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

  • A

    $\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}$

  • B

    $\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}$

  • C

    $ - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}$

  • D

    $\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}$

Similar Questions

A proton of mass $m$ and charge $e$ is projected from a very large distance towards an $\alpha$-particle with velocity $v$. Initially $\alpha$-particle is at rest, but it is free to move. If gravity is neglected, then the minimum separation along the straight line of their motion will be

  • [KVPY 2018]

Three identical small electric dipoles are arranged parallel to each other at equal separation a as shown in the figure. Their total interaction energy is $U$. Now one of the end dipole is gradually reversed, how much work is done by the electric forces.

For an infinite line of charge having charge density $\lambda $ lying along $x-$ axis, the work required in moving charge $q$ from $C$ to $A$ along arc $CA$ is :-

Obtain equation of electric energy of a single charge.

A positively charged ring is in $y-z$ plane with its centre at origin. A positive test charge $q_0$, held at origin is released along $x$-axis, then its speed