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
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
- [AIPMT 2009]
- A
$\vec E = 2xy\hat i + \left( {{x^2} + {y^2}} \right)\hat j + \left( {3xz - {y^2}} \right)\hat k$
- B
$\;\vec E = {z^3}\hat i + xyz\hat j + {z^2}\hat k$
- C
$\;\vec E = \left( {2xy - {z^3}} \right)\hat i + x{y^2}\hat j + 3{z^2}x\hat k$
- D
$\;\vec E = \left( {2xy + {z^3}} \right)\hat i + {x^2}\hat j + 3x{z^2}\hat k$
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- [AIPMT 2011]