The electric postential at a puint \( (x, y, z) \) is given by \[ V=-x^{2} y-x z^{3}+4 \] The el...
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0The electric postential at a puint \( (x, y, z) \) is given by
\[
V=-x^{2} y-x z^{3}+4
\]
The electric field \( \vec{E} \) at that puirul is
(A) \( \vec{E}:-\hat{i}\left(2 x y+z^{3}\right)+\hat{j} x^{2}+\hat{k} 3 x z^{2} \)
(B) \( \overrightarrow{\boldsymbol{E}}=\hat{i} 2 x y+\hat{j}\left(x^{2}+y^{2}\right)+\hat{k}\left(3 x z-y^{3}\right) \)
(C) \( \vec{F}=\hat{i} z^{3}+\hat{j} x y z+\hat{k} z^{2} \)
(D) \( \vec{E}-\hat{i}\left(2 x y-z^{3}\right)+\hat{j} x y^{2}+\hat{k} \cdot 3 z^{2} x \)
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