D)0.91
E)1.0
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33
A wire of length L and resistance R is now drawn out by pulling such that its new length is 1.5L.What is its new resistance? (Assume the density remains constant.)
A)1.00 R
B)1.50 R
C)2.25 R
D)5.06 R
E)4.44 10-1 R
A)1.00 R
B)1.50 R
C)2.25 R
D)5.06 R
E)4.44 10-1 R
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34
A potential difference V = 25 V is applied across a wire of length L = 10.0 m and uniform diameter.The electric field throughout the wire is
A)250 V/m
B)2.5 V/m
C)0.4 V/m
D)0.25 V/m
E)zero
A)250 V/m
B)2.5 V/m
C)0.4 V/m
D)0.25 V/m
E)zero
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35
Use the diagram below for the next problem: 
The diagram shows the current versus voltage for a diode.The region which has the highest resistance is
A)I
B)II
C)III
D)IV
E)II and III

The diagram shows the current versus voltage for a diode.The region which has the highest resistance is
A)I
B)II
C)III
D)IV
E)II and III
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36
A wire of length L = 6.0 m has a uniform diameter d = 3.0 mm.When an electric field of E = 0.25 V/m is applied to the wire,the current is 1.5 A.The resistivity of the wire is
A)1.18 10-6 .m
B)3.53 10-6 .m
C)2.81 10-7 .m
D)7.03 10-8 .m
E)2.21 10-7 .m
A)1.18 10-6 .m
B)3.53 10-6 .m
C)2.81 10-7 .m
D)7.03 10-8 .m
E)2.21 10-7 .m
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37
Use the diagram below for the next problem: 
Two copper wires have the same volume,but wire 2 is 20% longer than wire 1.The ratio of the resistances of the two wires R2/R1 is
A)1.2
B)0.83
C)1.1
D)0.91
E)1.4

Two copper wires have the same volume,but wire 2 is 20% longer than wire 1.The ratio of the resistances of the two wires R2/R1 is
A)1.2
B)0.83
C)1.1
D)0.91
E)1.4
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38
A wire of length L and resistance R is cut into 4 equal pieces.If the 4 pieces are now twisted together to make a wire of length L/4,what is the new resistance of the shorter wire combination?
A)R/16
B)R/4
C)R
D)4R
E)16R
A)R/16
B)R/4
C)R
D)4R
E)16R
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39
A wire of length L = 3.0 m.When an electric field of E = 0.5 V/m is applied to the wire,the current is 1.5 A.The resistance of the wire is
A)0.53
B)8.0
C)5.33
D)0.13
E)1.0
A)0.53
B)8.0
C)5.33
D)0.13
E)1.0
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40
Use the diagram below for the next problem: 
The diagram shows the current versus voltage for a diode.The region which has the least resistance is
A)I
B)II
C)III
D)IV
E)A diode does not have any resistance.

The diagram shows the current versus voltage for a diode.The region which has the least resistance is
A)I
B)II
C)III
D)IV
E)A diode does not have any resistance.
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41
A heating element made of nichrome wire (temperature coefficient of resistivity, = 0.400 10-3 K-1)is connected to a source.When it has just been turned on and its temperature is 20ºC,it dissipates 960 W of power.What power is dissipated when its temperature has risen to 300ºC?
A)1.1 103 W
B)9.6 102 W
C)8.6 102 W
D)8.6 103 W
E)1.1 102 W
A)1.1 103 W
B)9.6 102 W
C)8.6 102 W
D)8.6 103 W
E)1.1 102 W
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42
A 6-V storage battery supplies energy to a simple circuit at the constant rate of 48 W.The resistance of the circuit is
A)8
B)
C)3/2
D)4/3
E)3/4
A)8
B)

C)3/2
D)4/3
E)3/4
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43
You can pay a lot of money for fancy connecting cables between your audio/video equipment components.Some of the more expensive ones use silver wire rather than copper.Calculate the difference in resistance between a silver and a copper cable with the same 12-gauge diameter of 2.05 mm and length of 3 m (hence total length = 6m).(Use (Cu)= 1.7 10-8 /m and (Ag)= 1.6 10-8 /m.Unfortunately (or fortunately),there are many other factors that go into making an interconnect cable than simple resistance considerations.)
