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Capacitance — JEE Main & Advanced Physics PYQs

307 previous year questions from Capacitance with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

307 questionsPhysicsSolutions on every page
1

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating vertical walls and two large area horizontal metal plates ( M₁ and M₂ ) which extend far beyond

JEE Advanced 2026 Solution View → 2

A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 , F when the space between the plates is filled with an insulating material of re

JEE Main 2026 Solution View → 3

A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical uncharged metal sphere is brought in contact with the charged sphere, then the change in the to

JEE Main 2026 Solution View → 4

From the circuit given below, the capacitance between terminals A and B shown in the circuit is ______ F. (take C₁=C₂=C₃=1 F and C₄=2 F.)

JEE Main 2026 Solution View → 5

A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed v . If x is the separation between the plates at any instant, then the time r

JEE Main 2026 Solution View → 6

Consider a circuit consisting of a capacitor ( 20 F), resistor ( 100 ) and two identical diodes as shown in figure. The resistance of diode under forward biasing condition is 10 .

JEE Main 2026 Solution View → 7

The dimensional formula of 1 2 ₀ E^2 ( ₀ = permittivity of vacuum and E = electric field) is M^a L^b T^c . The value of 2a - b + c = _______.

JEE Main 2026 Solution View → 8

A parallel plate air capacitor has a capacitance C . When it is half filled as show in figure with a dielectric constant K = 5 , the percentage increase in the capacitance is _____

JEE Main 2026 Solution View → 9

Identify the correct statements : A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination

JEE Main 2026 Solution View → 10

Three parallel plate capacitors each with area A and separation d are filled with two dielectric ( k₁ and k₂ ) in the following fashion. Which of the following is true? (k₁>k₂ )

JEE Main 2026 Solution View → 11

A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals

JEE Main 2026 Solution View → 12

The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric slabs of dielectric constants K₁=2, K₂=3 an

JEE Main 2026 Solution View → 13

A capacitor P with capacitance 10 10⁻⁶ ~F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor P is connected across anoth

JEE Main 2026 Solution View → 14

The charge stored by the capacitor C in the given circuit in the steady state is _ _ _ _ C .

JEE Main 2026 Solution View → 15

A parallel plate capacitor has capacitance C , when there is vacuum within the parallel plates. A sheet having thickness ( 1 3 )^ rd of the separation between the plates and relati

JEE Main 2026 Solution View → 16

Space between the plates of a parallel plate capacitor of plate area 4 ~cm ^2 and separation of (d) 1.77 mm, is filled with uniform dielectric materials with dielectric constants (

JEE Main 2025 Solution View → 17

A parallel plate capacitor has charge 5 10⁻⁶ C . A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face o

JEE Main 2025 Solution View → 18

Three parallel plate capacitors C ₁, C ₂ and C ₃ each of capacitance 5 ~F are connected as shown in figure. The effective capacitance between points A and B, when the space between

JEE Main 2025 Solution View → 19

Four capacitor each of capacitance 16 ~F are connected as shown in the figure. The capacitance between points A and B is : ______ (in F ).

JEE Main 2025 Solution View → 20

Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If

JEE Main 2025 Solution View → 21

A parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constant ₁ and ₂ , as shown in figures. The distance between the plates is d and area of each

JEE Main 2025 Solution View → 22

A capacitor, C₁=6 ~F is charged to a potential difference of V ₀=5 ~V using a 5 V battery. The battery is removed and another capacitor, C ₂=12 ~F is inserted in place of the batte

JEE Main 2025 Solution View → 23

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference betwee

JEE Main 2025 Solution View → 24

A parallel plate capacitor of capacitance 1 ~F is charged to a potential difference of 20 V . The distance between plates is 1 ~m . The energy density between plates of capacitor i

JEE Main 2025 Solution View → 25

Two capacitors C₁ and C₂ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are U₁ and U₂ , respectively.

JEE Main 2025 Solution View → 26

A parallel plate capacitor was made with two rectangular plates, each with a length of l=3 ~cm and breath of b =1 ~cm . The distance between the plates is 3 ~m . Out of the followi

JEE Main 2025 Solution View → 27

Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If E is the electric field and ₀ is the permittivity of free space between the

JEE Main 2025 Solution View → 28

A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance 2.5 ~F . The dielectric constant of the medium between the capacitor

JEE Main 2025 Solution View → 29

At steady state the charge on the capacitor, as shown in the circuit below, is C .

JEE Main 2025 Solution View → 30

Identify the valid statements relevant to the given circuit at the instant when the key is closed. A. There will be no current through resistor R . B. There will be maximum current

JEE Main 2025 Solution View → 31

A parallel-plate capacitor of capacitance 40 ~F is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectr

JEE Main 2025 Solution View → 32

Four identical thin, square metal sheets, S₁, S₂, S₃ and S₄ , each of side a are kept parallel to each other with equal distance d( a) between them, as shown in the figure. Let C₀=

JEE Advanced 2024 Solution View → 33

A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The glow of the bulb:

JEE Main 2024 Solution View → 34

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is A 3 and the height is d , the capaci

JEE Main 2024 Solution View → 35

A capacitor has air as dielectric medium and two conducting plates of area 12 ~cm ^2 and they are 0.6 ~cm apart. When a slab of dielectric having area 12 ~cm ^2 and 0.6 ~cm thickne

JEE Main 2024 Solution View → 36

A capacitor of 10 F capacitance whose plates are separated by 10 ~mm through air and each plate has area 4 ~cm ^2 is now filled equally with two dielectric media of K ₁=2, ~K ₂=3 r

JEE Main 2024 Solution View → 37

Three capacitors of capacitances 25 F , 30 F and 45 F are connected in parallel to a supply of 100 ~V . Energy stored in the above combination is E. When these capacitors are conne

JEE Main 2024 Solution View → 38

The electric field between the two parallel plates of a capacitor of 1.5 F capacitance drops to one third of its initial value in 6.6 s when the plates are connected by a thin wire

JEE Main 2024 Solution View → 39

A parallel plate capacitor of capacitance 12.5 pF is charged by a battery connected between its plates to potential difference of 12.0 ~V . The battery is now disconnected and a di

JEE Main 2024 Solution View → 40

A galvanometer G of 2 Ω resistance is connected in the given circuit. The ratio of charge stored in C 1 and C 2 is:

JEE Main 2024 Solution View → 41

In an electrical circuit drawn below the amount of charge stored in the capacitor is _______ μC .

