Exam 18: Electric Currents

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For the graph shown in the figure, what physical quantity does the slope of the graph represent for ohmic material? For the graph shown in the figure, what physical quantity does the slope of the graph represent for ohmic material?

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How much does it cost to operate a 25-W soldering iron for 8.0 hours if energy costs 8.0¢/kWh?

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If a quantity you calculated has units of kg⋅m3 s⋅C2\frac { \mathrm { kg } \cdot \mathrm { m } ^ { 3 } } { \mathrm {~s} \cdot \mathrm { C } ^ { 2 } } what is that quantity?

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The figure shows a graph of the power dissipated in a resistor as a function of the resistance. What quantity does the slope of this graph represent? The figure shows a graph of the power dissipated in a resistor as a function of the resistance. What quantity does the slope of this graph represent?

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A resistor operated at 120 Vdc120 \mathrm {~V} \mathrm { dc } is rated at 1.40 kW1.40 \mathrm {~kW} . (a) What is the normal operating current through the resistor? (b) What is the resistance of the resistor?

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How much energy does a 100-W light bulb use in 8.0 hours?

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The resistivity of a 1.0 m1.0 \mathrm {~m} long copper wire is 1.72×10−8Ω⋅m1.72 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } and its cross sectional area is 2.0×2.0 \times 10−6 m210 ^ { - 6 } \mathrm {~m} ^ { 2 } . If the wire carries a current of 0.20 A0.20 \mathrm {~A} , what is the voltage across the wire?

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The resistivity of the material of a wire is 1.76×10−8Ω⋅m1.76 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } . If the diameter of the wire is 2.00 mm2.00 \mathrm {~mm} and its length is 2.00 m2.00 \mathrm {~m} , what is its resistance?

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Over ordinary temperature ranges, the resistance of most metals such as copper

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A wire of resistivity @ must be replaced in a circuit by a wire of the same material but four times as long. If, however, the total resistance is to remain as before, the diameter of the new wire must

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A certain metal has a resistivity of 1.68×10−8Ω⋅m1.68 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } . You have a long spool of wire made from this metal. If this wire has a diameter of 0.15 mm0.15 \mathrm {~mm} , how long should you cut a segment so its resistance will be 15Ω15 \Omega ?

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What potential difference is required across an 8.0-Ω resistor to cause 2.0 A to flow through it?

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When a thin copper wire that is 178 m178 \mathrm {~m} long is connected between a 1.2−V1.2 - \mathrm { V } potential difference, a current of 2.02.0 amps flows through the wire. What is the diameter of this wire? The resistivity of copper is 1.72×10−8Ω⋅m1.72 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } .

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For the graph shown in the figure, what physical quantity does the slope of the graph represent for a dc circuit? For the graph shown in the figure, what physical quantity does the slope of the graph represent for a dc circuit?

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The length of a certain wire is doubled while its radius is kept constant. What is the new resistance of this wire?

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A electric heater that draws 13.5 A13.5 \mathrm {~A} of dc current has been left on for 10 min10 \mathrm {~min} . How many electrons that have passed through the heater during that time? (e =1.60×10−19C)\left. = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)

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A tungsten wire is 1.50 m1.50 \mathrm {~m} long and has a diameter of 1.00 mm1.00 \mathrm {~mm} . At 20∘C20 ^ { \circ } \mathrm { C } a current of 50 mA50 \mathrm {~mA} flows through this wire. The temperature coefficient of resistivity for this tungsten is 4.5×4.5 \times 10−3/C∘10 ^ { - 3 } / \mathrm { C } ^ { \circ } , and its resistivity at 20∘C20 ^ { \circ } \mathrm { C } is 5.6×10−8Ω⋅m5.6 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } . (a) What is the potential difference across the ends of this wire at 20∘C20 ^ { \circ } \mathrm { C } ? (b) If the wire temperature increases by 100C∘100 \mathrm { C } ^ { \circ } , what potential difference across its ends is now required to produce a current of 50 mA50 \mathrm {~mA} ?

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A 9.0-V battery costs $1.49 and will run a portable CD player for 6.0 hours before running down and needing to be replaced. If this battery supplies a current of 25 mA to the player, what is the Cost of the energy provided by the battery in dollars per kWh?

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For the graph shown in the figure, what physical quantity does the slope of the graph represent for a dc circuit? For the graph shown in the figure, what physical quantity does the slope of the graph represent for a dc circuit?

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What is the resistance of 1.0 m1.0 \mathrm {~m} of a solid cylindrical metal cable having a diameter of 0.400.40 inches and a resistivity of 1.68×10−8Ω⋅m1.68 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } ?

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