Capacitor PYQs - Last 10 Years

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 c...

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 \({C_0} = {{{\varepsilon _0}{a^2}} \over d}\), wh...

A container has a base of $50 \mathrm{~cm} \times 5 \mathrm{~cm}$ and height $50 \mathrm{~cm}$, as shown in the figure. It has two parallel electrically conducting walls each of area $50 \mathrm{~cm} \times 50 \mathrm{~cm}$. The remaining w...

In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of $1 \mathrm{~A}$ flows through the $1 \Omega$ resistor. The key is closed at time $t=t_0$. Which of the follo...

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 i...

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 q1 \(\mu\)C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 \(\mu\)C.The...

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 q1 \(\mu\)C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 \(\mu\)C.The...

Two capacitors with capacitance values C1 = 2000 \(\pm\) 10 pF and C2 = 3000 \(\pm\) 15 pF are connected in series. The voltage applied across this combination is V = 5.00 \(\pm\) 0.02 V. The percentage error in the calculation of the...

A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness, \(\delta = {d \over N}\). The dielec...

Three identical capacitors \({C_1},{C_2}\) and \({C_3}\) have a capacitance of \(1.0\,\mu F\) each and they are unchanged initially. They are connected in a circuit as shown in the figure and \({C_1}\) is then filled completely with a diele...

In Process 2, total energy dissipated across the resistance ED is

In Process 1, the energy stored in the capacitor EC and heat dissipated across resistance ED are related by