Exam 25: Current and Resistance

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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?

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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?

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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?

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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?

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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 ☺).  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 ☺).

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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?

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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?

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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?

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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.

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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 ?

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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?

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A copper wire is connected across a battery.The direction of the current in the wire is

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The equivalent resistance of the circuit shown if The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  .If The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  and The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?  ,what is the resistance of R1? The equivalent resistance of the circuit shown if   .If   and   ,what is the resistance of R<sub>1</sub>?

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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?

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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?  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?

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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? 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?

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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?

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If the current through a resistor is increased by a factor of 4,how does this affect the power dissipated?

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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?

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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

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