All Problems Electric Current
Problem 3.149
At the temperature \(0^{\circ} \mathrm{C}\) the electric resistance of conductor 2 is \(\eta\) times that of conductor 1. Their temperature coefficients of resistance are equal to \(\alpha_{2}\) and \(\alpha_{1}\) respectively. Find the temperature coefficient of resistance of a circuit segment consisting of these two conductors when they are connected (a) in series; (b) in parallel.
(a) \(\alpha=\left(\alpha_{1}+\eta \alpha_{2}\right) /(1+\eta)\) (b) \(\alpha \approx\left(\alpha_{2}+\eta \alpha_{1}\right) /(1+\eta)\)