Electric Potential Due to a Point Charge

The work done in bringing a unit positive charge from infinity to a given point against the direction of electric field is known as ______.

Answer in brief:

A charge q is moved from a point A above a dipole of dipole moment p to a point B below the dipole in an equatorial plane without acceleration. Find the work done in this process.

Three charges –q, +Q, and –q are placed at equal distances on a straight line. If the potential energy of the system of the three charges is zero, then what is the ratio of Q: q?

Derive an expression for the electric potential at a point due to a short electric dipole. Hence, write the expression for the electric potential at a point (i) dipole axis and (ii) on the dipole equator.

A dipole with its charges, - q and + q located at the points (O, -b, O) and (O, +b, O) is present in a uniform electric field E. The equipotential surfaces of this field are planes parallel to the yz plane.

(a) What is the direction of the electric field E?

(b) How much torque would the dipole experience in this field?