Now let’s see how temperature affects the resistance of a copper wire. A length

Question

Now let’s see how temperature affects the resistance of a copper wire. A length of 18 gauge copper wire with a diameter of 1.02 mm and a cross-sectional area of 8.20× 10 7 m 2 has a resistance of 1.02 at a temperature of 20 C . Find the resistance at 0 C and at 100 C . The temperature coefficient of resistivity of copper is 0.0039 ( C ) 1 .

PART A

On a hot summer day in Death Valley, the resistance is 1.15 . What is the temperature?

Express your answer in degrees Celsius to two significant figures.

Explanation / Answer

According to the given problem,

RT = 1.15 T = ?

1.15 = 1.02[1 + 0.0039(T - 200C)]

T = 52.680C

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