The potential of the electric field produced by point charge at any point (x, y, z) is given by `V = 3x^(2) + 5` , where x ,y are in are in metres and V is in volts. The intensity of the electric field at (-2,1,0) is :

Options

A. `+17 Vm^(-1)`
B. `-17 Vm^(-1)`
C. `+12 Vm^(-1)`
D. `-12 Vm^(-1)`

Answer

D

Explanation

`V = 3x^(2) + 5`
`therefore (dV)/(dx) = 6x`
Intensity of the electric field at `x = -2 = 6 (-2) = -12 Vm^(-1)`