Deck 25: Current and Resistance

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Question
A current of 0.500 A flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 1028 electrons/m3.What is the electron drift velocity in the wire?

A)1.24 * 10-8 m/s
B)1.84 * 10-8 m/s
C)7.34 * 10-4 m/s
D)1.84 * 10-4 m/s
E)3.69 * 10-4 m/s
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Question
The emf (electromotive force)is an

A)electric force vector.
B)electric force magnitude.
C)electric field vector.
D)electric field magnitude.
E)None are correct.
Question
A copper wire is connected across a battery.The direction of the current in the wire is

A)the same as the direction in which the electrons move.
B)opposite the direction in which the electrons move.
C)the same as the direction in which the protons move.
D)opposite the direction in which the protons move.
Question
The equivalent resistance of the circuit shown if  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega  <div style=padding-top: 35px>  .If  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega  <div style=padding-top: 35px>  and  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega  <div style=padding-top: 35px>  ,what is the resistance of R1?  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega  <div style=padding-top: 35px>

A)11 Ω\varOmega
B)2.9 Ω\varOmega
C)4.1 Ω\varOmega
D)5.2 Ω\varOmega
E)7.7 Ω\varOmega
Question
What is the equivalent resistance of the circuit shown if  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega  <div style=padding-top: 35px>  ,  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega  <div style=padding-top: 35px>  ,and  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega  <div style=padding-top: 35px>  ?  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega  <div style=padding-top: 35px>

A)7.7 Ω\varOmega
B)10 Ω\varOmega
C)56 Ω\varOmega
D)61 Ω\varOmega
Question
A copper wire has a diameter of dCu = 0.0400 cm,is 3.00 m long,has a resistivity of 1.72 * 10-8 Ω\varOmega m and has a carrier density of 8.50 * 1028 electrons/m3.The copper wire is attached to an equal length of aluminum wire with a diameter of dAl = 0.0200 cm,and a carrier density of 6.02 * 1028 electrons/m3.A current of 0.400 A flows through the copper and aluminum wires.What is the ratio of the current densities JCu/JAl in the two wires?

A)0.25
B)0.50
C)2
D)3
E)4
Question
A current flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 1028 electrons/m3.If the electron drift velocity is 1.84 * 10-4 m/s,what is the current in the wire?

A)0.500 A
B)0.125 A
C)0.313 A
D)0.102 A
E)0.230 A
Question
A copper wire has a diameter of dCu = 0.0400 cm,is 3.00 m long,has a resistivity of 1.72 * 10-8 Ω\varOmega m and has a carrier density of 8.50 * 1028 electrons/m3.The copper wire is attached to an equal length of aluminum wire with a a carrier density of 6.02 * 1028 electrons/m3.A current of 0.400 A flows through the copper and aluminum wires.If the ratio of the current densities the two wires,JCu/JAl is 0.50,what is the diameter of the aluminum wire?

A)0.0800 cm
B)0.0283 cm
C)0.0200 cm
D)0.0565 cm
E)0.0400 cm
Question
A potential difference of 0.994 V is applied across a 170 m long,11-gauge wire copper wire.What is the current in the wire?

A)1.42 A
B)0.650 A
C)1.00 A
D)1.75 A
E)0.702 A
Question
A certain brand of hot dog cooker applies a potential difference of 120 V to opposite ends of the hot dogs and cooks by means of the joule heat produced.If energy of 62 kJ is needed to cook each hot dog,what current is needed to cook four hot dogs simultaneously in 1.5 min? Assume a parallel connection.

A)2.5 A
B)5.1 A
C)10 A
D)15 A
E)23 A
Question
If the current through a resistor is increased by a factor of 4,how does this affect the power dissipated?

A)It decreases by a factor of 4.
B)It increases by a factor of 4.
C)It decreases by a factor of 8.
D)It increases by a factor of 16.
Question
What is the resistance of a 15.0-m long,24-gauge (0.511 mm diameter)copper wire? The resistivity of copper is 1.72 * 10-8 Ω\varOmega m.

A)0.315 Ω\varOmega
B)1.26 Ω\varOmega
C)1.52 Ω\varOmega
D)0.534 Ω\varOmega
E)1.89 Ω\varOmega
Question
N identical resistors are connected in parallel.The resistance of one of them is equal to R.What is the equivalent resistance of all N resistors?

A)R/N
B)R
C)NR
D)None are correct.
Question
A resistor of unknown resistance and a 52-W resistor are connected across a 120-V emf in such a way that a 12-A current is observed in the emf.What is the value of the unknown resistance?

A)12.4 Ω\varOmega
B)15.8 Ω\varOmega
C)2.3 Ω\varOmega
D)3.4 Ω\varOmega
E)6.9 Ω\varOmega
Question
A 22-gauge copper wire has a radius of 0.645 mm,is 5.00 m long,and has a resistivity ρ\rho = 1.72 * 10-8 Ω\varOmega m.The maximum current for which this wire is rated is 0.920A.What is the maximum electric potential difference that may be applied to this wire without overloading it?

A)0.0605 V
B)0.112 V
C)0.242 V
D)0.342 V
E)0.561 V
Question
If the electric potential across a resistor is increased by a factor of 4,how does this affect the power dissipated?

A)It decreases by a factor of 4.
B)It increases by a factor of 4.
C)It decreases by a factor of 8.
D)It increases by a factor of 16.
Question
At a critical junction in a supercomputer,the current as a function of time is given as i(t)= 3t2 -2t,where i is measured in milliamps and t is measured in seconds.How much charge passes through this critical junction during the interval 0 < t < 5.00 s?

A)28.0 mC
B)65.0 mC
C)100 mC
D)150 mC
Question
The current in an 11-gauge wire copper wire is 1.0 A and the wire is 170 m long.What is the potential difference across the wire?

A)1.01 V
B)1.43 V
C)0.994 V
D)0.852 V
E)0.701 V
Question
A potential difference of V = 0.500 V is applied across the length of a rectangular block of silicon (Si)with resistivity 8.70 *10-4 Ω\varOmega m.The dimensions of the Si block are: width 1.50 mm;thickness 0.400 mm;and length L = 20.0 cm.You may assume that the current density in the Si block is uniform and that currents in Si obey Ohm's law.What is the resistance of this Si block?

A)92.3 Ω\varOmega
B)362 Ω\varOmega
C)78.4 Ω\varOmega
D)290 Ω\varOmega
E)452 Ω\varOmega
Question
N identical resistors are connected in series.The resistance of one of them is equal to R.What is the equivalent resistance of all N resistors?

A)R/N
B)R
C)NR
D)None are correct.
Question
What is the battery current Ibat when the switch in the figure is closed? <strong>What is the battery current I<sub>bat</sub> when the switch in the figure is closed?  </strong> A)8.0 A B)9.14 A C)1.09 A D)12.5 A <div style=padding-top: 35px>

A)8.0 A
B)9.14 A
C)1.09 A
D)12.5 A
Question
In the circuit shown,R1 = 3 Ω\varOmega ,R2 = 6 Ω\varOmega ,R3 = 20 Ω\varOmega ,and Ω\varOmega = 12 V.Calculate the magnitude of current flowing through R3 on the left branch of the circuit (marked with ☺).  <strong>In the circuit shown,R<sub>1</sub> = 3 \varOmega ,R<sub>2</sub> = 6  \varOmega ,R<sub>3</sub> = 20  \varOmega ,and  \varOmega  = 12 V.Calculate the magnitude of current flowing through R<sub>3</sub> on the left branch of the circuit (marked with ☺).  </strong> A)0.5 A B)1.0 A C)0.25 A D)2.0 A <div style=padding-top: 35px>

A)0.5 A
B)1.0 A
C)0.25 A
D)2.0 A
Question
Which of the following has the smallest current flowing through it?

