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.

Question

Philoid · Accepted 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.