A)4.1 10-3
B)1.8 10-3
C)2.9 10-2
D)9.0 10-4
E)3.1 10-2
A)4.1 10-3
B)1.8 10-3
C)2.9 10-2
D)9.0 10-4
E)3.1 10-2
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44
An immersion heater of negligible mass draws a current of 7.5 A from a source with a potential difference of 120 V.The heater is in 0.950 m3 of water.The initial temperature of the water is 12.5ºC.How much time does it take to increase the temperature of the water to 27.5ºC? Neglect any heat loss.One calorie is equivalent to 4.18 J.
A)4.7 104 s
B)3.3 104 s
C)1.1 104 s
D)1.6 104 s
E)None of these is correct.
A)4.7 104 s
B)3.3 104 s
C)1.1 104 s
D)1.6 104 s
E)None of these is correct.
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45
A motor running from a 220-V line is lifting a mass of 35 kg against Earth's gravity at a constant speed of 6.0 m/s.If we assume 100% efficiency,the current required is
A)0.27 A
B)9.4 A
C)7.7 A
D)3.3 A
E)4.7 A
A)0.27 A
B)9.4 A
C)7.7 A
D)3.3 A
E)4.7 A
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46
A storage battery with emf 6.4 V and internal resistance 0.080 is being charged by a current of 15 A.The power loss in internal heating of the battery is
A)18 W
B)96 W
C)1.2 W
D)80 W
E)0.11 kW
A)18 W
B)96 W
C)1.2 W
D)80 W
E)0.11 kW
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47
An electric motor drives a pump that lifts water from a well that is 11.9 m deep and then delivers the water through a hose at a rate of 180 L/min and a speed of 21.0 m/s.If we assume 100% efficiency and ignore viscosity,the current drawn by the motor from a 220-V source is
A)4.6 A
B)7.2 A
C)6.0 A
D)1.0 103 A
E)2.3 A
A)4.6 A
B)7.2 A
C)6.0 A
D)1.0 103 A
E)2.3 A
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48
The total charge flowing per hour past a given point in a piece of electrical equipment rated at 550 kW and 110 V is
A)1.8 107 C
B)3.0 104 C
C)3.3 104 C
D)2.4 103 C
E)impossible to determine without more information.
A)1.8 107 C
B)3.0 104 C
C)3.3 104 C
D)2.4 103 C
E)impossible to determine without more information.
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49
Suppose instead of using a 12-gauge (diameter = 2.05 mm)solid copper cable you made a hollow copper cable of outer diameter 2.59 mm (10-gauge)and inner diameter 1.29 mm (16-gauge).Calculate the length of hollow cable that would give the same resistance as 1 m of 12-gauge solid cable.Use (Cu)= 1.7 10-8 /m.
A)0.402 m
B)2.48 m
C)0.833 m
D)1.44 m
E)1.20 m
A)0.402 m
B)2.48 m
C)0.833 m
D)1.44 m
E)1.20 m
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50
An energy efficient light bulb uses 15 W of power for an equivalent light output of a 60 W incandescent light bulb.How much money do you save each month by using the energy efficient light bulb instead of the incandescent light bulb for 6 hours a day? Assume that 1 kW.hr costs 14 cents and there are 30 days in one month.
A)$0.39
B)$0.76
C)$1.51
D)$0.57
E)$1.13
A)$0.39
B)$0.76
C)$1.51
D)$0.57
E)$1.13
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51
The power dissipated in each of two resistors is the same.The potential drop across resistor A is twice that across resistor B.If the resistance of resistor B is R,what is the resistance of A?
A)R
B)2R
C)R/2
D)4R
E)R/4
A)R
B)2R
C)R/2
D)4R
E)R/4
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52
A current of 0.50 A passes through a lamp with a resistance of 600 .The power supplied to this lamp is
A)2.0 W
B)0.10 kW
C)0.12 kW
D)0.15 kW
E)0.30 kW
A)2.0 W
B)0.10 kW
C)0.12 kW
D)0.15 kW
E)0.30 kW
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53
If electric energy costs 10 cents per kilowatt-hour,how many cents does it cost to keep a 660-W toaster in steady operation for 30 min?
A)15 cents
B)12 cents
C)6.9 cents
D)3.3 cents
E)1.7 cents
A)15 cents
B)12 cents
C)6.9 cents
D)3.3 cents
E)1.7 cents
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54
An electric generator supplies power as a function of time according to the expression
where the units are SI.The electric energy provided by the generator between t = 0 and t = 1 s is
A)1.8 J
B)2.0 J
C)2.5 J
D)5.0 J
E)8.0 J

A)1.8 J
B)2.0 J
C)2.5 J
D)5.0 J
E)8.0 J
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55
A 12-V battery has an internal resistance of 0.20 .If the battery is being charged by a current of 30 A,the magnitude of the potential difference between its terminals is
A)18 V
B)6.0 V
C)42 V
D)0
E)12 V
A)18 V
B)6.0 V
C)42 V
D)0
E)12 V
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56
Which of these five terms is most unlike the others?
