Three charges are placed along $x$-axis at $x=-a, x=0$ and $x=a$ as shown in the figure. The potential energy of the system is
$-\left(\frac{1}{4 \pi \varepsilon_0}\right) \frac{q^2}{a}$
$-\left(\frac{1}{4 \pi \varepsilon_0}\right) \frac{3 q^2}{2 a}$
$+\left(\frac{1}{4 \pi \varepsilon_0}\right) \frac{q^2}{a}$
$+\left(\frac{1}{4 \pi \varepsilon_0}\right) \frac{3 q^2}{2 a}$
Two points $P$ and $Q$ are maintained at the potentials of $10\ V$ and $- 4\ V$, respectively. The work done in moving $100$ electrons from $P$ to $Q$ is
Identify the $WRONG$ statement
Consider a spherical shell of radius $R$ with a total charge $+ Q$ uniformly spread on its surface (centre of the shell lies at the origin $x=0$ ). Two point charges $+q$ and $-q$ are brought, one after the other from far away and placed at $x=-a / 2$ and $x=+a / 2( < R)$, respectively. Magnitude of the work done in this process is
Prove that electrostatic forces are conservative in nature and define electrostatic potential energy.
How much kinetic energy will be gained by an $\alpha - $particle in going from a point at $70\,V$ to another point at $50\,V$