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

On the axis and on the equator of an electric dipole for all points . . . . . . .

Two ideal electric dipoles $A$ and $B$ having dipole moments $p_{1}$ and $p_{2}$ respectively are placed on a plane with their centers at $O$ as shown in the figure. At point $C$ on the axis of dipole $A$,the resultant electric field makes an angle of $37^{\circ}$ with the axis. The ratio of the dipole moments of $A$ and $B$,$\frac{p_{1}}{p_{2}}$ is $....$ (take $\sin 37^{\circ}=\frac{3}{5}$)

An electric dipole consists of two opposite charges each of magnitude $1 \,\mu C$ separated by a distance of $2 \,cm$. The dipole is placed in an external field of $10^5 \,N/C$. The maximum torque on the dipole is ......... $Nm$.

Two charges each of magnitude $0.01\,C$ and separated by a distance of $0.4\,mm$ constitute an electric dipole. If the dipole is placed in a uniform electric field $\vec{E}$ of $10\,dyne/C$ making a $30^{\circ}$ angle with $\vec{E}$,the magnitude of torque acting on the dipole is:

An electric dipole with dipole moment $4 \times 10^{-9} \text{ Cm}$ is aligned at $60^{\circ}$ with the direction of a uniform electric field of magnitude $5 \times 10^4 \text{ NC}^{-1}$. Calculate the magnitude of the torque acting on the dipole.