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Q. The potential of the electric field produced by a point charge at any point $(x, y, z)$ is given by; $V=3 x^{2}+5$ where $x$, y, $z$ are in metre and $V$ is in volt. The intensity of the electric field at $ (-2,1,0)$ is:

Electric Charges and Fields

Solution:

$V=3 x^{2}+5$
$E=-\frac{d V}{d x}=-6 x$
Intensity of the electric field at $x=-2$
$=-6(-2)=12 V / m$