Determine the electric field strength vector if the potential of this field depends on $x, y$ coordinates as $V=10$ axy
A$10 a(y \hat{i}+x \hat{j})$
B$-10 a[y \hat{i}+x \hat{j}]$
C$-a[y \hat{i}+x \hat{j}]$
D$-10 a[x \hat{i}+y \hat{k}]$
Medium
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B$-10 a[y \hat{i}+x \hat{j}]$
b (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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