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  4. Electric potential at any point V=-5 x+3 y+√15 z then the magnitude of the electric filed is

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Q. Electric potential at any point $V=-5 x+3 y+\sqrt{15} z$ then the magnitude of the electric filed is

Solution:

$\vec{E}=-\frac{\partial v}{\partial x} \hat{i}-\frac{\partial v}{\partial y} \hat{j}-\frac{\partial v}{\partial z} \hat{k}$
$\vec{E}=5 \hat{i}-3 j-\sqrt{15} \hat{k}$
$E =\sqrt{25+9+15}=7 \,N C^{-1}$