The electric potential at a point $(x, y, z)$ is given by $V = -x^2y - xz^3 + 4$. The electric field at that point is:

  • A
    $\vec{E} = 2xy\hat{i} + (x^2 + y^2)\hat{j} + (3xz - y^2)\hat{k}$
  • B
    $\vec{E} = z^3\hat{i} + xyz\hat{j} + z^2\hat{k}$
  • C
    $\vec{E} = (2xy - z^3)\hat{i} + xy^2\hat{j} + 3z^2x\hat{k}$
  • D
    $\vec{E} = (2xy + z^3)\hat{i} + x^2\hat{j} + 3xz^2\hat{k}$

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