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An extension cord made of two wires of diameter 0.129 cm(no. 16 copper wire) and

ID: 1421540 • Letter: A

Question

An extension cord made of two wires of diameter 0.129 cm(no. 16 copper wire) and of length 2.9 m is connected to an electric heater which draws 16.5 A on a 120-V line. The resistivity of copper is 1.68×108m.

Part A

How much power is dissipated in the cord?

Express your answer to two significant figures and include the appropriate units.

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An extension cord made of two wires of diameter 0.129 cm(no. 16 copper wire) and of length 2.9 m is connected to an electric heater which draws 16.5 A on a 120-V line. The resistivity of copper is 1.68×108m.

Part A

How much power is dissipated in the cord?

Express your answer to two significant figures and include the appropriate units.

P =

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Explanation / Answer

Resistance = resistivity x Length / crosssection area


R = (1.68 x 10^-8 x 2.9 ) / pi(0.129/2 x 10^-2 )^2


R = 0.0373 ohm


there are two wires so Req = 2R = 0.0745

Power = i^2R = 16.5^2 x 0.0745 = 20.30 W

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