Question

Established a relation between electric Field and potential difference v between two point in the field . Short answer

Answer 1

We know that,

Force on a charge (F) in Electric Field (E) is given by

F = qE -------------- (i)

Now, To place this charge in 'E' you will have to do some work against this Force 'F'.

Therefore, Small work done to move a charge through Potential Difference (V) is


dW = - F.dr -------------- (ii)

From (i) & (ii) we get,

dW = q.E.dr

But dW = q.dV ( For moving a charge through Potential 'V' )

Therefore, q.dV = - F.dr = - q.E.dr

Hence, E = -dV/dr



Hope it Helps!