A)a 1-m long copper wire of diameter 1 mm connected to a battery of 10 V
B)a 0.5-m long copper wire of diameter 0.5 mm connected to a 5-V battery
C)a 2-m long copper wire of diameter 2 mm connected to a 20-V battery
D)a 1-m long copper wire of diameter 0.5 mm connected to a 5-V battery
E)All of the choices have the same current.
Question
A 100-W light bulb is connected to a 120-V DC power outlet.If the wires leading to that power outlet have a resistance of 1.2 ohms,how much power is wasted in the connecting wires?

A)0.83 W
B)1.0 W
C)1.2 W
D)1.4 W
E)99 W
Question
A 1-m copper wire with a radius of 0.5 mm is stretched to a distance of 2 m.What is the fractional change in resistance Δ\Delta R/R as the wire is stretched?

A)1.0
B)2.5
C)3.0
D)4.3
E)5.4
Question
Which of the following has the largest current flowing through it?

A)a 1-m long copper wire of diameter 1 mm connected to a battery of 10 V
B)a 0.5-m long copper wire of diameter 0.5 mm connected to a 5-V battery
C)a 2-m long copper wire of diameter 2 mm connected to a 20-V battery
D)a 1-m long copper wire of diameter 0.5 mm connected to a 5-V battery
E)All of the choices have the same current.
Question
A 10-ohm resistor is attached to a 20-ohm resistor in series.This combination is then attached to a 30-ohm resistor in parallel.This is then connected to a 120-V battery.What is the current flow through the 20-ohm resistor?

A)4.0 A
B)6.0 A
C)8.0 A
D)16 A
E)18 A
Question
A circuit consists of a copper wire of length 10 m and radius 1 mm.The wire is connected to a 10-V battery.An aluminum wire of length 5 m is connected to the same battery and dissipates the same amount of power.What is the radius of the aluminum wire?

A)0.91 mm
B)0.84 mm
C)1.12 mm
D)0.45 mm
E)0.65 mm
Question
After a long period of use,contacts in an electric bulb socket could corrode and introduce extra resistance in the circuit.Suppose a light bulb socket is very badly corroded and you are using a 100-W bulb in the corroded socket at 120 V.As a result,the actual power dissipated in the bulb is 80.0 W.What is the resistance of the badly corroded socket?

A)10 Ω\varOmega
B)13 Ω\varOmega
C)17 Ω\varOmega
D)21 Ω\varOmega
E)25 Ω\varOmega
Question
Two identical bulbs,A and B,are connected in an electrical circuit as shown in the figure.R is the resistance connected in series with the each bulb.Initially they are glowing with equal intensity.Bulb A is removed from the socket;the potential difference across the empty socket A will <strong>Two identical bulbs,A and B,are connected in an electrical circuit as shown in the figure.R is the resistance connected in series with the each bulb.Initially they are glowing with equal intensity.Bulb A is removed from the socket;the potential difference across the empty socket A will  </strong> A)decrease. B)increase. C)not change. D)become zero. <div style=padding-top: 35px>

A)decrease.
B)increase.
C)not change.
D)become zero.
Question
A circuit consists of a copper wire of length 10 m and radius 1 mm.The wire is connected to a 10-V battery.An aluminum wire of radius 0.50 mm is connected to the same battery and dissipates the same amount of power.What is the length of the aluminum wire?

A)5.00 m
B)2.50 m
C)1.87 m
D)1.52 m
E)3.74 m
Question
In circuit shown,three identical light bulbs are connected.Initially switch S is closed.When switch S is opened,bulb 3 turns off.As for bulbs 1 and 2,which statement is true? <strong>In circuit shown,three identical light bulbs are connected.Initially switch S is closed.When switch S is opened,bulb 3 turns off.As for bulbs 1 and 2,which statement is true?  </strong> A)Bulb 1 gets brighter while bulb 2 gets dimmer. B)Both bulbs 1 and 2 get brighter. C)Both bulbs 1 and 2 get dimmer. D)Bulb 1 gets dimmer while bulb 2 gets brighter. <div style=padding-top: 35px>

A)Bulb 1 gets brighter while bulb 2 gets dimmer.
B)Both bulbs 1 and 2 get brighter.
C)Both bulbs 1 and 2 get dimmer.
D)Bulb 1 gets dimmer while bulb 2 gets brighter.
Question
A current flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 1028 electrons/m3.If the electron drift velocity is 1.84 * 10-4 m/s,what is the current density in the wire?

A)1.93 * 106 A/m2
B)1.18 * 106 A/m2
C)1.36 * 106 A/m2
D)1.53 * 106 A/m2
E)1.77 * 106 A/m2
Question
A 10-ohm resistor is attached to a 20-ohm resistor in series.This combination is then attached to a 30-ohm resistor in parallel.This is then connected to a 120-V battery.What is the current drawn from the battery?

A)2.0 A
B)2.2 A
C)3.3 A
D)8.0 A
E)1800 A
Question
After a long period of use,contacts in an electric bulb socket could corrode and introduce extra resistance in the circuit.Suppose a light bulb socket is very badly corroded and has 10 ohm of resistance.If you are using a 100-W bulb in the corroded socket at 120 V,the actual power dissipated in the bulb is

A)139.5 W.
B)112 W.
C)93.5 W.
D)87.4 W.
E)67.1 W.
Question
In an emergency you need to power a radio that uses 25 W of power when attached to a 6.0-V power supply.The only power supply you have access to provides 120 V,but you do have a very large number of 4.0-ohm resistors.If you want the power in the radio to be as closes as possible to 25 W,how many resistors do you need to use?

A)5
B)7
C)10
D)120
E)144
Question
Two resistors of resistance R are connected in series.The combination is connected in parallel to a resistor of resistance 2R.What is the resistance of this combination of resistors?

A)0.5 R
B)R
C)1.0 R
D)2.0 R
E)2.5 R
Question
A 12.0-V battery is connected to a 7.54-ohm resistor and a current of 0.999A is measured to flow through the resistor.How much power is dissipated as heat inside the battery?

A)zero
B)4.47 W
C)7.10 W
D)12.0 W
E)19.1 W
Question
Two resistors of resistance R are connected in parallel.The combination is connected in series to a resistor of resistance 2R.What is the resistance of this combination of resistors?

A)0.5 R
B)R
C)1.0 R
D)2.0 R
E)2.5 R
Question
A copper wire of diameter 2 mm carries 12 A of current for an electric stove.Assuming the resistivity of copper of 1.7 * 10-8 Ω\varOmega .m,the power dissipated in 2 m length of the wire is

A)0.72 W.
B)0.98 W.
C)1.23 W.
D)1.44 W.
E)1.56 W.
Question
Assuming that there are 0.845 * 1029 electrons per m3 in a wire with cross sectional area 69 mm2 and drift velocity 4.12 * 10-8 m/s,what is the density current in the wire?

A)557 A/m2
B)348 A/m2
C)300 A/m2
D)807 A/m2
E)652 A/m2
Question
Assuming that there are 0.845 * 1029 electrons per m3 in a wire of with cross sectional area 69 mm2 and carrying a current of 30 mA,what is the drift velocity?

A)3.21 * 10-8 m/s
B)2.52 * 10-5 m/s
C)8.22 * 10-3 m/s
D)4.12 * 106 m/s
E)3.00 * 108 m/s
Question
A particular wire has a diameter of 1.7 mm and length of 1.3 m.If 45 μ\mu V is the potential drop measured across the wire when 3.0 mA flow in it,what is the resistivity of the metal from which it is made?