A)electromotive force
B)voltage
C)potential difference
D)current
E)electric potential
A)electromotive force
B)voltage
C)potential difference
D)current
E)electric potential
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57
A resistor carries a current I.The power dissipated in the resistor is P.What is the power dissipated if the same resistor carries current 3I?
A)P
B)3P
C)P/3
D)9P
E)P/P
A)P
B)3P
C)P/3
D)9P
E)P/P
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58
You connect two similar heating coils in series on a constant-voltage line.When you later connect them in parallel to the same line,the heat developed per minute,compared with the former rate,is approximately
A)the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.
A)the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.
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59
A resistor develops heat at the rate of 20 W when the potential difference across its ends is 30 V.The resistance of the resistor is approximately
A)45
B)5.5
C)30
D)13
E)2
A)45
B)5.5
C)30
D)13
E)2
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60
An energy efficient light bulb uses 15 W of power for an equivalent light output of a 60 W incandescent light bulb.How much energy is saved each month by using the energy efficient light bulb instead of the incandescent light bulb for 4 hours a day? Assume that there are 30 days in one month.
A)5.4 kW.hr
B)1.35 kW.hr
C)21.6 kW.hr
D)1.8 kW.hr
E)7.2 kW.hr
A)5.4 kW.hr
B)1.35 kW.hr
C)21.6 kW.hr
D)1.8 kW.hr
E)7.2 kW.hr
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61
When two identical resistors are connected in series across a battery,the total power dissipated by them is 20 W.If these resistors are connected in parallel across the same battery,the total power dissipated is
A)5 W
B)10 W
C)20 W
D)40 W
E)80 W
A)5 W
B)10 W
C)20 W
D)40 W
E)80 W
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62
Battery A has a relatively high internal resistance,whereas battery B has a low internal resistance.If both batteries provide the same current to some external circuitry,which of the following statements is likely to be true?
A)Battery A is warmer to the touch than battery B.
B)Battery B is warmer to the touch than battery A.
C)Battery A is cooler to the touch than battery B.
D)Both batteries are equally warm to the touch.
E)The emf of both batteries must be known to predict their warmth to the touch.
A)Battery A is warmer to the touch than battery B.
B)Battery B is warmer to the touch than battery A.
C)Battery A is cooler to the touch than battery B.
D)Both batteries are equally warm to the touch.
E)The emf of both batteries must be known to predict their warmth to the touch.
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63
When two identical resistors are connected in parallel,the equivalent resistance,compared with that of the same two resistors connected in series,is
A)exactly the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.
A)exactly the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.
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64
When two resistors are connected in series,the equivalent resistance is Rs = 10 .When they are connected in parallel,the equivalent resistance is Rp = 2.4 .What are the values of the two resistances?
A)4.0 and 6.0
B)5.0 for both
C)1.0 and 1.4
D)1.2 for both
E)2.5 and 7.5
A)4.0 and 6.0
B)5.0 for both
C)1.0 and 1.4
D)1.2 for both
E)2.5 and 7.5
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65
Two resistors are connected in series across a potential difference.If the current carried by resistor A is I,what is the current carried by B?
A)I
B)2I
C)I/2
D)4I
E)I/4
A)I
B)2I
C)I/2
D)4I
E)I/4
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66
In a parallel circuit,
A)the current is the same in every branch.
B)the potential drop is the sum of those in all branches.
C)the potential drop is the same for each element of the parallel circuit.
D)the heat generated is the same in all branches.
E)the resistance is the sum of the resistances of the branches.
A)the current is the same in every branch.
B)the potential drop is the sum of those in all branches.
C)the potential drop is the same for each element of the parallel circuit.
D)the heat generated is the same in all branches.
E)the resistance is the sum of the resistances of the branches.
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67
The conservation of charge in an electric circuit is closely related to which of the following?
A)Ohm's law
B)Kirchhoff's junction rule
C)Kirchhoff's loop rule
D)Newton's laws
E)Ampère's law
A)Ohm's law
B)Kirchhoff's junction rule
C)Kirchhoff's loop rule
D)Newton's laws
E)Ampère's law
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68
A resistor of 2 and another of 3 are connected in parallel,and this combination is joined in series with a 4- resistor across a battery.If the current in the 2- resistor is 2.0 A,the potential drop across the 3- resistor is
A)2.4 V
B)1.2 V
C)6.0 V
D)4.0 V
E)8.0 V
A)2.4 V
B)1.2 V
C)6.0 V
D)4.0 V
E)8.0 V
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69
The conservation of energy in an electric circuit is closely related to which of the following?
