An electric dipole having dipole moment $P = q \times 2\ell$ is placed in a uniform electric field $E$. The dipole moment is along the direction of the field. The force acting on it and its potential energy are respectively

An electric dipole of length $0.5 \text{ }\mu\text{m}$ is placed with its axis making an angle of $30^{\circ}$ with a uniform electric field of $10^4 \text{ V/m}$. If it experiences a torque of $5 \times 10^{-9} \text{ Nm}$, the magnitude of the charge on the dipole is (given $\sin 30^{\circ} = 0.5$). (in $\text{ }\mu\text{C}$)

Write the formulas for the electric field due to an electric dipole and the magnetic field due to a current-carrying loop at a point on their respective equatorial (bisector) lines at a distance $x$.

An electric dipole consists of two equal and opposite charges of $2 \ \mu C$ separated by a distance of $3 \ cm$. If it is placed in an external electric field of $2 \times 10^{5} \ N/C$,the maximum torque experienced by it is:

Out of the following molecules,which one represents a polar molecule?

The electric field due to a short electric dipole at a large distance $(r)$ from the center of the dipole on the equatorial plane varies with distance as: