Capacitor

A parallel plate capacitor with plate area A and plate separation $d$ is charged by constant current $I$. A plane surface of area $\frac{\mathrm{A}}{2}$, parallel to the plates is drawn simultaneously between the plates. The displacement cu...

A parallel plate air capacitor has capacitance $C_P$. It is equally filled with parallel layers of materials of dielectric constants $\mathrm{K}_1$ and $\mathrm{K}_2$. Now its capacity becomes $C_K$. The ratio $C_P$ to $C_K$ is

The plates of a parallel plate capacitor are separated by a distance 'd' with air as the medium between them. A dielectric slab of dielectric constant 3 is introduced between the plates so as to increase the capacity by $50 \%$. The thickne...

Two parallel plate air c apacitors of same capacity ' C ' are connected in parallel to a battery of e.m.f. ' $E$ '. Then one of the capacitors is completely filled with dielectric mnaterial of constant ' K '. The change in the effective cap...

In the given circuit diagram, in the steady state the current through the battery and the charge on the capacitor respectively are

The function of dielectric in a capacitor is

A parallel plate capacitor of capacitance ' $C$ ' is connected to a battery and charged to a potential difference ' $V$ '. Another capacitor of capacitance 3 C is similarly charged to a potential difference 3 V . The charging battery is the...

Air capacitor has capacitance of $1 \mu \mathrm{~F}$. Now the space between two plates of capacitor is filled with two dielectrics as shown in figure. The capacitance of the capacitor is [ $\mathrm{d}=$ distance between two plates of capaci...

The potential difference that must be applied across the series and parallel combination of 4 identical capacitors is such that the energy stored in them becomes the same. The ratio of potential difference in series to parallel combination ...

A parallel plate capacitor has plate area $40 \mathrm{~cm}^2$ and plate separation 2 mm . The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 5 . The capacitance of the system is ( $\var...

A parallel plate air capacitor, with plate separation ' d ' has a capacitance of 9 pF . The space between the plates is now filled with two dielectrics, the first having $\mathrm{K}_1=3$ and thickness $\mathrm{d}_1=\mathrm{d} / 3$, while th...

Two circular metal plates each of radius ' $r$ ' are kept parallel to each other distance ' $d$ ' apart. The capacitance of the capacitor formed is ' $\mathrm{C}_1$ '. If the radius of each of the plates is increased to $\sqrt{2}$ times the...

A parallel plate capacitor is charged and then isolated. If the separation between the plates is increased, which one of the following statement is NOT correct?

A circuit having a self inductance of 1 henry carries a current of 1 A . To prevent the sparking when the circuit is broken, a capacitor which can withstand 500 V is connected across the switch. What is the minimum value of the capacitance ...

Charge on a parallel plate capacitor of capacity C is Q , the electric field intensity between its two plates separated by a distance of $t$ is

The amount of work done in increasing the voltage across the plates of a capacitor form 5 V to 10 V is ' W '. The work done in increasing it from 10 V to 15 V will be (nearly)

A series combination of $n_1$ capacitors, each of value $C_1$ is charged by a source of potential difference 6 V . Another parallel combination of $\mathrm{n}_2$ capacitors, each of value $\mathrm{C}_2$ is charged by a source of potential d...

 Two identical capacitors A and B are connected in series to a battery of E.M.F., 'E'. Capacitor B contains a slab of dielectric constant $\mathrm{K} . \mathrm{Q}_{\mathrm{A}}$ and $\mathrm{Q}_{\mathrm{B}}$ are the charges stored in A and B...

The graph shows the variation of voltage ' V ' across the plates of two capacitors $A$ and $B$ versus increase in charge ' $Q$ ' stored in them. Then

Air capacitor has capacitance ' $\mathrm{C}_1$ '. The space between two plates of capacitor is filled with two dielectrics as shown in figure. The new capacitance of the capacitor is ' $\mathrm{C}_2$ '. The ratio $\frac{C_1}{C_2}$ is $(d=$ ...

Three condensers of capacities ' $\mathrm{C}_1$ ', ' $\mathrm{C}_2$ ', ' $\mathrm{C}_3$ ' are connected in series with a source of e.m.f. ' $V$ '. The potentials across the three condensers are in the ratio

In the circuit shown in the following figure, the potential difference cross $3 \mu \mathrm{~F}$ capacitor is

When three capacitors of equal capacities are connected in parallel and one of the same capacity, capacitor is connected in series with the combination. The resultant capacity is $4.5 \mu \mathrm{~F}$. The capacity of each capacitor is

Two parallel plate air capacitors of same capacity ' C ' are connected in series to a battery of emf ' $E$ '. Then one of the capacitors is completely filled with dielectric material of constant ' K '. The change in the effective capacity o...

Two identical capacitors have the same capacitance ' $C$ '. One of them is charged to potential $\mathrm{V}_1$ and other to $\mathrm{V}_2$. The negative ends of capacitors are connected together. When positive ends are also connected, the d...