A)Ohm's law
B)Kirchhoff's junction rule
C)Kirchhoff's loop rule
D)Newton's laws
E)Ampère's law
A)Ohm's law
B)Kirchhoff's junction rule
C)Kirchhoff's loop rule
D)Newton's laws
E)Ampère's law
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70
A 12-V car battery may supply 60 A for 2.5 s in order for the starter motor to start the engine.Calculate how much electrical energy has been used.
A)1.8 103 J
B)2.2 104 J
C)7.2 102 J
D)3.6 103 J
E)4.5 103 J
A)1.8 103 J
B)2.2 104 J
C)7.2 102 J
D)3.6 103 J
E)4.5 103 J
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71
You leave your 120-W light bulb on in your room by mistake while you are at school for 8.5 hours.If the price of electrical energy is $0.085 per kilowatt-hour,how much did it cost you?
A)$0.082
B)$0.075
C)$0.065
D)$0.087
E)$0.078
A)$0.082
B)$0.075
C)$0.065
D)$0.087
E)$0.078
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72
A galvanometer has an internal resistance of 200 and requires a current of 5.0 mA for full-scale deflection.What resistance should be connected in parallel with this galvanometer to make an ammeter that reads 10 A at full-scale deflection?
A)0.10
B)4.0 105
C)400
D)0.20
E)2.0
A)0.10
B)4.0 105
C)400
D)0.20
E)2.0
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73
Two resistors R1 and R2 are connected in parallel,and this combination is connected in series with a third resistor R3.If R1 = 5.0 ,R2 = 2.0 ,and R3 = 6.0 ,what is the equivalent resistance of this combination?
A)0.3l
B)3.2
C)6.7
D)7.4
E)13
A)0.3l
B)3.2
C)6.7
D)7.4
E)13
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74
If it takes you 5 minutes to dry your hair using a 1200-W hairdryer plugged into a 120-V power outlet,how many Coulombs of charge pass through your hair dryer?
A)120 C
B)300 C
C)60.0 C
D)1.00 C
E)5.00 C
A)120 C
B)300 C
C)60.0 C
D)1.00 C
E)5.00 C
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75
Two resistors are connected in parallel across a potential difference.The resistance of resistor A is twice that of resistor B.If the current carried by resistor A is I,what is the current carried by B?
A)I
B)2I
C)I/2
D)4I
E)I/4
A)I
B)2I
C)I/2
D)4I
E)I/4
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76
In your four years at college you dry your hair everyday for 5 minutes with a 1200-W hairdryer.If the average price of electrical energy was $0.085 per kilowatt-hour,how much did it cost you during this time? (Assume 1 year = 365 days.)
A)$4.10
B)$8.90
C)$12.4
D)$22.8
E)$15.6
A)$4.10
B)$8.90
C)$12.4
D)$22.8
E)$15.6
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77
Each of three identical electric heaters is rated at 1000 W when operated across 100-V lines.When the three are connected in series across a 120-V line,at what rate is electric energy converted to heat energy? (Neglect variation of resistance with temperature.)
A)0.48 kW
B)1.0 kW
C)1.2 kW
D)3.0 kW
E)3.6 kW
A)0.48 kW
B)1.0 kW
C)1.2 kW
D)3.0 kW
E)3.6 kW
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78
You connect two identical resistors in series across supply lines maintained at a constant potential difference.When you later connect them in parallel across the same supply lines,the total current furnished by the supply lines,compared with the former current,is
A)exactly the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.
A)exactly the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.
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79
A galvanometer has an internal resistance of 200 and requires a current of 5.0 mA for full-scale deflection.What resistance should be connected in series with this galvanometer to make a voltmeter that reads 25 V at full-scale deflection?
A)2.4 k
B)4.8 k
C)5.0 k
D)5.2 k
E)9.6 k
A)2.4 k
B)4.8 k
C)5.0 k
D)5.2 k
E)9.6 k
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80
If two elements of a circuit are in parallel,they must have the same
A)charge.
B)potential difference across them.
C)resistance.
D)potential difference across them and the same charge.
E)current.
A)charge.
B)potential difference across them.
C)resistance.
D)potential difference across them and the same charge.
E)current.
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