The potentaial function of an electrostatic field is given by `V = 2 x^2`. Determine the electric field strength at the point `(2 m, 0, 3 m)`.

Options

A. `vec E = 4 hat i(NC^-1)`
B. `vec E = -4 hat i(NC^-1)`
C. `vec E = 8 hat i(NC^-1)`
D. `vec E = -8 hat i(NC^-1)`

Answer

d

Explanation

`E _x = -(d V)/(d x) = -4 x = -4 xx 2 = -8`
`E_y = 0, E_z = 0`
Hence. `vec E = -8 hat i NC^-1`.