The electric potential at a point (x, y, z) is given by V = - x2y - xz3 + 4 The electric field \(\vec{E}\) at that point is:
1
\(\vec{E}=\hat{i} \ 2xy+\hat{j}(x^2 +y^2)+\hat{k} (3xz-y^2)\)
2
\(\vec{E}=\hat{i}z^3 +\hat{j} \ xyz + \hat{k} \ z^2 \)
3
\(\vec{E}=\hat{i} \ (2xy - z^3) + \hat{j} \ xu^2 + \hat{k} \ 3z^2 x\)
4
\(\vec{E} = \hat{i} (2xy + z^3) + \hat{j}x^2 +\hat{k} \ 3xz^2 \)
5
None of the above/More than one of the above.