Two equal charges $q$ of opposite sign separated by a distance $2a$ constitute an electric dipole of dipole moment $p$. If $P$ is a point at a distance $r$ from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle $\theta$ with the axis of the dipole,then the potential at $P$ is given by $(r \gg 2a)$ (where $p = 2qa$).

  • A
    $V = \frac{p \cos \theta}{4 \pi \varepsilon_0 r^2}$
  • B
    $V = \frac{p \cos \theta}{4 \pi \varepsilon_0 r}$
  • C
    $V = \frac{p \sin \theta}{4 \pi \varepsilon_0 r}$
  • D
    $V = \frac{p \cos \theta}{2 \pi \varepsilon_0 r^2}$

Explore More

Similar Questions

The work done required to assemble the four charges at the corners of a square of side $a$, as shown in the figure, is:

Difficult
View Solution

Two equal charges $q$ are placed at a distance of $2a$ and a third charge $-2q$ is placed at the midpoint. The potential energy of the system is:

The electric potential due to an electric dipole at a given point is .......

Two charges $-q$ and $+q$ are located at points $(0,0,-a)$ and $(0,0, a)$ respectively.
$(a)$ What is the electrostatic potential at the points $(0,0, z)$ and $(x, y, 0)$?
$(b)$ Obtain the dependence of potential on the distance $r$ of a point from the origin when $r/a > > 1$.
$(c)$ How much work is done in moving a small test charge from the point $(5,0,0)$ to $(-7,0,0)$ along the $x$-axis? Does the answer change if the path of the test charge between the same points is not along the $x$-axis?

Difficult
View Solution

When one electron is moved towards another electron,the electric potential energy of the system:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo