A silver wire has a resistance of 2-1 - at 27-5- C- and a resistance of 2-7 - 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 coe ...

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Byju's Answer

Standard XII

Physics

Conductivity and Resistivity

A silver wire...

Question

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.

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Solution

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

Therefore, the temperature coefficient of silver is 0.0039°C⁻¹.

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