The potential $V$ is varying with $x$ and $y$ as $V\, = \,\frac{1}{2}\,\left( {{y^2} - 4x} \right)\,volt.$ The field at ($1\,m, 1\,m$ ) is

  • A

    $2\hat i\, + \,\hat j\,\,V/m$

  • B

    $-2\hat i\, + \,\hat j\,\,V/m$

  • C

    $2\hat i\, - \,\hat j\,\,V/m$

  • D

    $-2\hat i\, + \,2\hat j\,\,V/m$

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