$A$ hollow conducting sphere is placed in an electric field produced by a point charge at point $P$. If the electric potentials at points $A$,$B$,and $C$ are $V_A$,$V_B$,and $V_C$ respectively,as shown in the figure,then:

As shown in the figure below,a charge $+2 \text{ C}$ is situated at the origin $O$ and another charge $+5 \text{ C}$ is on the $x$-axis at point $A(2, 0) \text{ m}$. The charge at point $A$ is then moved to point $B(0, 2) \text{ m}$ on the $y$-axis. Calculate the work done. (Given $\frac{1}{4 \pi \varepsilon_{0}} = 9 \times 10^{9} \text{ N m}^2/\text{C}^2$)

$A$ uniform electric field of magnitude $100 \ V/m$ in space is directed along the line $y = 3 + x$. Find the potential difference between point $A(3, 1)$ and $B(1, 3)$ in Volts.

At which point is the electric field maximum?

Draw an equipotential surface of two identical positive charges for small distance.

The work done to move a charge on an equipotential surface is