Four charges are placed at a distance $a$ from the origin as shown in the figure. The dipole moment of the configuration is:

What is the angle between the electric dipole moment and the electric field strength due to it on the equatorial line? $(...^o)$

An electric dipole of moment $p$ is placed in an electric field of intensity $E$. The dipole acquires a position such that the axis of the dipole makes an angle $\theta$ with the direction of the field. Assuming that the potential energy of the dipole is zero when $\theta = 90^o$,the torque and the potential energy of the dipole will respectively be

An electric dipole has a fixed dipole moment $\vec{P}$ which makes an angle $\theta$ with respect to the $x$-axis. When subjected to an electric field $\vec{E_1} = E\hat{i}$,it experiences a torque $\vec{T_1} = \tau\hat{k}$. When subjected to another electric field $\vec{E_2} = \sqrt{3}E\hat{j}$,it experiences a torque $\vec{T_2} = -\vec{T_1}$. The angle $\theta$ is .......$^o$.

The electric potential at a point on the axis of an electric dipole depends on the distance $r$ of the point from the dipole as

An electric dipole of mass $m$,charge $q$,and length $l$ is placed in a uniform electric field $\vec{E} = E_0 \hat{i}$. When the dipole is rotated slightly from its equilibrium position and released,the time period of its oscillations will be: