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:

A short electric dipole is placed at the origin with its axis along the x-axis. If the dipole moment is $p$, the locus of points where the electric potential is zero is given by:

An electric dipole with a dipole moment of $8 imes 10^{-9} \, C \cdot m$ is placed in a uniform electric field of $5 imes 10^5 \, N/C$. What is the magnitude of the torque experienced by the dipole when it makes an angle of $30^\circ$ with the electric field?

Along the $x$-axis, three charges $\frac{q}{2},-q$ and $\frac{q}{2}$ are placed at $x=0, x=a$ and $x=2 a$ respectively. The resultant electric potential at $x=a+r$ $($if $a \ll r)$ is: $\left(\varepsilon_0\right.$ is the premittivity of free space$)$

The electric field of an electric dipole at a point on its axis, at a distance $d$ from the centre of the dipole, varies as

The electric potential due to a dipole at a point on its axial line varies inversely as:

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?

Four charges of same magnitude $q$ are placed at four comers of a square of side $a$. The value of electric potential at the centre of the square will be (Where $k=\frac{1}{4 \pi \varepsilon_0}$ )

A dipole with a dipole moment of $8 imes 10^{-6} \,\mathrm{C} \,\mathrm{m}$ is placed in a uniform electric field. The electric potential at a point $4 \,\mathrm{m}$ away from the centre of the dipole along its axis is measured to be $\pm 9 imes 10^3 \,\mathrm{V}$. Given $\frac{1}{4 \pi \epsilon_0} = 9 imes 10^9 \,\mathrm{SI \,units}$, is this measurement consistent with the formula for the potential due to a dipole, $V= \pm \frac{2 P}{4 \pi \epsilon_0 r^2}$?

Electric potential at the mid point of two identical point charges placed at some distance is ${V}.$ If $25 \%$ of charge of one point charge is transferred to another then new potential at mid point will be:

A short electric dipole has a dipole moment of $4 imes 10^{-9} \, C \cdot m$. What is the electric potential at a point $0.3 \, m$ from the center of the dipole, on the dipole axis?