Find an expression for the torque experienced by an electric dipole in a uniform electric field. What is the work done in rotating a dipole in a uniform electric field from an angle ${\theta }_1$ to ${\theta }_2$ where ${\theta }_1 \& {\theta }_2$ are the angles made by dipole moment with the uniform electric field.

Define electric potential at a point due to a charge and derive an expression for it.

Four charges $+2 \mathrm{C},-2 \mathrm{C},+2 \mathrm{C} \& -2 \mathrm{C}$ are placed at the four corners of a square $ABCD$ respectively. Find the resultant potential at the point of intersection of two diagonals.

Define potential gradient and establish a relation between potential gradient and electric field intensity.

Two point charges $1.2 \mu C \&\hspace{0.17em}-8.0 \mu C$ are placed $500 mm$ apart. Determine the position where the electric field is $0$.