An electric dipole with dipole moment $\mathbf{p} = p_0\mathbf{i}$ is placed at the origin. The electric potential at a point $(r, heta)$ is $V$. If $r >> a$, where $2a$ is the dipole separation, which of the following is correct regarding the equipotential surfaces?

If the electric potential at an axial point $1 \,\mathrm{m}$ from the center of a dipole is $\pm 18 imes 10^3 \,\mathrm{V}$, what is the potential at a point $2 \,\mathrm{m}$ from the center along the same axis? (Assume $\frac{1}{4 \pi \epsilon_0} = 9 imes 10^9 \,\mathrm{SI \,units}$)

The electric potential in volts due to an electric dipole of dipole moment $2 imes 10^{-8}$ coulomb-metre at a distance of $3 \mathrm{~m}$ on a line making an angle of $60^{\circ}$ with the axis of the dipole is

Assertion:- The dipoles in a dielectric are not completely aligned in weak external electric field. Reason:- Thermal energy tends to de-align them.

Two charges $3.2 imes {10^{ - 19}}C\,\,\,{\rm{ and }} \,\,\,- 3.2 imes {10^{ - 19}}\,C$ kept $2.4\,{A^{\rm{o}}}$ apart from a dipole. If it is kept in uniform electric field of intensity $4 imes {10^5}\,\,{\rm{Volt}}/m$. Then what will be its electrical energy in equilibrium.

Two point charges +q and -q are separated by a distance 2a. The electric potential at a point on the perpendicular bisector of the dipole at a distance r (r >> a) is proportional to:

For a short dipole, the electric potential at a point is given by $V = \frac{kp\cosheta}{r^2}$. What does $heta$ represent in this equation?

Calculate the voltage needed to balance an oil drop carrying 10 electrons when located between the plates of a capacitor which are $5 \mathrm{~mm}$ apart. The mass of oil drop is $3 imes 10^{-16} \mathrm{~kg}$. Take $\mathrm{g}=10 \mathrm{~ms}^{-2}$.

Electric field $\mathrm{E}$ in a system is given as $\overrightarrow{\mathrm{E}}=\mathrm{x}^2 \hat{\mathrm{i}}$, where $\mathrm{x}$ is in meter and $\mathrm{E}$ is in $(\mathrm{N} / \mathrm{C})$. A dipole $\vec{\mathrm{p}}=2 \mathrm{\hat{j}(C-m)}$ is placed in the field. Then:

A small electric dipole is placed at origin with its axis being directed along the positive ${x}$-axis. The direction of electric field due to the dipole at a point $(1 {~m}, \sqrt 2 {~m}, 0)$ is along the:

Which of the following is the correct expression for the electric potential (V) at an axial point due to a dipole with dipole moment P at a distance r from its center?