The electric potential V at any point x, y, z (all in meters) in space is given by `V=4x^2` volts. The electric field at the point (1m, 0, 2m) is……………..`V//m`.

Options

A. `8` along positive `X`-axis
B. `16` along negative `X` axis
C. `16` along `X`-aixs
D. `8` along, negative `X`-axis

Answer

D

Explanation

We know that
`-[hat(i)(delV)/(delx)+hat(j)(delV)/(dely)+hat(k)(delV)/(delz)]`
So, `=-hat(i)(delV)/(delx)=-hat(i)(del)/(delx)(4x^(2))`
`=-8xhat(i)Vm^(-1)`
`E_("(1,0,2)")= -8hat(i)Vm^(-1)`