Determine the electric field strength vector if the potential of this field depends on $x, y$ coordinates as $V=10$ axy
Medium
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(b)

$V=10 a x y$

$E_x=\frac{-d V}{d x}=-10 a y, E_y=\frac{-d V}{d y}=-10 a x$

$\vec{E}=-10 a(y \hat{i}+x \hat{j})$

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