Question

In a region, the potential is represented by V(x,y,z) = 6x -8xy -8y +6yz, where V is in  volts and x, y, z and it metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is

(a) 6√5 N

(b) 30 N

(c) 24 N

(d) 4√35 N 

Answer 1

Correct option (d) 4√35 N 

Explanation:

Here V(x,y,z) = 6x -8xy -8y +6yz,

The x, y and z components of electric field are

The magnitude of electric held vector E is