Question

The electric potential at a point (x, y, z) is given by: V--x³y + 4z The electric field Ē at that point is
(1) E (2xy-z) + xy² + k3z²x
(2) E-¡(2xy) + 1x² + 4k
(3) E-12xy + 1x² - 4k
(4) E-iz+ jxyz + kz²​

Answer 1

Answer:

Correct option is

A

(2xy+z3)i^+x2j^+3xz2k^

V=−x2y−xz3+4

E=−∂x∂Vi^−∂y∂Vj^−∂z∂Vk^

Now,  ∂x∂V=−2xy−z3

∂y∂V=−x2

∂z∂V=−3xz2

Hence, 

E=(2xy+z3)i^+x2j^+3xz2k^

please brainlist my answers