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

Options

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

Answer

A

Explanation

Electric field, `E=-(dV)/(dr)=-(d)/(dx)(4x^(2))=-8x`
`=-8(1)=-"8 Vm"^(-1)`
Negative sign indicates E is along negative direction of X-axis.