Question

AI
9.
ins
The electric potential at a point (x, y, z) is given by:
V = -x y - X2 + 4
The electric field Ē at that point is :-
(1) Ē = î (2xy - z3) + xy2 + Ř 3z2x
(2) Ē = î(2xy + 2) + ſx2 + k 3xz2
(3) Ē = î2xy + ſ (x2 + y2) + Ř (3x2 - y2)
(4) Ē = iz3 + ſxyz + k z2
AIPMT(Pre) 2010​

Answer 1

Answer:

it's option 2 mate

Explanation:Ex=−dV/dx=2xy+z^3,Ey=−dV/dy=x^2

Ez=−dV/dz=3xz2

∴Vec(E)=Exiˆ+Eyjˆ+Ezkˆ=(2xy+z3)iˆ+x2jˆ+3xz2kˆ.