A)1.0 * 10-7 Ω\varOmega m
B)2.6 * 10-8 Ω\varOmega m
C)4.4 *10-6 Ω\varOmega m
D)1.8 * 10-5 Ω\varOmega m
Question
A battery has an internal resistance of 1.3 Ω\varOmega and a voltage of 48 V.What is the load resistance which causes the voltage to drop to 45.4 V?

A)22.7
B)0.587
C)1.37
D)2.63
E)3.23
Question
Assuming that there are 0.845 * 1029 electrons per m3 in a wire with cross sectional area 69 mm2 and drift velocity 4.12 * 10-8 m/s,what is the current in the wire?

A)25 mA
B)38 mA
C)33 mA
D)30 mA
E)18 mA
Question
A circuit containing a battery with V = 10.3 V and a resistor R1 = 15.7 Ω\varOmega is shown.If we replace the wire between points a and b with a second resistor R2 = 26.8 Ω\varOmega ,by how much (in a)will the total current through the battery change?  <strong>A circuit containing a battery with V = 10.3 V and a resistor R1 = 15.7  \varOmega  is shown.If we replace the wire between points a and b with a second resistor R2 = 26.8  \varOmega ,by how much (in a)will the total current through the battery change?  </strong> A)-0.265 B)-0.331 C)-0.414 D)-0.517 E)-0.646 <div style=padding-top: 35px>

A)-0.265
B)-0.331
C)-0.414
D)-0.517
E)-0.646
Question
A particular wire has a diameter of 1.7 mm and length of 1.3 m.If its resistance is 15 m Ω\varOmega ,what is the resistivity of the metal from which it is made?

A)1.0 * 10-7 Ω\varOmega m
B)2.6 * 10-8 Ω\varOmega m
C)4.4 * 10-6 Ω\varOmega m
D)1.8 * 10-5 Ω\varOmega m
Question
A battery has an unloaded terminal voltage of 48 V.When a load of 15 Ω\varOmega is connected to the battery,the terminal voltage drops to 45.4 V.What is the internal resistance of the battery?

A)1.0 Ω\varOmega
B)1.2 Ω\varOmega
C)1.3 Ω\varOmega
D)0.86 Ω\varOmega
E)0.95 Ω\varOmega
Question
In the circuit shown,R1 = 9.00 Ω\varOmega ,R2 = 14.0 Ω\varOmega ,R3 = 2.50 Ω\varOmega ,and V = 16.0 V.Find the total power dissipated in the circuit (in W).  <strong>In the circuit shown,R1 = 9.00  \varOmega ,R2 = 14.0  \varOmega ,R3 = 2.50  \varOmega ,and V = 16.0 V.Find the total power dissipated in the circuit (in W).  </strong> A)10.53 B)15.26 C)22.13 D)32.09 E)46.53 <div style=padding-top: 35px>

A)10.53
B)15.26
C)22.13
D)32.09
E)46.53
Question
What is the current that flows out of the ideal 9-V battery in the circuit in the figure? <strong>What is the current that flows out of the ideal 9-V battery in the circuit in the figure?  </strong> A)0.07 A B)0.43 A C)0.54 A D)0.90 A E)3.0 A <div style=padding-top: 35px>

A)0.07 A
B)0.43 A
C)0.54 A
D)0.90 A
E)3.0 A
Question
What is the current in the 20 Ω\varOmega resistor in the circuit in the figure?  <strong>What is the current in the 20  \varOmega resistor in the circuit in the figure?  </strong> A)0.33 A B)0.60 A C)1.0 A D)1.5 A E)3.0 A <div style=padding-top: 35px>

A)0.33 A
B)0.60 A
C)1.0 A
D)1.5 A
E)3.0 A
Question
Two cylinders are made out of the same material and are of equal length as shown.The cylinders are connected to a battery with voltage Vb as shown.If the voltage drop across resistor R2 is 0.810 * Vb,what is the ratio of the radii r1/r2 of the two cylinders? <strong>Two cylinders are made out of the same material and are of equal length as shown.The cylinders are connected to a battery with voltage Vb as shown.If the voltage drop across resistor R2 is 0.810 * Vb,what is the ratio of the radii r1/r2 of the two cylinders?  </strong> A)1.10 B)1.29 C)1.51 D)1.76 E)2.06 <div style=padding-top: 35px>

A)1.10
B)1.29
C)1.51
D)1.76
E)2.06
Question
What is voltage across the 8 Ω\varOmega resistor?  <strong>What is voltage across the 8  \varOmega resistor?  </strong> A)4 V B)8 V C)12 V D)1/4 V E)1/8 V <div style=padding-top: 35px>

A)4 V
B)8 V
C)12 V
D)1/4 V
E)1/8 V
Question
When two resistors are connected in parallel across a 12-V battery,6.3 A flows.If the smaller resistor is 2.5 Ω\varOmega how much current flows when the two are put in series across the same battery?

A)0.66 A
B)1.1 A
C)1.3 A
D)3.0 A
E)3.8 A
Question
Two conductors are made from the same material and are of the same length but one has a circular cross sectional area with diameter 1.2 mm and the other is square with 0.6 mm on each side.What is the ratio Rcircular/Rsquare of their resistances?  <strong>Two conductors are made from the same material and are of the same length but one has a circular cross sectional area with diameter 1.2 mm and the other is square with 0.6 mm on each side.What is the ratio R<sub>circular</sub>/R<sub>square</sub> of their resistances?  </strong> A)R<sub>circular</sub>/R<sub>square</sub> = 2 B)R<sub>circular</sub>/R<sub>square</sub> = 1/ \pi  C)R<sub>circular</sub>/R<sub>square</sub> =  \pi /2 D)R<sub>circular</sub>/R<sub>square</sub> = 4 E)R<sub>circular</sub>/R<sub>square</sub> = 1/2 <div style=padding-top: 35px>

A)Rcircular/Rsquare = 2
B)Rcircular/Rsquare = 1/ π\pi
C)Rcircular/Rsquare = π\pi /2
D)Rcircular/Rsquare = 4
E)Rcircular/Rsquare = 1/2
Question
A battery has an internal resistance of 1.3 Ω\varOmega and a voltage of 48.0 V.Is a load of 15.0 Ω\varOmega is connected to the battery,what is the voltage across the terminals of the battery?

A)48.0 V
B)44.2 V
C)45.4 V
D)39.6 V
E)42.0 V
Question
When two resistors are connected in series across a 12-V battery,1.1A flows.When they are connected in parallel across the same battery,6.3A flows.What is the smaller resistor's value?

A)2.5 Ω\varOmega
B)8.4 Ω\varOmega
C)1.7 Ω\varOmega
D)0.55 Ω\varOmega
Question
A battery has an internal resistance of 1.3 Ω\varOmega and a voltage of 48.0 V.Is a load of 15.0 Ω\varOmega is connected to the battery,what is the current supplied by the battery

A)2.94 A
B)37.0 A
C)2.63 A
D)3.20 A
E)2.48 A
Question
Two identical light bulbs are connected to a battery.Will the light bulbs be brighter if they are connected to the battery in series or in parallel?

A)in series
B)in parallel
C)The brightness will be the same in series and in parallel.
D)There is not enough information to determine an answer.
Question
A particular wire has a diameter of 1.7 mm and length of 1.3 m.If the resistivity of the metal from which the wire is made is 2.0 * 10-8 Ω\varOmega m,and 45 μ\mu V is the observed potential drop measured across the wire,what current is flowing in the wire?

