Question

Two conductors have the same resistance at 0°C but their temperature coefficients of resistance are α₁ and α₂. The respective temperature coefficients of their series and parallel combinations are nearly

Answer 1

(a) : Let R₀ be the resistance of both conductors at 0°C.

Let R₁ and R₂ be their resistance at t°C. Then
R₁ = R₀(1 + α₁t)
R₂ = R₀(1 + α₂t)
Let R_s is the resistance of the series combination of two conductors at t°C. Then