In a certain region of space the potential is given by – V=k[2x²-y²+z²]. The electric field at the point (1,1,1) has magnitude.?

E = - dV/dx

same with respecto y and z

now differentiate line wise and get the ansr.

Plz Approve!

aNS- 2 AND DIRN Z AXIS 

use partial differential to determine the components of the electric field strength vector.

the electric field strength vector is given by 

E = -k(4xi^{^} - 2yj^{^} + 2zk^{^})

therefore at the point (1, 1, 1) the magnitude of the electric field strength is (24)^(1/2).

the ans is-

[(4)^2 +(2)^2+(2)^2]^1\2

i.e.

(24)^1/2