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  4. The electric potential V at a point P(x, y, z) in space is given by V=4 x2 volt. Electric field at a point (1 m, 0,2 m ) in V / m is

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Q. The electric potential $V$ at a point $P(x, y, z)$ in space is given by $V=4 x^{2}$ volt. Electric field at a point $(1 \,m$, $0,2 \,m$ ) in $V / m$ is

Electrostatic Potential and Capacitance

Solution:

$V=4 x^{2}$
$E_{x}=\frac{-d V}{d x}=-8 x$
$E_{x}=-8$