The electric potential at any point x,y,z in meters is given by `V=3x^(2)`. The electric field at a point (2m,0,1m)is

Options

A. `12Vm^(-1)`
B. `-6Vm^(-1)`
C. `6Vm^(-1)`
D. `-12Vm^(-1)`

Answer

D

Explanation

Here electric potential `V=3x^(2)`
Electric field `E=-(del V)/(del x)=-(del)/(del x) =-(del)/(del x)(3x^(2))=-6x`
`E_((2m, 0m, 1m)=-12Vm^(-1)`