Ncert Exercises & Solutions

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

Temperature, T1 = $27.5 ° C$

Resistance of the silver wire at T1, R1 = 2.1 $Ω$

Temperature, T2 = $100 ° C$

Resistance of the silver wire at T2, R2 = 2.7 $Ω$

Temperature coefficient of silver = $α$

It is related with temperature and resistance as

$α = \frac{R_{2} - R_{1}}{R_{1} (T_{2} - T_{1})} = \frac{2.7 - 2.1}{2.1 (100 - 27.5)} = 0.0039 ° C^{- 1}$

Therefore, the temperature coefficient of silver is $0.0039 ° C^{- 1}$ .

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