Derive an expression for the electric potential due to a point charge.

Derive an expression for the electric potential at any point P at a distance r from the center of an electric dipole, making angle alpha with its axis.

Derive the expression for the electric potential at any point along the axial line of an electric dipole.

Deduce an expression for the electric potential due to an electric dipole at any point on its axis. Mention one contrasting feature of electric potential of a dipole at a point as compared to that due to a single charge.

State Gauss's law in electrostatics. Using this law derive an expression for the electric field due to a uniformly charged infinite plane sheet.

What is an electric dipole and electric dipole moment? Derive an expression for electric potential at any point due to an electric dipole. Also discuss the special cases.

(a) Obtain the expression for the potential due to a point charge. (b) Use the above expression to show that the potential, due to an electric dipole (length 2a), varies as the inverse square' of the distance r of the 'field point' from the centre of the dipole for rgta .