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

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Solution

It is given that the resistance of a silver wire at 27⋅5 °C, R 1 =2⋅1Ω, the resistance of a silver wire at 100 °C, R 2 =2⋅7Ω.

The formula of temperature coefficient is,

α= R 2 − R 1 R 1 ( T 2 − T 1 )

Substitute the values.

α= 2⋅7−2⋅1 2⋅1( 100−27⋅5 ) α=0⋅0039 ° C −1

Thus, the value of the temperature coefficient of silver is 0⋅0039 ° C −1 .

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