A)3.9 mA
B)6.6 mA
C)16 mA
D)26 mA
Question
What is the current in the 5 Ω\varOmega resistor?  <strong>What is the current in the 5  \varOmega  resistor?  </strong> A)3.3 A B)2.2 A C)330 A D)6.6 A E)165 A <div style=padding-top: 35px>

A)3.3 A
B)2.2 A
C)330 A
D)6.6 A
E)165 A
Question
A ribbon of nichrome (resistivity = 1.00 * 10-6 Ω\varOmega ·m)with a rectangular cross sectional area and length 21.9 cm is used as a heating element in a toaster.What is the cross-sectional area of the ribbon,if the total resistance is intended to be 1.5 Ω\varOmega ?

A)1.24 mm2
B)1.02 mm2
C)0.79 mm2
D)0.25 mm2
E)0.33 mm2
Question
A ribbon of material with a rectangular cross sectional area of (0.25 mm * 1.00 mm),length 21.9 cm and resistance 1.5 Ω\varOmega is used as a heating element in a toaster.What is the resistivity of the material?

A)1.50 * 10-6 Ω\varOmega ·m
B)1.71 * 10-6 Ω\varOmega ·m
C)1.31 * 10-6 Ω\varOmega ·m
D)1.97 * 10-6 Ω\varOmega ·m
E)1.00 * 10-6 Ω\varOmega ·m
Question
A wire of length L,diameter d,resistance R is made of material with resistivity ρ\rho .If I take the wire and cut it into five equal pieces and then put those pieces in parallel to make one single thick wire L/5 in length,what will be its resistance?

A)R/5
B)R/25
C)R
D)5R
E)25R
Question
Suppose,while cooling your bedroom 0.25 moles of electrons pass through your air conditioner each hour.What current does your air conditioner draw when it is running?

A)6.7 A
B)25 A
C)15 A
D)8.3 A
E)5.5 A
Question
In order to double the power dissipated in the resistor R,I should <strong>In order to double the power dissipated in the resistor R,I should  </strong> A)double the resistance R. B)double the voltage V. C)increase the voltage V by about 40%. D)decrease the resistance R by a factor of four. E)decrease the voltage V by a factor of two. <div style=padding-top: 35px>

A)double the resistance R.
B)double the voltage V.
C)increase the voltage V by about 40%.
D)decrease the resistance R by a factor of four.
E)decrease the voltage V by a factor of two.
Question
Suppose your air conditioner draws 5.5A while cooling your bedroom.How many moles of electrons pass through the air conditioner each hour the AC is on?

A)0.25
B)2.0
C)0.024
D)0.21
E)2.4 * 10-7
Question
A ribbon of nichrome (resistivity = 1.00 * 10-6 Ω\varOmega ·m)with a rectangular cross sectional area of (0.25 mm * 1.00 mm)will be used as a heating element in a toaster.How long should this ribbon be,if the total resistance is intended to be 1.5 Ω\varOmega ?

A)1.24 cm
B)2.79 cm
C)12.4 cm
D)21.9 cm
E)37.5 cm
Question
Assuming that the drift velocity in a wire of with cross sectional area 69 mm2 is 4.12 * 10-8 m/s and the current in the wire is current I = 30 mA,what is the density of electrons in the wire?

A)0.812 * 1029 electrons per m3
B)0.845 * 1029 electrons per m3
C)0.702 * 1029 electrons per m3
D)0.756 * 1029 electrons per m3
E)0.660 * 1029 electrons per m3
Question
What is the current supplied by the battery? <strong>What is the current supplied by the battery?  </strong> A)9.9 A B)6.6 A C)3.3 A D)2.2 A E)165 A <div style=padding-top: 35px>

A)9.9 A
B)6.6 A
C)3.3 A
D)2.2 A
E)165 A
Question
The resistivity of a metal at room temperature is 2.35 * 10-8 Ω\varOmega *m.When the same metal is 150 \circ C above room temperature,its resistivity is 4.55 * 10-8 Ω\varOmega *m.What is the temperature coefficient for this metal?

A)5.38 * 10-3/K.
B)3.98 * 10-3/K.
C)2.64 * 10-3/K.
D)6.24 *10-3/K.
E)7.15 * 10-3/K.
Question
Assuming there are 0.845 * 1029 electrons per m3 and the drift velocity in a wire is 4.12 * 10-8 m/s.If the current in the wire is 30 mA,what is the cross-sectional area of the wire?

A)50 mm2
B)69 mm2
C)63 mm2
D)45 mm2
E)54 mm2
Question
The resistivity of gold at room temperature is 2.35 * 10-8 Ω\varOmega *m.The temperature coefficient α\alpha = 3.98 * 10-3/K.What will be the resistivity of a piece of gold whose temperature is 150 \circ C above room temperature?

A)2.35 * 10-6 Ω\varOmega *m
B)4.55 * 10-8 Ω\varOmega *m
C)0.95 * 10-9 Ω\varOmega *m
D)2.35 * 10-8 Ω\varOmega *m
E)3.75 * 10-8 Ω\varOmega *m
Question
Which one of these circuits has the highest resistance between points A and B? <strong>Which one of these circuits has the highest resistance between points A and B?  </strong> A)The left one has the highest resistance. B)The middle one has the highest resistance. C)The right one has the highest resistance. D)All three have the same resistance. E)The middle and right ones have the same resistance,and the left one's is lower. <div style=padding-top: 35px>

A)The left one has the highest resistance.
B)The middle one has the highest resistance.
C)The right one has the highest resistance.
D)All three have the same resistance.
E)The middle and right ones have the same resistance,and the left one's is lower.
Question
The current of 0.15 A flows through three resistors,R1 = 20 Ohm,R2 = 50 Ohm,R3 = 65 Ohm,connected in series.What is the power dissipated in the R2 resistor?

A)7.5 W
B)5.0 W
C)1.125 W
D)333 W
E)375 W
Question
What is the total power dissipated in both resistors? <strong>What is the total power dissipated in both resistors?  </strong> A)0.68 W B)5.2W C)12.3 W D)168 W E)257 W <div style=padding-top: 35px>

A)0.68 W
B)5.2W
C)12.3 W
D)168 W
E)257 W
Question
A ribbon of nichrome (resistivity = 1.00 * 10-6 Ω\varOmega ·m)with a rectangular cross sectional area of (0.25 mm * 1.00 mm)and 21.9 cm in length is used as a heating element in a toaster.What is the total resistance of this ribbon?

A)0.88 Ω\varOmega
B)1.3 Ω\varOmega
C)1.1 Ω\varOmega
D)1.5 Ω\varOmega
E)1.0 Ω\varOmega
Question
A wire of radius R carries a current I.The current density is given by the function J = J0 (1 - r/R)where r is measured from the center of the wire and J0 is a constant.What is the value of J0 if I = 1A,R = 1.5 mm (in A/m2)?

A)3.18 * 10-1
B)4.76 * 103
C)1.06 * 105
D)4.24 * 105
E)2.12 * 105
Question
The resistivity of gold at room temperature is 2.35 * 10-8 Ω\varOmega *m and its temperature coefficient is 3.98*10-3/K.At what temperature will its resistivity equal 4.55 *10-8 Ω\varOmega *m?

A)486 \circ C above room temperature
B)130 \circ C above room temperature
C)150 \circ C above room temperature
D)425 \circ C above room temperature
E)235 \circ C above room temperature
Question
Consider this circuit.Let R1 = R2 = R3 = R4 = R5 = 10 Ω\varOmega .If V= 20 V then what is the current IV going through the circuit?  <strong>Consider this circuit.Let R<sub>1</sub> = R<sub>2</sub> = R<sub>3</sub> = R<sub>4</sub> = R<sub>5</sub> = 10  \varOmega .If V= 20 V then what is the current I<sub>V</sub> going through the circuit?  </strong> A)0.5 A B)1.0 A C)1.5 A D)2.0 A E)10.0 A <div style=padding-top: 35px>

A)0.5 A
B)1.0 A
C)1.5 A
D)2.0 A
E)10.0 A
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Deck 25: Current and Resistance
1
A current of 0.500 A flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 1028 electrons/m3.What is the electron drift velocity in the wire?

