JEE Advanced · 2022 · 28 Aug 2022 · Paper 1 · Capacitance

A container of height 2 m, length 2 m and breadth 1 m is made of insulating vertical walls and two large area horizontal metal plates (${\mathrm{M}}_1$ and ${\mathrm{M}}_2$) which extend far beyond the vertical walls in all directions. The container is partitioned into two eq …

Four identical thin, square metal sheets, $S_1,S_2,S_3$ and $S_4$, each of side $a$ are kept parallel to each other with equal distance $d(\ll a)$ between them, as shown in the figure. Let $C_0={\epsilon }_0{\mathrm{a}}^2/\mathrm{d}$, where …

A container has a base of 50 cm × 5 cm and height 50 cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm × 50 cm. The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectr …

A medium having dielectric constant $K>1$ fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is $d$. The capacitor is connected to a battery of voltage $V$, as shown in Figure (a). Now, both the plates …

In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes ${\mathrm{q}}_1\mu$C. Then S is switched to position Q. After a long time, the charge on the capacitor is ${\mathrm{q}}_2\mu$C.

The magnitude of …

In the circuit shown, initially there is no charge on capacitors and keys ${\mathrm{S}}_1$ and ${\mathrm{S}}_2$ are open. The values of the capacitors are ${\mathrm{C}}_1=10\mu \mathrm{F},{\mathrm{C}}_2=30\mu \mathrm{F}$ and ${\mathrm{C}}_3={\mathrm{C}}_4=80\mu \mathrm{F}$ …