List of top Physics Questions on Capacitance

A parallel plate capacitor is charged and then disconnected from the battery. If a dielectric slab is now inserted between the plates of the capacitor, the energy stored in the capacitor:

A parallel plate capacitor with dielectric is charged completely and the battery is then disconnected. Now if the dielectric is slowly pulled out of the capacitor then the variation of the potential (V) of the capacitor with respect to the length (x) of the dielectric pulled out is represented by

A capacitor of 10 \(\mu\text{F}\) charged up to 200 V is connected in parallel with another capacitor of 20 \(\mu\text{F}\) charged up to 50 V. The common potential is:

A capacitor has capacitance $C$. When dielectric of constant $3$ completely fills it, new capacitance is:

Three capacitors of capacitances $3\ \mu\text{F}$, $3\ \mu\text{F}$ and $3\ \mu\text{F}$ are connected in series. The equivalent capacitance is

When dielectric is inserted between the plates of a capacitor with battery connected, energy increases because of:

As shown in the figure two capacitors \( C_{1} \) \& \( C_{2} \) each having same gap between the plates x filled with different media of dielectric constants 3K and 6K respectively. If these two capacitors are connected to a battery, the ratio of potential differences across dielectric layers of \( C_{1} \) and \( C_{2} \) is:

A parallel plate air capacitor having area of each plate '\(A\)' and the distance between the plates '\(d\)' has uniform electric field E in the space between the plates. The energy stored in the capacitor is (\(ε_0\) = permittivity of free space.)

A slab of material of dielectric constant \(K\) has the same area as the plates of a parallel plate capacitor but has a thickness \((4/5)d\), where \(d\) is the separation of the plates. The capacitance in the presence and absence of dielectric are \(C\) and \(C_0\) respectively. The ratio \((C/C_0)\) is

Two circular plates each of radius '\(r\)' are kept parallel to each other distance '\(d\)' apart. The capacitance of the capacitor formed is '\(C_1\)'. If the radius of each of the plates is increased to \(\sqrt{3}\) times the earlier radius and their distance of separation decreased to half the initial value, the capacitance now becomes '\(C_2\)'. The ratio \(C_1:C_2\) is

A 800 pF capacitor is charged by a 100 V battery. After some time, the battery is disconnected. The capacitor is then connected across another 800 pF capacitor. The electrostatic energy stored in the combination will be

A parallel plate capacitor with air between the plate has a capacitance of \(15\) pF. The separation between the plates becomes twice and the space between them is filled with a medium of dielectric constant \(3.5\). Then the capacitance becomes \(x/4\) pF.
The value of \(x\) is

The earth is assumed to be a charged conducting sphere having volume 'V' and surface area 'A'. The capacitance of the earth in free space is (\(ε_0\) = permittivity of free space)

In the arrangement shown, the charge on capacitor \(C_1\) is: center

center

A parallel plate capacitor \((C)\) is connected to a battery as shown in the figure. Consider two cases: Case-I: Key \(k\) is kept closed and plates of the capacitor are moved apart using an insulating handle. Case-II: Initially key \(k\) is closed for a long time and then opened. Now, the plates of the capacitor are moved apart using an insulating handle.

Identify the correct statements among the following: (A) In Case-I, \(Q\) remains same but \(C\) changes. (B) In Case-II, \(V\) remains same but \(C\) changes. (C) In Case-I, \(V\) remains same and hence \(Q\) changes. (D) In Case-II, \(Q\) remains same and hence \(V\) changes. Choose the correct answer from the options given below:

Three capacitors have capacitances \(2\,\mu F\), \(4\,\mu F\) and \(8\,\mu F\). When they are connected in a way to give minimum capacitance, their effective capacitance is:

A network of five capacitors is shown in the figure. The total charge stored in the network connected between \(A\) and \(B\) is:

In the figure given below, the resultant capacitance between points \(A\) and \(B\) is:

Four capacitors are connected in a circuit as shown in the figure. The effective capacitance between \(P\) and \(Q\) is:

Four capacitors are connected as shown in the figure. If \(C_1=2\,\mu F\), \(C_2=3\,\mu F\), \(C_3=5\,\mu F\) and \(C_4=10\,\mu F\), then the equivalent capacitance between points \(A\) and \(B\) is:

A parallel plate capacitor having area \(A\) and separated by distance \(d\) is filled by a copper plate of thickness \(b\). The new capacity is:

A parallel-plate air capacitor has an initial capacitance value of \( 8\,\mu\text{F} \). If the space between the plates is completely filled with a solid dielectric slab having a dielectric constant \( K = 5 \), what will the new capacitance value of the component be?

The dimensional formula of capacitance is: