Consider the configuration of a system of four charges each of value $+q$ . The work done by external agent in changing the configuration of the system from figure $(1)$ to figure $(2)$ is
$\frac{{k{q^2}}}{a}\left( {3 - \sqrt 2 } \right)$
$\frac{{ - k{q^2}}}{a}\left( {3 + \sqrt 2 } \right)$
$\frac{{k{q^2}}}{a}\left( {3 + \sqrt 2 } \right)$
$\frac{{ - k{q^2}}}{a}\left( {3 - \sqrt 2 } \right)$
A point charge $2 \times 10^{-2}\,C$ is moved from $P$ to $S$ in a uniform electric field of $30\,NC ^{-1}$ directed along positive $x$-axis. If coordinates of $P$ and $S$ are $(1,2$, $0) m$ and $(0,0,0) m$ respectively, the work done by electric field will be $.........\,mJ$
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 $volt$)
Positive and negative point charges of equal magnitude are kept at $\left(0,0, \frac{a}{2}\right)$ and $\left(0,0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0,0)$ to $(0, a, 0)$ is
An electron enters in high potential region ${V_2}$ from lower potential region ${V_1}$ then its velocity
A metallic sphere has a charge of $10\,\mu C$. A unit negative charge is brought from $A$ to $B$ both $100\,cm$ away from the sphere but $A$ being east of it while $B$ being on west. The net work done is........$joule$