Question

The potential field of an electric field e=yi+xj is

Answer 1

Explanation:

$\frac{ - dV}{dr} = electic \: field$

$\frac{ - dV}{dr} = y i + x j$

$\frac{ - dV}{dr} = - \frac{ dV}{dx} i - \frac{ dV}{dy} j - \frac{ dV}{dz}k \\ \\ \\ \\ \: partial \: \: differentiation$

•°•, by comparing it can be known that

$- \frac{dV}{dx} = y \: \: \: \: \: and \\ \\ \\ - \frac{ dV}{dy} = x$

•°•, by solving any of the above two equations:

$V = - xy$