A, B, C, D, P, and Q are points in a uniform electric field. The potentials at these points are `V(A) = 2 V. V(P) = V( B) = V(D) = 5 V`, and `V(C) = 8 V`. Find the electric field at P.
.

Options

A. `10 Vm^(-1)` along `PQ`
B. `5 Vm^(-1)` along `PC`
C. `15 sqrt(2)Vm^(-1)` along `PA`
D. `5 Vm^(-1)` along `PA`

Answer

C

Explanation

Field `= - (dV)/(dr)`
Field at `P = - (V_(A) - V_(P))/(Ap)`
`= (3)/(0.1 sqrt(2)) = (30)/(sqrt(2))`
`= 15 sqrt(2)Vm^(-1)`