Question

If the work done in bringing a charge of 10^-18c from infinity to point P is 2*10^-17J. what is the electric potential at P?​​

Answer 1

Given,

Total work done in bringing a charge from infinity to point P = 2x10^-17J

Total charge = 10^-18c

To find,

The electric potential at P.

Solution,

We can simply solve this numerical problem by using the following process:

Mathematically,

Work done in bringing a charge from infinity to a point (W) = total charge (q) x electric potential (V)

=> electric potential (V) = Work done in bringing a charge from infinity to a point (W) / total charge (q)

Now, according to the question;

The electric potential at P

= Work done in bringing a charge from infinity to a point (W) / total charge (q)

= 2x10^-17J / 10^-18c

= 20 V

Hence, the electric potential at P is equal to 20 V.