Capacitor PYQs - Last 10 Years

The force between the plates of a parallel plate capacitor of capacitance '\(\mathrm{C}\)' and distance of separation of the plates '\(\mathrm{d}\)' with a potential difference '\(\mathrm{V}\)' between the plates is

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

The plates of a parallel plate capacitor of capacity '\(\mathrm{C}_1\)' are moved closer together until they ant half their original separation. The new capacitance '\(\mathrm{C}_2\)' is

Capacitors of capacities \(\mathrm{C}_1, \mathrm{C}_2\) and \(\mathrm{C}_3\) are connected in series. If the combination is connected to a supply of '\(\mathrm{V}\)' volt, then potential difference across capacitor '\(\mathrm{C}_1\)' is

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the e.m.f. of the battery. The ratio of the energy stored int he capacitor to the work done by the battery will be

Two parallel plates with dielectric placed between the plates are as shown in figure. The resultant capacity of capacitor will be [A = area of plate. \(t_1, t_2\) and \(t_3\) are thickness of dielectric slabs, \(\mathrm{k}_1, \mathrm{k}_2\)...

The charge on each capacitor when a voltage source os 15 V is connected in the circuit as shown, is

If the potential difference across a capacitor is increased from \(5 \mathrm{~V}\) to \(15 \mathrm{~V}\), then the ratio of final energy to initial energy stored in the capacitor is

In the given figure potential at point 'A' is 900 volt and point 'B' is earthed. What will be the potential at point 'P' ?

When the battery across the plates of a charged condenser is disconnected and a dielectric slab is introduced between its plates then the energy stored

If the charge on the capacitor is increased by 2 C the energy stored in it increased by 21%. Total original charge on the capacitor is

In parallel plate capacitor, electric field between the plates is '\(E\)'. If the charge on the plates is '\(Q\)' then the force on each plate is

An air filled parallel plate capacitor has a capacity \(2 \mathrm{~pF}\). The sepeartion of the plates is doubled and the interspace between the plates is filled with dielectric material, then the capacity is increased to \(6 ~\mathrm{pF}\)...

The resultant capacity between points A and B in the given circuit is

A condenser of capacity '\(\mathrm{C}_1\)' is charged to potential '\(\mathrm{V}_1\)' and then disconnected. Uncharged capacitor of capacity '\(\mathrm{C}_2\)' is connected in parallel with '\(\mathrm{C}_1\)'. The resultant potential '$$\ma...

Two identical parallel plate air capacitors are connected in series to a battery of emf '\(\mathrm{V}\)'. If one of the capacitor is inserted in liquid of dielectric constant '\(\mathrm{K}\)' then, potential difference of the other capacito...

A parallel plate capacitor filled with oil of a dielectric constant 3 between the plates has capacitance 'C'. If the oil is removed, then the capacitance of the capacitor will be

A parallel plate air capacitor is charged upto 100 V. A plate 2 mm thick is inserted between the plates. Then to maintain the same potential difference, the distance between the plates is increased by 1.6 mm. The dielectric constant of the ...

In the arrangement of the capacitors as shown in figure, each capacitor is of 6 \(\mu\)F, then equivalent capacity between points A and B is

Two capacitors of capacities $2 \mu \mathrm{~F}$ and $4 \mu \mathrm{~F}$ are connected in parallel. A third capacitor of $6 \mu \mathrm{~F}$ capacity is connected in series with this combination. A battery of 12 V is connected across this c...

The capacitance of a parallel plate capacitor with air as medium is \(3 \mu \mathrm{F}\). With the introduction of a dielectric medium between the plates, the capacitance becomes \(15 \mu \mathrm{F}\). The permittivity of the medium in $$\m...

Five capacitors each of capacity \(C\) are connected as shown in figure. If their resultant capacity is \(2 \mu \mathrm{F}\), then the capacity of each condenser is

Which of the following combinations of 7 identical capacitors each of $2 \mu \mathrm{~F}$ gives a resultant capacitance of $10 / 11 \mu \mathrm{~F}$ ?

In a parallel plate air capacitor the distance between plates is reduced to one fourth and the space between them is filled with a dielectric medium of constant 2 . If the initial capacity of the capacitor is $4 \mu \mathrm{~F}$. then its n...