Q. 74.5( 36 Votes )

A silver wire has a resistance of 2.1 W at 27.5 °C, and a resistance of 2.7 W at 100 °C. Determine the temperature coefficient of resistivity of silver.

Answer :

Resistance of silver wire at 27.5 °C R1 = 2.1 Ω

Resistance of silver wire at 100 ° C R2 = 2.7 Ω

Let temperature coefficient of silver wire is given by α.

The formula for α is: R2 = R1[1 + α(T2-T1)]

R2 - R1 = R1α(T2 - T1)

R2 - R1 = R1α (T2 - T1)

α = 0.0039°C

Temperature Coefficient of silver wire is 0.0039 per °C.

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