The electric potential V in a space (in metre) is given by $V = (x^{2} - 2 y + y z^{2})$ volt. Find electric field at (0, 1, 0)

$\frac{-^j N}{C}$

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$\frac{+ 2^j N}{C}$

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$\frac{(-^i +^k) N}{C}$

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$\frac{(-^j + 2^k) N}{C}$

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Solution

The correct option is B
$\frac{+ 2^j N}{C}$

$E = - (\frac{\partial V}{\partial x}^i + \frac{\partial V}{\partial y}^j + \frac{\partial V}{\partial z}^k) E = - (2 x^i + (- 2 + z^{2})^j + 2 y z^k)$ at (0,1,0)
$E = \frac{+ 2^j N}{C}$

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