## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

$\frac{E_2}{E_1} = \frac{1}{2}$
$\frac{\sigma_2}{\sigma_1} = 2$ We can find an expression for $E_1$: $E_1 = \frac{J}{\sigma_1}$ $E_1 = \frac{I/A}{\sigma_1}$ $E_1 = \frac{I}{\sigma_1~A}$ We can find an expression for $E_2$: $E_2 = \frac{J}{\sigma_2}$ $E_2 = \frac{I/A}{\sigma_2}$ $E_2 = \frac{I}{\sigma_2~A}$ We can find an expression for $\frac{E_2}{E_1}$: $\frac{E_2}{E_1} = \frac{\frac{I}{\sigma_2~A}}{\frac{I}{\sigma_1~A}}$ $\frac{E_2}{E_1} = \frac{\sigma_1}{\sigma_2}$ $\frac{E_2}{E_1} = \frac{1}{2}$