Answer to Question #186724 in Physics for M s

Question

calculate conductivity of gold at 200°c.

Answer 1

The resistivity of gold at 20°C is 2.3·10^-8 Ohm·m. The temperature coefficient of resistance is 0.003715/°C. Thus, the resistivity at 200°C will be

$$\rho=\rho_0(1+\alpha T),$$

and the conductivity

$$\gamma=\frac1\rho=\frac{1}{\rho_0(1+\alpha T)},\\\space\\ \gamma=\frac{1}{2.3·10^{-8}(1+0.003715·200)}=24.94·10^6\text{ Sm/m}.$$