Electric potential in a region is varying according to the relation $V=\frac{3 x^2}{2}-\frac{y^2}{4}$, where $x$ and $y$ are in metre and $V$ is in volt. Electric field intensity (in $N/C$) at a point $(1 \,m , 2 \,m$ ) is ......
Medium
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(b)
$V=\frac{3 x^2}{2}-\frac{y^2}{4}$
$E_x=\frac{-d V}{d x}=-3 x=-3$
$E_y=\frac{-d V}{d y}=+\frac{y}{2}=1$
$\vec{E}=-3 \hat{i}+\hat{j}$
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