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The electric field in a region is given by : $E = (4 a x y \sqrt{z})^i + (2 a x^{2} \sqrt{z})^j + \frac{a x^{2}}{\sqrt{z}}^k$ , where $a$ is a positive constant. The equation for an equipotential surface will be of the form
$k$ is a constant
$z = \frac{k}{x^{3} y^{2}}$
$z = \frac{k}{x y^{2}}$
$z = \frac{k}{x^{4} y^{2}}$
None of these

A

z = \frac{k}{x y^{2}}

B

z = \frac{k}{x^{3} y^{2}}

C

z = \frac{k}{x^{4} y^{2}}

D

None of these

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