Question

A copper wire has a resistance of 0.39Ω at 20.0°C, and an iron wire has a resistance of 0.6Ω at the same temperature. At what temperature are their resistances equal?

Round your answer to 2 decimal places

Answer 1

$$R_c(1+\alpha_c(T-T_0))=R_i(1+\alpha_i(T-T_0))\\ 0.39(1+0.004041(T-20))\\=0.6(1+0.005671(T-20))\\T=-95.0\degree C$$