The plates of a parallel plate capacitor are not exactly parallel. The surface charge density is, therefore,

Rows of capacitors containing $1,2,4,8,...,\mathrm{\infty }$ capacitors, each capacitance $2 \mu \mathrm{F}$, are connected in parallel as shown in the figure. The potential difference across $AB$ is $10 \mathrm{V}$, then

The figure shows an arrangement of four identical rectangular plates $A$, $B,C$ and $D$ each of area $S$. Find the charges appearing on each face (from left to right) of the plates. Ignore the separation between the plates in comparison to the plate dimensions.

A parallel plate capacitor is charged as shown ($Q$ is given). A metal slab with the total charge $+Q$ is placed inside the capacitor as shown. The thickness of the slab is $d$. The distance between the top plate and the top of the slab is $2d$, and the distance between the bottom plate and the bottom of the slab is $d$. Each plate is grounded through a galvanometer as shown. Find the charge that passes through each galvanometer after both switches are closed simultaneously.

Five plates are arranged as shown in the figure and connected across a battery of emf $V$. The separation between each plate is $d$ and the surface area of each plate is $A$.

Each capacitance shown in figure is in $\mathrm{\mu F}$. Find the charge on $6\mathrm{\mu F}$ in $\mathrm{\mu C}$.

In figure, a potential of $+12 \mathrm{V}$ is given to point $A$ and point $B$ is earthed. What is the potential at the point $P$ in $\mathrm{V}$ ?