A)1.24 * 10-8 m/s
B)1.84 * 10-8 m/s
C)7.34 * 10-4 m/s
D)1.84 * 10-4 m/s
E)3.69 * 10-4 m/s
7.34 * 10-4 m/s
2
The emf (electromotive force)is an

A)electric force vector.
B)electric force magnitude.
C)electric field vector.
D)electric field magnitude.
E)None are correct.
None are correct.
3
A copper wire is connected across a battery.The direction of the current in the wire is

A)the same as the direction in which the electrons move.
B)opposite the direction in which the electrons move.
C)the same as the direction in which the protons move.
D)opposite the direction in which the protons move.
opposite the direction in which the electrons move.
4
The equivalent resistance of the circuit shown if  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega   .If  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega   and  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega   ,what is the resistance of R1?  <strong>The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  </strong> A)11  \varOmega  B)2.9  \varOmega  C)4.1  \varOmega  D)5.2  \varOmega  E)7.7  \varOmega

A)11 Ω\varOmega
B)2.9 Ω\varOmega
C)4.1 Ω\varOmega
D)5.2 Ω\varOmega
E)7.7 Ω\varOmega
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5
What is the equivalent resistance of the circuit shown if  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega   ,  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega   ,and  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega   ?  <strong>What is the equivalent resistance of the circuit shown if   ,   ,and   ?  </strong> A)7.7  \varOmega  B)10  \varOmega  C)56  \varOmega  D)61  \varOmega

A)7.7 Ω\varOmega
B)10 Ω\varOmega
C)56 Ω\varOmega
D)61 Ω\varOmega
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6
A copper wire has a diameter of dCu = 0.0400 cm,is 3.00 m long,has a resistivity of 1.72 * 10-8 Ω\varOmega m and has a carrier density of 8.50 * 1028 electrons/m3.The copper wire is attached to an equal length of aluminum wire with a diameter of dAl = 0.0200 cm,and a carrier density of 6.02 * 1028 electrons/m3.A current of 0.400 A flows through the copper and aluminum wires.What is the ratio of the current densities JCu/JAl in the two wires?

A)0.25
B)0.50
C)2
D)3
E)4
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7
A current flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 1028 electrons/m3.If the electron drift velocity is 1.84 * 10-4 m/s,what is the current in the wire?

A)0.500 A
B)0.125 A
C)0.313 A
D)0.102 A
E)0.230 A
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8
A copper wire has a diameter of dCu = 0.0400 cm,is 3.00 m long,has a resistivity of 1.72 * 10-8 Ω\varOmega m and has a carrier density of 8.50 * 1028 electrons/m3.The copper wire is attached to an equal length of aluminum wire with a a carrier density of 6.02 * 1028 electrons/m3.A current of 0.400 A flows through the copper and aluminum wires.If the ratio of the current densities the two wires,JCu/JAl is 0.50,what is the diameter of the aluminum wire?

A)0.0800 cm
B)0.0283 cm
C)0.0200 cm
D)0.0565 cm
E)0.0400 cm
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9
A potential difference of 0.994 V is applied across a 170 m long,11-gauge wire copper wire.What is the current in the wire?

A)1.42 A
B)0.650 A
C)1.00 A
D)1.75 A
E)0.702 A
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10
A certain brand of hot dog cooker applies a potential difference of 120 V to opposite ends of the hot dogs and cooks by means of the joule heat produced.If energy of 62 kJ is needed to cook each hot dog,what current is needed to cook four hot dogs simultaneously in 1.5 min? Assume a parallel connection.

A)2.5 A
B)5.1 A
C)10 A
D)15 A
E)23 A
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11
If the current through a resistor is increased by a factor of 4,how does this affect the power dissipated?

A)It decreases by a factor of 4.
B)It increases by a factor of 4.
C)It decreases by a factor of 8.
D)It increases by a factor of 16.
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12
What is the resistance of a 15.0-m long,24-gauge (0.511 mm diameter)copper wire? The resistivity of copper is 1.72 * 10-8 Ω\varOmega m.

A)0.315 Ω\varOmega
B)1.26 Ω\varOmega
C)1.52 Ω\varOmega
D)0.534 Ω\varOmega
E)1.89 Ω\varOmega
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13
N identical resistors are connected in parallel.The resistance of one of them is equal to R.What is the equivalent resistance of all N resistors?

A)R/N
B)R
C)NR
D)None are correct.
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14
A resistor of unknown resistance and a 52-W resistor are connected across a 120-V emf in such a way that a 12-A current is observed in the emf.What is the value of the unknown resistance?

A)12.4 Ω\varOmega
B)15.8 Ω\varOmega
C)2.3 Ω\varOmega
D)3.4 Ω\varOmega
E)6.9 Ω\varOmega
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15
A 22-gauge copper wire has a radius of 0.645 mm,is 5.00 m long,and has a resistivity ρ\rho = 1.72 * 10-8 Ω\varOmega m.The maximum current for which this wire is rated is 0.920A.What is the maximum electric potential difference that may be applied to this wire without overloading it?

A)0.0605 V
B)0.112 V
C)0.242 V
D)0.342 V
E)0.561 V
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16
If the electric potential across a resistor is increased by a factor of 4,how does this affect the power dissipated?

A)It decreases by a factor of 4.
B)It increases by a factor of 4.
C)It decreases by a factor of 8.
D)It increases by a factor of 16.
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17
At a critical junction in a supercomputer,the current as a function of time is given as i(t)= 3t2 -2t,where i is measured in milliamps and t is measured in seconds.How much charge passes through this critical junction during the interval 0 < t < 5.00 s?

A)28.0 mC
B)65.0 mC
C)100 mC
D)150 mC
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18
The current in an 11-gauge wire copper wire is 1.0 A and the wire is 170 m long.What is the potential difference across the wire?

A)1.01 V
B)1.43 V
C)0.994 V
D)0.852 V
E)0.701 V
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19
A potential difference of V = 0.500 V is applied across the length of a rectangular block of silicon (Si)with resistivity 8.70 *10-4 Ω\varOmega m.The dimensions of the Si block are: width 1.50 mm;thickness 0.400 mm;and length L = 20.0 cm.You may assume that the current density in the Si block is uniform and that currents in Si obey Ohm's law.What is the resistance of this Si block?

A)92.3 Ω\varOmega
B)362 Ω\varOmega
C)78.4 Ω\varOmega
D)290 Ω\varOmega
E)452 Ω\varOmega
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20
N identical resistors are connected in series.The resistance of one of them is equal to R.What is the equivalent resistance of all N resistors?

A)R/N
B)R
C)NR
D)None are correct.
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21
What is the battery current Ibat when the switch in the figure is closed? <strong>What is the battery current I<sub>bat</sub> when the switch in the figure is closed?  </strong> A)8.0 A B)9.14 A C)1.09 A D)12.5 A

A)8.0 A
B)9.14 A
C)1.09 A
D)12.5 A
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22
In the circuit shown,R1 = 3 Ω\varOmega ,R2 = 6 Ω\varOmega ,R3 = 20 Ω\varOmega ,and Ω\varOmega = 12 V.Calculate the magnitude of current flowing through R3 on the left branch of the circuit (marked with ☺).  <strong>In the circuit shown,R<sub>1</sub> = 3 \varOmega ,R<sub>2</sub> = 6  \varOmega ,R<sub>3</sub> = 20  \varOmega ,and  \varOmega  = 12 V.Calculate the magnitude of current flowing through R<sub>3</sub> on the left branch of the circuit (marked with ☺).  </strong> A)0.5 A B)1.0 A C)0.25 A D)2.0 A

A)0.5 A
B)1.0 A
C)0.25 A
D)2.0 A
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23
Which of the following has the smallest current flowing through it?

