$A$ wheel having mass $m$ has charges $+q$ and $-q$ on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of a vertical electric field $E$. Then the value of $E$ is

Three charges $q, -2q$ and $q$ are placed at $(x=0, y=a, z=0)$,$(x=0, y=0, z=0)$ and $(x=a, y=0, z=0)$ respectively. What is the resultant electric dipole moment?

Which of the following molecules is a polar molecule?

Explain the positions (orientations) of a dipole in stable equilibrium,unstable equilibrium,and when the potential energy is zero.

Two identical electric point dipoles have dipole moments $\overrightarrow{p}_{1} = p\hat{i}$ and $\overrightarrow{p}_{2} = -p\hat{i}$ and are held on the $x$-axis at a distance $'a'$ from each other. When released,they move along the $x$-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is $'m'$,their speed when they are infinitely far apart is

An electric dipole is placed at an angle $60^{\circ}$ with an electric field of strength $4 \times 10^5 \,N/C$. It experiences a torque equal to $8 \sqrt{3} \,Nm$. Calculate the charge on the dipole,if the dipole length is $4 \,cm$.