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.
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Explanation

BPD is equipotential line. `V_(P) gt V_(A)`
`:.` Electric field is perpendicular to equipotential line and directed from higher potential to lower potential. i.e., along PA.
`E= -(dV)/(dx) = (3)/(0.2 sqrt2) = (15)/(sqrt2)`
`:. (15)/(sqrt2)` along PA