A)a 1-m long copper wire of diameter 1 mm connected to a battery of 10 V
B)a 0.5-m long copper wire of diameter 0.5 mm connected to a 5-V battery
C)a 2-m long copper wire of diameter 2 mm connected to a 20-V battery
D)a 1-m long copper wire of diameter 0.5 mm connected to a 5-V battery
E)All of the choices have the same current.
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24
A 100-W light bulb is connected to a 120-V DC power outlet.If the wires leading to that power outlet have a resistance of 1.2 ohms,how much power is wasted in the connecting wires?

A)0.83 W
B)1.0 W
C)1.2 W
D)1.4 W
E)99 W
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25
A 1-m copper wire with a radius of 0.5 mm is stretched to a distance of 2 m.What is the fractional change in resistance Δ\Delta R/R as the wire is stretched?

A)1.0
B)2.5
C)3.0
D)4.3
E)5.4
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26
Which of the following has the largest current flowing through it?

A)a 1-m long copper wire of diameter 1 mm connected to a battery of 10 V
B)a 0.5-m long copper wire of diameter 0.5 mm connected to a 5-V battery
C)a 2-m long copper wire of diameter 2 mm connected to a 20-V battery
D)a 1-m long copper wire of diameter 0.5 mm connected to a 5-V battery
E)All of the choices have the same current.
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27
A 10-ohm resistor is attached to a 20-ohm resistor in series.This combination is then attached to a 30-ohm resistor in parallel.This is then connected to a 120-V battery.What is the current flow through the 20-ohm resistor?

A)4.0 A
B)6.0 A
C)8.0 A
D)16 A
E)18 A
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28
A circuit consists of a copper wire of length 10 m and radius 1 mm.The wire is connected to a 10-V battery.An aluminum wire of length 5 m is connected to the same battery and dissipates the same amount of power.What is the radius of the aluminum wire?

A)0.91 mm
B)0.84 mm
C)1.12 mm
D)0.45 mm
E)0.65 mm
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29
After a long period of use,contacts in an electric bulb socket could corrode and introduce extra resistance in the circuit.Suppose a light bulb socket is very badly corroded and you are using a 100-W bulb in the corroded socket at 120 V.As a result,the actual power dissipated in the bulb is 80.0 W.What is the resistance of the badly corroded socket?

A)10 Ω\varOmega
B)13 Ω\varOmega
C)17 Ω\varOmega
D)21 Ω\varOmega
E)25 Ω\varOmega
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30
Two identical bulbs,A and B,are connected in an electrical circuit as shown in the figure.R is the resistance connected in series with the each bulb.Initially they are glowing with equal intensity.Bulb A is removed from the socket;the potential difference across the empty socket A will <strong>Two identical bulbs,A and B,are connected in an electrical circuit as shown in the figure.R is the resistance connected in series with the each bulb.Initially they are glowing with equal intensity.Bulb A is removed from the socket;the potential difference across the empty socket A will  </strong> A)decrease. B)increase. C)not change. D)become zero.

A)decrease.
B)increase.
C)not change.
D)become zero.
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31
A circuit consists of a copper wire of length 10 m and radius 1 mm.The wire is connected to a 10-V battery.An aluminum wire of radius 0.50 mm is connected to the same battery and dissipates the same amount of power.What is the length of the aluminum wire?

A)5.00 m
B)2.50 m
C)1.87 m
D)1.52 m
E)3.74 m
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32
In circuit shown,three identical light bulbs are connected.Initially switch S is closed.When switch S is opened,bulb 3 turns off.As for bulbs 1 and 2,which statement is true? <strong>In circuit shown,three identical light bulbs are connected.Initially switch S is closed.When switch S is opened,bulb 3 turns off.As for bulbs 1 and 2,which statement is true?  </strong> A)Bulb 1 gets brighter while bulb 2 gets dimmer. B)Both bulbs 1 and 2 get brighter. C)Both bulbs 1 and 2 get dimmer. D)Bulb 1 gets dimmer while bulb 2 gets brighter.

A)Bulb 1 gets brighter while bulb 2 gets dimmer.
B)Both bulbs 1 and 2 get brighter.
C)Both bulbs 1 and 2 get dimmer.
D)Bulb 1 gets dimmer while bulb 2 gets brighter.
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33
A current flows through an aluminum wire.The aluminum wire has a length of 2.00 m,a diameter of 0.0300 cm,and a carrier density of 6.02 * 1028 electrons/m3.If the electron drift velocity is 1.84 * 10-4 m/s,what is the current density in the wire?

A)1.93 * 106 A/m2
B)1.18 * 106 A/m2
C)1.36 * 106 A/m2
D)1.53 * 106 A/m2
E)1.77 * 106 A/m2
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34
A 10-ohm resistor is attached to a 20-ohm resistor in series.This combination is then attached to a 30-ohm resistor in parallel.This is then connected to a 120-V battery.What is the current drawn from the battery?

A)2.0 A
B)2.2 A
C)3.3 A
D)8.0 A
E)1800 A
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35
After a long period of use,contacts in an electric bulb socket could corrode and introduce extra resistance in the circuit.Suppose a light bulb socket is very badly corroded and has 10 ohm of resistance.If you are using a 100-W bulb in the corroded socket at 120 V,the actual power dissipated in the bulb is

A)139.5 W.
B)112 W.
C)93.5 W.
D)87.4 W.
E)67.1 W.
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36
In an emergency you need to power a radio that uses 25 W of power when attached to a 6.0-V power supply.The only power supply you have access to provides 120 V,but you do have a very large number of 4.0-ohm resistors.If you want the power in the radio to be as closes as possible to 25 W,how many resistors do you need to use?

A)5
B)7
C)10
D)120
E)144
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37
Two resistors of resistance R are connected in series.The combination is connected in parallel to a resistor of resistance 2R.What is the resistance of this combination of resistors?

A)0.5 R
B)R
C)1.0 R
D)2.0 R
E)2.5 R
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38
A 12.0-V battery is connected to a 7.54-ohm resistor and a current of 0.999A is measured to flow through the resistor.How much power is dissipated as heat inside the battery?

A)zero
B)4.47 W
C)7.10 W
D)12.0 W
E)19.1 W
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39
Two resistors of resistance R are connected in parallel.The combination is connected in series to a resistor of resistance 2R.What is the resistance of this combination of resistors?

A)0.5 R
B)R
C)1.0 R
D)2.0 R
E)2.5 R
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40
A copper wire of diameter 2 mm carries 12 A of current for an electric stove.Assuming the resistivity of copper of 1.7 * 10-8 Ω\varOmega .m,the power dissipated in 2 m length of the wire is

A)0.72 W.
B)0.98 W.
C)1.23 W.
D)1.44 W.
E)1.56 W.
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41
Assuming that there are 0.845 * 1029 electrons per m3 in a wire with cross sectional area 69 mm2 and drift velocity 4.12 * 10-8 m/s,what is the density current in the wire?

A)557 A/m2
B)348 A/m2
C)300 A/m2
D)807 A/m2
E)652 A/m2
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42
Assuming that there are 0.845 * 1029 electrons per m3 in a wire of with cross sectional area 69 mm2 and carrying a current of 30 mA,what is the drift velocity?

