Capacitors and Capacitance

In the network shown below, the charge accumulated in the capacitor in steady state will be:

Two identical capacitors are connected in series with a battery. Now, the battery is removed and loose wire ends are connected together then the final charge on each capacitor is

 The capacitance between the points $A$ and $B$ of the combination is

The separation between the two capacitor plates is $2 \mathrm{cm}$ and the area of the plate is $300 c{m^2}^{}$. Calculate the capacitance of the parallel plate capacitor when the dielectric material is placed between the plates? [The dielectric constant of the material is $5.5$].
 

Condenser is a device used to store

A parallel plate condenser has conducting plates of radius $12 \mathrm{cm}$ separated by a distance of $5 \mathrm{mm}$. It is charged with a constant charging current of $0.16 \mathrm{A}$, the rate at which the potential difference between the plate change is

In a $\mathrm{RC}$ circuit, where $R$ is resistance and $C$ is capacitance which of the following has the dimension of time.

A capacitor of capacity ${\mathrm{C}}_1=2 \mu \mathrm{F}$ is charged to a potential of $100 \mathrm{V}$. The charging battery is then removed and now ${\mathrm{C}}_1$ is connected to another uncharged capacitor of capacity ${\mathrm{C}}_2=4 \mu \mathrm{F}$. One plate of $C_2$ is earthed as shown. In steady state the charge on $C_1$ (in $\mathrm{\mu C}$) will be _____ .

In steady state, current supplied by battery is

Two plates are at potentials $-10\mathrm{V}$ and $+30\mathrm{V}$. If the separation between the plates is $2 \mathrm{cm}$ then find the electric field between them.

A parallel plate capacitor with plate area $3A$ and plate separation $3d$ is filled with three dialectic slabs. Slabs with dielectric constant $K_1=2;$ and $K_2=4$ and $K_3=6$ occupies half space between the plates as shown. Then capacity of the arrangement is

In the circuit shown, the switch $S$ is initially closed for a long time. The switch is now opened so that the capacitor gets charged.

The time constant of the circuit is

In a capacitor which is initially charged such that the left plate of capacitor has charge $+Q$ and the right plate has zero charge at time $t=0 \mathrm{s}$. The total charge on the right plate after closing the switch will be

Calculate the charge on a capacitor of capacitance $C=\left(2.0\pm 0.1\right) \mathrm{\mu F}$ and charged to a voltage $V=\left(20\pm 0.2\right) \mathrm{V}$.

When the charge on a capacitor increases keeping geometry the same

Write the uses of capacitors.

_____ capacitor banks are used to improve the quality of the electrical supply and thus improve the efficiency of the power systems.

What is the working principle of a capacitor?

When a $0.75\mu F$ capacitor is charged to a voltage of $20 \mathrm{V},$ then the magnitude of charge on each plate is

A neutral spherical copper particle has a radius of $10 \mathrm{nm}\left(1 \mathrm{nm}={10}^{-9} \mathrm{m}\right)$. It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the total charge on the particle versus the applied voltage would look like