Capacitance

A capacitor of $2\ \mu\text{F}$ is charged as shown in the diagram. When the switch 'S' is turned to position 2, the percentage of its stored energy dissipated is

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants $k_1$, $k_2$, $k_3$ and $k_4$ as shown in figure below. If a single…

A parallel plate capacitor has a dielectric slab of dielectric constant K between its plates that covers $1/3$ of the area of its plates as shown in the figure. The total capacitance of the capacitor is C while that of…

A series combination of 10 capacitors, each of value '$C_1$' is charged by a source of potential difference '$4V$'. When another parallel combination of 8 capacitors, each of value '$C_2$' is charged by a source of…

A parallel plate capacitor with capacitance $1\ \mu\text{F}$ is being charged at a rate such that the potential difference across it changes at $10^6\ \text{V/s}$. The instantaneous displacement current between the…

Four identical capacitors are joined in series, across a battery of $20\ \text{V}$. The capacitors are separated and then connected in parallel. The potential difference across the parallel combination is

A parallel-plate air capacitor has a capacity '$C$', distance with a separation '$x$', a dielectric material with a dielectric constant '$k$' between plates, and a potential difference with a '$V$' volt applied between…

In an ideal LC circuit, if the energy stored in the inductor is equal to energy stored in a capacitor, then the magnitude of charge Q stored in capacitor is ($Q_0$ is the maximum charge)

The capacitance of a parallel plate capacitor with air as dielectric is $C$. If a slab of dielectric constant $K$ and of the same thickness as the separation between the plates is introduced so as to fill $1 / 4$ th of…

In the following circuit diagram, potential difference across $4 \mu \mathrm{~F}$ capacitor is

A thin dielectric rod of length $l$ lies along $X$-axis. One end of the rod is placed at the origin and the other end of the rod is placed at $(l, 0)$. A total charge $Q$ is distributed uniformly along the length of the…

Two capacitors $C_1$ and $C_2=2 C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and $C_1$ holds charge $Q$. The switch is closed. At steady state, the…