The electric potential at a point in general 3d-coordinate system is given by the equation V=−x2y−xz3+4 The electric field E at that point is (consider point in general coordinates of x,y,z)
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a
E→=i^2xy+j^x2+y2 +k^3×x−y2
b
E→=i^z3+j^xyz+k^z2
c
E→=i^2xy−z3+j^xy2+k^3z2x
d
E→=i^2xy+z3+j^x2+k^3xz2
answer is D.
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Detailed Solution
The electric potential at a point, v=−x2y−xz3+4The fieldE→=−∇→V=−∂v∂xi^+∂v∂yj^+∂v∂kk^∴E→=i→2xy+z3+jx^2 +k^3xz2