Seven capacitors each of capacitance $2 \mu \mathrm{~F}$ are connected in a configuration to obtain an effective capacitance $\frac{6}{13} \mu \mathrm{~F}$. The combination which will achieve this will have

The potential energy of charged parallel plate capacitor is \(v_0\). If a slab of dielectric constant \(\mathrm{K}\) is inserted between the plates, then the new potential energy will be

The ratio of potential difference that must be applied across parallel and series combination of two capacitors \(C_1\) and \(C_2\) with their capacitance in the ratio \(1: 2\) so that energy stored in these two cases becomes same is

The capacitance of a parallel plate capacitor is \(2.5 ~\mu \mathrm{F}\). When it is half filled with a dielectric as shown in figure, its capacitance becomes \(5 ~\mu \mathrm{F}\). The dielectric constant of the dielectric is

A parallel combination of two capacitors of capacities '\(2 ~\mathrm{C}\)' and '\(\mathrm{C}\)' is connected across \(5 \mathrm{~V}\) battery. When they are fully charged, the charges and energies stored in them be '\(\mathrm{Q}_1\)', '$$Q_...

Which of the following combination of 7 identical capacitors each of \(2 \mu \mathrm{F}\) gives a capacitance of \(\frac{10}{11} \mu \mathrm{F}\) ?

Two condensers one of capacity \(\frac{\mathrm{C}}{2}\) and other capacity \(\mathrm{C}\) are connected to a battery of voltage \(\mathrm{V}\) as shown. The work done in charging fully both the condensers is

A parallel plate capacitor with air medium between the plates has a capacitance of \(10 \mu \mathrm{F}\). The area of capacitor is divided into two equal halves and filled with two media (as shown in figure) having dielectric constant $$K_1...

In the given figure, the equivalent capacitance between points A and B is

In a parallel plate capacitor with air between the plates, the distance \(d\) between the plates is changed and the space is filled with dielectric constant 8. The capacity of the capacitor is increased 16 times, the distance between the pl...

The potential on the plates of capacitor are \(+20 \mathrm{~V}\) and \(-20 \mathrm{~V}\). The charge on the plate is \(40 \mathrm{C}\). The capacitance of the capacitor is

The equivalent capacity between terminal \(\mathrm{A}\) and \(\mathrm{B}\) is

In the given capacitive network the resultant capacitance between point \(\mathrm{A}\) and \(\mathrm{B}\) is

If the charge on the capacitor is increased by 3 coulombs, the energy stored in it increases by \(44 \%\). The original charge on the capacitor is

Two identical capacitors have the same capacitance '\(C\)'. One of them is charged to a potential \(V_1\) and the other to \(V_2\). The negative ends of the capacitors are connected together. When the positive ends are also connected, the d...

A parallel plate capacitor is charged by a battery and battery remains connected. The dielectric slab of constant '\(\mathrm{K}\)' is inserted between the plates and then taken out. Then electric field between the plates

Three identical capacitors of capacitance '\(\mathrm{C}\)' each are connected in series and this connection is connected in parallel with one more such identical capacitor. Then the capacitance of whole combination is

Two spherical conductors of capacities \(3 \mu \mathrm{F}\) and \(2 \mu \mathrm{F}\) are charged to same potential having radii \(3 \mathrm{~cm}\) and \(2 \mathrm{~cm}\) respectively. If '\(\sigma_1\)' and '\(\sigma_2\)' represent surface d...

The mean electrical energy density between plates of a charged air capacitor is (where \(\mathrm{q}=\) charge on capacitor, \(\mathrm{A}=\) Area of capacitor plate)

Two capacitors \(\mathrm{C}_1=3 \mu \mathrm{F}\) and \(\mathrm{C}_2=2 \mu \mathrm{F}\) are connected in series across d.c. source of \(100 \mathrm{~V}\). The ratio of the potential across \(C_2\) to \(C_1\) is

A parallel plate capacitor has plate area '\(\mathrm{A}\)' and separation between plates is '\(d\)'. It is charged to a potential difference of \(\mathrm{V}_0\) volt. The charging battery is then disconnected and plates are pulled apart thr...

Two dielectric slabs having dielectric constant '\(\mathrm{K}_1\)' and '\(\mathrm{K}_2\)' of thickness \(\frac{\mathrm{d}}{4}\) and \(\frac{3 \mathrm{~d}}{4}\) are inserted between the plates as shown in figure. The net capacitance between ...

If a capacitor of capacity \(900 ~\mu \mathrm{F}\) is charged to \(100 \mathrm{~V}\) and its total energy is transferred to a capacitor of capacity \(100 ~\mu \mathrm{F}\), then its potential will be

A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved further apart by pulling them by means of insulating handles, then

A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A and the distance between the plates is '\(\mathrm{d}\)'. The energy stored in the capacitor is $$\left[\varepsilon_0=\r...