A)3.21 * 10-8 m/s
B)2.52 * 10-5 m/s
C)8.22 * 10-3 m/s
D)4.12 * 106 m/s
E)3.00 * 108 m/s
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43
A particular wire has a diameter of 1.7 mm and length of 1.3 m.If 45 μ\mu V is the potential drop measured across the wire when 3.0 mA flow in it,what is the resistivity of the metal from which it is made?

A)1.0 * 10-7 Ω\varOmega m
B)2.6 * 10-8 Ω\varOmega m
C)4.4 *10-6 Ω\varOmega m
D)1.8 * 10-5 Ω\varOmega m
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44
A battery has an internal resistance of 1.3 Ω\varOmega and a voltage of 48 V.What is the load resistance which causes the voltage to drop to 45.4 V?

A)22.7
B)0.587
C)1.37
D)2.63
E)3.23
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45
Assuming that there are 0.845 * 1029 electrons per m3 in a wire with cross sectional area 69 mm2 and drift velocity 4.12 * 10-8 m/s,what is the current in the wire?

A)25 mA
B)38 mA
C)33 mA
D)30 mA
E)18 mA
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46
A circuit containing a battery with V = 10.3 V and a resistor R1 = 15.7 Ω\varOmega is shown.If we replace the wire between points a and b with a second resistor R2 = 26.8 Ω\varOmega ,by how much (in a)will the total current through the battery change?  <strong>A circuit containing a battery with V = 10.3 V and a resistor R1 = 15.7  \varOmega  is shown.If we replace the wire between points a and b with a second resistor R2 = 26.8  \varOmega ,by how much (in a)will the total current through the battery change?  </strong> A)-0.265 B)-0.331 C)-0.414 D)-0.517 E)-0.646

A)-0.265
B)-0.331
C)-0.414
D)-0.517
E)-0.646
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47
A particular wire has a diameter of 1.7 mm and length of 1.3 m.If its resistance is 15 m Ω\varOmega ,what is the resistivity of the metal from which it is made?

A)1.0 * 10-7 Ω\varOmega m
B)2.6 * 10-8 Ω\varOmega m
C)4.4 * 10-6 Ω\varOmega m
D)1.8 * 10-5 Ω\varOmega m
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48
A battery has an unloaded terminal voltage of 48 V.When a load of 15 Ω\varOmega is connected to the battery,the terminal voltage drops to 45.4 V.What is the internal resistance of the battery?

A)1.0 Ω\varOmega
B)1.2 Ω\varOmega
C)1.3 Ω\varOmega
D)0.86 Ω\varOmega
E)0.95 Ω\varOmega
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49
In the circuit shown,R1 = 9.00 Ω\varOmega ,R2 = 14.0 Ω\varOmega ,R3 = 2.50 Ω\varOmega ,and V = 16.0 V.Find the total power dissipated in the circuit (in W).  <strong>In the circuit shown,R1 = 9.00  \varOmega ,R2 = 14.0  \varOmega ,R3 = 2.50  \varOmega ,and V = 16.0 V.Find the total power dissipated in the circuit (in W).  </strong> A)10.53 B)15.26 C)22.13 D)32.09 E)46.53

A)10.53
B)15.26
C)22.13
D)32.09
E)46.53
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50
What is the current that flows out of the ideal 9-V battery in the circuit in the figure? <strong>What is the current that flows out of the ideal 9-V battery in the circuit in the figure?  </strong> A)0.07 A B)0.43 A C)0.54 A D)0.90 A E)3.0 A

A)0.07 A
B)0.43 A
C)0.54 A
D)0.90 A
E)3.0 A
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51
What is the current in the 20 Ω\varOmega resistor in the circuit in the figure?  <strong>What is the current in the 20  \varOmega resistor in the circuit in the figure?  </strong> A)0.33 A B)0.60 A C)1.0 A D)1.5 A E)3.0 A

A)0.33 A
B)0.60 A
C)1.0 A
D)1.5 A
E)3.0 A
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52
Two cylinders are made out of the same material and are of equal length as shown.The cylinders are connected to a battery with voltage Vb as shown.If the voltage drop across resistor R2 is 0.810 * Vb,what is the ratio of the radii r1/r2 of the two cylinders? <strong>Two cylinders are made out of the same material and are of equal length as shown.The cylinders are connected to a battery with voltage Vb as shown.If the voltage drop across resistor R2 is 0.810 * Vb,what is the ratio of the radii r1/r2 of the two cylinders?  </strong> A)1.10 B)1.29 C)1.51 D)1.76 E)2.06

A)1.10
B)1.29
C)1.51
D)1.76
E)2.06
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53
What is voltage across the 8 Ω\varOmega resistor?  <strong>What is voltage across the 8  \varOmega resistor?  </strong> A)4 V B)8 V C)12 V D)1/4 V E)1/8 V

A)4 V
B)8 V
C)12 V
D)1/4 V
E)1/8 V
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54
When two resistors are connected in parallel across a 12-V battery,6.3 A flows.If the smaller resistor is 2.5 Ω\varOmega how much current flows when the two are put in series across the same battery?

A)0.66 A
B)1.1 A
C)1.3 A
D)3.0 A
E)3.8 A
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55
Two conductors are made from the same material and are of the same length but one has a circular cross sectional area with diameter 1.2 mm and the other is square with 0.6 mm on each side.What is the ratio Rcircular/Rsquare of their resistances?  <strong>Two conductors are made from the same material and are of the same length but one has a circular cross sectional area with diameter 1.2 mm and the other is square with 0.6 mm on each side.What is the ratio R<sub>circular</sub>/R<sub>square</sub> of their resistances?  </strong> A)R<sub>circular</sub>/R<sub>square</sub> = 2 B)R<sub>circular</sub>/R<sub>square</sub> = 1/ \pi  C)R<sub>circular</sub>/R<sub>square</sub> =  \pi /2 D)R<sub>circular</sub>/R<sub>square</sub> = 4 E)R<sub>circular</sub>/R<sub>square</sub> = 1/2

A)Rcircular/Rsquare = 2
B)Rcircular/Rsquare = 1/ π\pi
C)Rcircular/Rsquare = π\pi /2
D)Rcircular/Rsquare = 4
E)Rcircular/Rsquare = 1/2
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56
A battery has an internal resistance of 1.3 Ω\varOmega and a voltage of 48.0 V.Is a load of 15.0 Ω\varOmega is connected to the battery,what is the voltage across the terminals of the battery?

A)48.0 V
B)44.2 V
C)45.4 V
D)39.6 V
E)42.0 V
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57
When two resistors are connected in series across a 12-V battery,1.1A flows.When they are connected in parallel across the same battery,6.3A flows.What is the smaller resistor's value?

A)2.5 Ω\varOmega
B)8.4 Ω\varOmega
C)1.7 Ω\varOmega
D)0.55 Ω\varOmega
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58
A battery has an internal resistance of 1.3 Ω\varOmega and a voltage of 48.0 V.Is a load of 15.0 Ω\varOmega is connected to the battery,what is the current supplied by the battery

A)2.94 A
B)37.0 A
C)2.63 A
D)3.20 A
E)2.48 A
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59
Two identical light bulbs are connected to a battery.Will the light bulbs be brighter if they are connected to the battery in series or in parallel?

A)in series
B)in parallel
C)The brightness will be the same in series and in parallel.
D)There is not enough information to determine an answer.
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60
A particular wire has a diameter of 1.7 mm and length of 1.3 m.If the resistivity of the metal from which the wire is made is 2.0 * 10-8 Ω\varOmega m,and 45 μ\mu V is the observed potential drop measured across the wire,what current is flowing in the wire?

