As shown in the figure,a charge $+q$ is moved from point $A \,(r, 135^{\circ})$ to point $B \,(r, 45^{\circ})$. If the dipole moment is $p$,what is the work done by an external agent?

Two charges $+q$ and $-q$ are kept at a certain distance apart. Then, at any point on the perpendicular bisector of the line joining the two charges:

An electric dipole consisting of two opposite charges of $2 \times 10^{-6} \text{ C}$ separated by a distance of $3 \text{ cm}$ is placed in an electric field of $2 \times 10^5 \text{ N/C}$. The maximum torque acting on the dipole is:

For an electric dipole, if the magnitude of each charge is $10^{-10} \, \text{stC}$ and the distance between them is $1 \, \mathring{A}$, then the dipole moment is:

The ratio of electric fields on the axis and at the equator of an electric dipole is

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 .......$^o$.