A proton has a mass $1.67\times {10}^{-27} \mathrm{kg}$ and charge $+1.6\times {10}^{-19} \mathrm{C}$. If the proton is accelerated through a potential difference of $\mathrm{million} \mathrm{Volts}$, then the kinetic energy is

Calculate the work done in taking a charge $-2\times {10}^{-9}\mathrm{C}$ from $\mathrm{A}$ to $\mathrm{B}$ via $\mathrm{C}$ (in diagram)

A point charge $\mathrm{q}$ is surrounded by eight identical charges at distance $\mathrm{r}$ as shown in figure. How much work is done by the forces of electrostatic repulsion when the point charge at the centre is removed to infinity?

Two similar conducting balls having charges $+\mathrm{q}$ and $-\mathrm{q}$ are placed at a separation $\mathrm{d}$ from each other in air. The radius of each ball is $\mathrm{r}$ and the separation between their centres is $\mathrm{d}(\mathrm{d}>>\mathrm{r})$. Calculate the capacitance of the two ball system

Two charged capacitors have their outer plates fixed and inner plates connected by a spring of force constant $\text{'}\mathrm{k}\text{'}.$ The charge on each capacitor is $\mathrm{q}.$ Find the extension in the spring at equilibrium