Given square frame of diagonal length $2r$$2 r$ made of insulating wires. There is a short ideal electric dipole, having dipole moment $P$, fixed in the plane of the figure lying at the centre of the square, making an angle $\theta$ as shown in figure. four identical particles having charges of magnitude $q$ each and alternatively positive and negative are placed at the four corners of the square. Select the correct alternative(s). (neglect gravitationa effects) $\left(k=\frac{1}{4\pi {\epsilon }_0}\right)$ (Centre of dipole coincidence with the intersecting point of diagonals)

 

Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

Two ideal electric dipoles $A$ and $B$, having their dipole moment $p_1$ and $p_2$ respectively are placed on a plane with their centres at $O$ as shown in the figure. At point $C$ on the axis of dipole $A$, the resultant electric field is making an angle of $37°$ with the axis. The ratio of the dipole moment of $A$ and $B,\frac{p_1}{p_2}$ is$:($ take $\left.\sin 37°=\frac{3}{5}\right)$

A dipole is placed in an electric field as shown. In which direction will it move?

Two charges $10 \mathrm{\mu C}$ and $-10 \mathrm{\mu C}$ are placed at points A and B separated by a distance of $10 \mathrm{cm}$. Find the electric field at a point P on the perpendicular bisector of AB, at a distance of $12 \mathrm{cm}$ from its mid-point.

Define electric dipole moment. Give its unit.