Three identical metal plates with large surface areas are kept parallel to each other as shown in the figure. The leftmost plate $A$ is given a charge $Q$ and the rightmost plate $C$ is given a charge $-2Q$. The middle plate $B$ is neutral. Then the charge appearing on the outer surface $S$ of the plate $C$ is:

$A$ point charge $q = 1 \mu C$ is located at a distance $2 \text{ cm}$ from one end of a thin insulating wire of length $L = 10 \text{ cm}$ having a charge $Q = 24 \mu C$, distributed uniformly along its length, as shown in the figure. The force between $q$ and the wire is . . . . . . $N$. (Use $\frac{1}{4 \pi \epsilon_0} = 9 \times 10^9 \text{ N} \cdot \text{m}^2 / \text{C}^2$)

$A$ non-uniformly shaped conductor is charged. Then,at its sharpest point:

If a metal cube of side $5 \, cm$ has a charge of $6 \, \mu C$,then the surface charge density is

$A$ point charge $q$ is situated at a distance $r$ on the axis from one end of a thin conducting rod of length $L$ having a charge $Q$ (uniformly distributed along its length). The magnitude of the electric force between the two is . . . . . . .

Write an equation for the electric potential due to a linear charge distribution.