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
$\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}$
$\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}$
$ - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}$
$\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}$
In the electric field of a point charge $q$, a certain charge is carried from point $A$ to $B$, $C$, $D$ and $E$. Then the work done
Assertion : Electric potential and electric potential energy are different quantities.
Reason : For a system of positive test charge and point charge electric potential energy $=$ electric potential.
A charge of $5\,C$ is given a displacement of $0.5\,m$. The work done in the process is $10\,J$. The potential difference between the two points will be.......$V$
Three charges, each $+q,$ are placed at the comers of an isosceles triangle $ABC$ of sides $BC$ and $AC, 2a.$ $D$ and $E$ are the mid-points of $BC$ and $CA.$ The work done in taking a charge $Q$ from $D$ to $E$ is
On moving a charge of $20$ coulombs by $2 \;cm , 2 \;J$ of work is done, then the potential difference between the points is (in $volt$)