A)3.9 mA
B)6.6 mA
C)16 mA
D)26 mA
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61
What is the current in the 5 Ω\varOmega resistor?  <strong>What is the current in the 5  \varOmega  resistor?  </strong> A)3.3 A B)2.2 A C)330 A D)6.6 A E)165 A

A)3.3 A
B)2.2 A
C)330 A
D)6.6 A
E)165 A
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62
A ribbon of nichrome (resistivity = 1.00 * 10-6 Ω\varOmega ·m)with a rectangular cross sectional area and length 21.9 cm is used as a heating element in a toaster.What is the cross-sectional area of the ribbon,if the total resistance is intended to be 1.5 Ω\varOmega ?

A)1.24 mm2
B)1.02 mm2
C)0.79 mm2
D)0.25 mm2
E)0.33 mm2
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63
A ribbon of material with a rectangular cross sectional area of (0.25 mm * 1.00 mm),length 21.9 cm and resistance 1.5 Ω\varOmega is used as a heating element in a toaster.What is the resistivity of the material?

A)1.50 * 10-6 Ω\varOmega ·m
B)1.71 * 10-6 Ω\varOmega ·m
C)1.31 * 10-6 Ω\varOmega ·m
D)1.97 * 10-6 Ω\varOmega ·m
E)1.00 * 10-6 Ω\varOmega ·m
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64
A wire of length L,diameter d,resistance R is made of material with resistivity ρ\rho .If I take the wire and cut it into five equal pieces and then put those pieces in parallel to make one single thick wire L/5 in length,what will be its resistance?

A)R/5
B)R/25
C)R
D)5R
E)25R
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65
Suppose,while cooling your bedroom 0.25 moles of electrons pass through your air conditioner each hour.What current does your air conditioner draw when it is running?

A)6.7 A
B)25 A
C)15 A
D)8.3 A
E)5.5 A
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66
In order to double the power dissipated in the resistor R,I should <strong>In order to double the power dissipated in the resistor R,I should  </strong> A)double the resistance R. B)double the voltage V. C)increase the voltage V by about 40%. D)decrease the resistance R by a factor of four. E)decrease the voltage V by a factor of two.

A)double the resistance R.
B)double the voltage V.
C)increase the voltage V by about 40%.
D)decrease the resistance R by a factor of four.
E)decrease the voltage V by a factor of two.
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67
Suppose your air conditioner draws 5.5A while cooling your bedroom.How many moles of electrons pass through the air conditioner each hour the AC is on?

A)0.25
B)2.0
C)0.024
D)0.21
E)2.4 * 10-7
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68
A ribbon of nichrome (resistivity = 1.00 * 10-6 Ω\varOmega ·m)with a rectangular cross sectional area of (0.25 mm * 1.00 mm)will be used as a heating element in a toaster.How long should this ribbon be,if the total resistance is intended to be 1.5 Ω\varOmega ?

A)1.24 cm
B)2.79 cm
C)12.4 cm
D)21.9 cm
E)37.5 cm
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69
Assuming that the drift velocity in a wire of with cross sectional area 69 mm2 is 4.12 * 10-8 m/s and the current in the wire is current I = 30 mA,what is the density of electrons in the wire?

A)0.812 * 1029 electrons per m3
B)0.845 * 1029 electrons per m3
C)0.702 * 1029 electrons per m3
D)0.756 * 1029 electrons per m3
E)0.660 * 1029 electrons per m3
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70
What is the current supplied by the battery? <strong>What is the current supplied by the battery?  </strong> A)9.9 A B)6.6 A C)3.3 A D)2.2 A E)165 A

A)9.9 A
B)6.6 A
C)3.3 A
D)2.2 A
E)165 A
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71
The resistivity of a metal at room temperature is 2.35 * 10-8 Ω\varOmega *m.When the same metal is 150 \circ C above room temperature,its resistivity is 4.55 * 10-8 Ω\varOmega *m.What is the temperature coefficient for this metal?

A)5.38 * 10-3/K.
B)3.98 * 10-3/K.
C)2.64 * 10-3/K.
D)6.24 *10-3/K.
E)7.15 * 10-3/K.
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72
Assuming there are 0.845 * 1029 electrons per m3 and the drift velocity in a wire is 4.12 * 10-8 m/s.If the current in the wire is 30 mA,what is the cross-sectional area of the wire?

A)50 mm2
B)69 mm2
C)63 mm2
D)45 mm2
E)54 mm2
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73
The resistivity of gold at room temperature is 2.35 * 10-8 Ω\varOmega *m.The temperature coefficient α\alpha = 3.98 * 10-3/K.What will be the resistivity of a piece of gold whose temperature is 150 \circ C above room temperature?

A)2.35 * 10-6 Ω\varOmega *m
B)4.55 * 10-8 Ω\varOmega *m
C)0.95 * 10-9 Ω\varOmega *m
D)2.35 * 10-8 Ω\varOmega *m
E)3.75 * 10-8 Ω\varOmega *m
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74
Which one of these circuits has the highest resistance between points A and B? <strong>Which one of these circuits has the highest resistance between points A and B?  </strong> A)The left one has the highest resistance. B)The middle one has the highest resistance. C)The right one has the highest resistance. D)All three have the same resistance. E)The middle and right ones have the same resistance,and the left one's is lower.

A)The left one has the highest resistance.
B)The middle one has the highest resistance.
C)The right one has the highest resistance.
D)All three have the same resistance.
E)The middle and right ones have the same resistance,and the left one's is lower.
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75
The current of 0.15 A flows through three resistors,R1 = 20 Ohm,R2 = 50 Ohm,R3 = 65 Ohm,connected in series.What is the power dissipated in the R2 resistor?

A)7.5 W
B)5.0 W
C)1.125 W
D)333 W
E)375 W
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76
What is the total power dissipated in both resistors? <strong>What is the total power dissipated in both resistors?  </strong> A)0.68 W B)5.2W C)12.3 W D)168 W E)257 W

A)0.68 W
B)5.2W
C)12.3 W
D)168 W
E)257 W
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77
A ribbon of nichrome (resistivity = 1.00 * 10-6 Ω\varOmega ·m)with a rectangular cross sectional area of (0.25 mm * 1.00 mm)and 21.9 cm in length is used as a heating element in a toaster.What is the total resistance of this ribbon?

A)0.88 Ω\varOmega
B)1.3 Ω\varOmega
C)1.1 Ω\varOmega
D)1.5 Ω\varOmega
E)1.0 Ω\varOmega
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78
A wire of radius R carries a current I.The current density is given by the function J = J0 (1 - r/R)where r is measured from the center of the wire and J0 is a constant.What is the value of J0 if I = 1A,R = 1.5 mm (in A/m2)?

A)3.18 * 10-1
B)4.76 * 103
C)1.06 * 105
D)4.24 * 105
E)2.12 * 105
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79
The resistivity of gold at room temperature is 2.35 * 10-8 Ω\varOmega *m and its temperature coefficient is 3.98*10-3/K.At what temperature will its resistivity equal 4.55 *10-8 Ω\varOmega *m?

A)486 \circ C above room temperature
B)130 \circ C above room temperature
C)150 \circ C above room temperature
D)425 \circ C above room temperature
E)235 \circ C above room temperature
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80
Consider this circuit.Let R1 = R2 = R3 = R4 = R5 = 10 Ω\varOmega .If V= 20 V then what is the current IV going through the circuit?  <strong>Consider this circuit.Let R<sub>1</sub> = R<sub>2</sub> = R<sub>3</sub> = R<sub>4</sub> = R<sub>5</sub> = 10  \varOmega .If V= 20 V then what is the current I<sub>V</sub> going through the circuit?  </strong> A)0.5 A B)1.0 A C)1.5 A D)2.0 A E)10.0 A

A)0.5 A
B)1.0 A
C)1.5 A
D)2.0 A
E)10.0 A
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