Capacitor PYQs - Last 5 Years

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

A capacitor has capacitance 5\(\mu\)F when it's parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness \(\frac{d}{2}\) is inserted between ...

A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes $$\f...

Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R.
Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same rad...

In the given figure the total charge stored in the combination of capacitors is $100~ \mu \mathrm{C}$. The value of ' $x$ ' is _________.

In the circuit shown, the energy stored in the capacitor is \(n ~\mu \mathrm{J}\). The value of \(n\) is __________

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

A parallel plate capacitor of capacitance \(2 \mathrm{~F}\) is charged to a potential \(\mathrm{V}\), The energy stored in the capacitor is \(E_{1}\). The capacitor is now connected to another uncharged identical capacitor in parallel combi...

In the given circuit, \(\mathrm{C}_{1}=2 \mu \mathrm{F}, \mathrm{C}_{2}=0.2 \mu \mathrm{F}, \mathrm{C}_{3}=2 \mu \mathrm{F}, \mathrm{C}_{4}=4 \mu \mathrm{F}, \mathrm{C}_{5}=2 \mu \mathrm{F}, \mathrm{C}_{6}=2 \mu \mathrm{F}\), The charge sto...

A capacitor of capacitance \(\mathrm{C}\) is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is :

The equivalent capacitance of the combination shown is :

The distance between two plates of a capacitor is \(\mathrm{d}\) and its capacitance is \(\mathrm{C}_{1}\), when air is the medium between the plates. If a metal sheet of thickness \(\frac{2 d}{3}\) and of the same area as plate is introduc...

Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity \(\varepsilon\)r (as shown in Fig. 2), ...

A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15. Then the energy of capacitor will :

A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in time t2, the charge stored reduces to one eighth of its initial value. The ratio t1/t2 will...

Two identical thin metal plates has charge \(q_{1}\) and \(q_{2}\) respectively such that \(q_{1}>q_{2}\). The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between the...

A capacitor C1 of capacitance 5 \(\mu\)F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 \(\mu\)F as shown in figure. When ...

Two capacitors, each having capacitance \(40 \,\mu \mathrm{F}\) are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant \(\mathrm{K}\) such that the equivalence capacitance ...

A slab of dielectric constant \(\mathrm{K}\) has the same cross-sectional area as the plates of a parallel plate capacitor and thickness \(\frac{3}{4} \mathrm{~d}\), where \(\mathrm{d}\) is the separation of the plates. The capacitance of t...

A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is ___________ nJ.

A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be.

A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is $${x \over {15}}{{{ \in _0}A} \over...

A parallel plate capacitor with width \(4 \mathrm{~cm}\), length \(8 \mathrm{~cm}\) and separation between the plates of \(4 \mathrm{~mm}\) is connected to a battery of \(20 \mathrm{~V}\). A dielectric slab of dielectric constant 5 having l...

As show in the figure, in steady state, the charge stored in the capacitor is ____________ \(\times\, 10^{-6}\) C.

Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now con...

A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4 \(\mu\)F. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K = 3...

The charge on capacitor of capacitance 15\(\mu\)F in the figure given below is :

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness \(\left(t_{1}\right.\) and \(\left.t_{2}\right)\) as shown in figure. The two different dielectric materials are separated by a c...

The total charge on the system of capacitors \(C_{1}=1 \mu \mathrm{F}, C_{2}=2 \mu \mathrm{F}, \mathrm{C}_{3}=4 \mu \mathrm{F}\) and \(\mathrm{C}_{4}=3 \mu \mathrm{F}\) connected in parallel is :
(Assume a battery of \(20 \mathrm{~V}\) is c...

A source of potential difference \(V\) is connected to the combination of two identical capacitors as shown in the figure. When key '\(K\)' is closed, the total energy stored across the combination is \(E_{1}\). Now key '\(K\)' is opened an...

The equivalent capacitance between points A and B in below shown figure will be __________ \(\mu\)F.

Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness \({d \over 2}\) and of area equal to area of each plate is introduced between the plates. What will be the ratio of the ...

A condenser of \(2 \,\mu \mathrm{F}\) capacitance is charged steadily from 0 to \(5 \,\mathrm{C}\). Which of the following graph represents correctly the variation of potential difference \((\mathrm{V})\) across it's plates with respect to ...

Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 V. The battery is then disconnected and the space between the plates of the capacitor of capacity C is complet...

Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected to earth. The ratio of their radii \(\left( {{{{R_2}} \over {{R_1}}}} \right)\) is :

A parallel plate capacitor is formed by two plates each of area 30\(\pi\) cm2 separated by 1 mm. A material of dielectric strength 3.6 \(\times\) 107 Vm\(-\)1 is filled between the plates. If the maximum charge that can be stored on the cap...

If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)