Answer to Question #234578 in Electricity and Magnetism for Macy

Question

An aluminium cable has a resistance of 27ohms at a temperature of 35

Answer 1

$Resistance at \theta ^{^{\circ}}C, R_{\theta }=R_{0}(1+\alpha_{0}\theta )θ$

Hence resistance at 0°C,

$R 0 ​ = \frac{R θ}{(1+α 0 ​ θ)} ​ ​$ = $\frac{27}{[1+(0.0038)(35)]} ​$

$= \frac{27}{1.33}$ = 20.3 ohms