JEE Main 2024 Solution View → 42

Two identical capacitors have same capacitance C . One of them is charged to the potential V and other to the potential 2 V . The negative ends of both are connected together. When

JEE Main 2024 Solution View → 43

A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introducing a dielectric sheet of thickness 2 mm , while keeping the battery c

JEE Main 2024 Solution View → 44

A capacitor of capacitance C and potential V has energy E . It is connected to another capacitor of capacitance 2 C and potential 2 V . Then the loss of energy is x 3 E , where x i

JEE Main 2024 Solution View → 45

A capacitor of capacitance 100 μF is charged to a potential of 12 V and connected to a 6 . 4 mH inductor to produce oscillations. The maximum current in the circuit would be :

JEE Main 2024 Solution View → 46

A 16 Ω wire is bend to form a square loop. A 9 V battery with internal resistance 1 Ω is connected across one of its sides. If a 4 μF capacitor is connected across one of its diago

JEE Main 2024 Solution View → 47

The charge accumulated on the capacitor connected in the following circuit is ______ μC . (Given C = 150 μ F )

JEE Main 2024 Solution View → 48

A container has a base of 50 cm × 5 cm and height 50 cm , as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm × 50 cm . The remai

JEE Advanced 2023 Solution View → 49

In the given figure the total charge stored in the combination of capacitors is 100 µ C . The value of ‘ x ’ is ______________.

JEE Main 2023 Solution View → 50

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

JEE Main 2023 Solution View → 51

In the circuit shown, the energy stored in the capacitor is n μJ . The value of n is _____.

JEE Main 2023 Solution View → 52

A capacitor of capacitance 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:

JEE Main 2023 Solution View → 53

In the given circuit. C 1 = 2 μ F , C 2 = 0 . 2 μ F , C 3 = 2 μ F , C 4 = 4 μ F , C 5 = 2 μ F , C 6 = 2 μ F . The charge stored on capacitor C 4 is __

JEE Main 2023 Solution View → 54

The electric field in an electromagnetic wave is given as E → = 20 sin ω t - x c j → N C - 1 , where ω and c are angular frequency and velocity of electromagn

JEE Main 2023 Solution View → 55

A parallel plate capacitor of capacitance 2 F is charged to a potential V . The energy stored in the capacitor is E 1 . The capacitor is now connected to another uncharged identica

JEE Main 2023 Solution View → 56

The distance between two plates of a capacitor is d and its capacitance is C 1 , when air is the medium between the plates. If a metal sheet of thickness 2 d 3 and of the same area

JEE Main 2023 Solution View → 57

The equivalent capacitance of the combination shown is

JEE Main 2023 Solution View → 58

A 600 pF capacitor is charged by 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. Electrostatic energy lost in the proc

JEE Main 2023 Solution View → 59

As shown in the figure, two parallel plate capacitors having equal plate area of 200 cm 2 are joined in such a way that a ≠ b . The equivalent capacitance of the combination

JEE Main 2023 Solution View → 60

A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant K = 4 . The thickness of the dielectric material is

JEE Main 2023 Solution View → 61

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two metallic spheres are charged to the same potential. One of

JEE Main 2023 Solution View → 62

Two parallel plate capacitors C 1 and C 2 each having capacitance of 10 μF are individually charged by a 100 V D.C. source. Capacitor C 1 is kept connected to the source and a

JEE Main 2023 Solution View → 63

A capacitor of capacitance 900 µ F is charged by a 100 V battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such th

JEE Main 2023 Solution View → 64

A capacitor has capacitance 5 µ F when its parallel plates are separated by air medium of thickness d . A slab of material of dielectric constant 1 . 5 having area equal to th

JEE Main 2023 Solution View → 65

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 co

JEE Main 2023 Solution View → 66

A parallel plate capacitor with air between the plate has a capacitance of 15 pF . The separation between the plate becomes twice and the space between them is filled with a medium

JEE Main 2023 Solution View → 67

In the following circuit C 1 = 12   μF , C 2 = C 3 = 4   μF and C 4 = C 5 = 2   μF . The charge stored in C 3 is μC .

JEE Advanced 2022 Solution View → 68

A medium having dielectric constant K > 1 fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is d . The cap

JEE Advanced 2022 Solution View → 69

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 capa

JEE Main 2022 Solution View → 70

A slab of dielectric constant K has the same crosssectional area as the plates of a parallel plate capacitor and thickness 3 4 d , where d is the separation of the plates. The capa

JEE Main 2022 Solution View → 71

Two capacitors, each having capacitance 40 μ F are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K suc

JEE Main 2022 Solution View → 72

As show in the figure, in steady state, the charge stored in the capacitor is _____ × 10 - 6 C .

JEE Main 2022 Solution View → 73

A parallel plate capacitor with width 4 cm , length 8 cm and separation between the plates of 4 mm is connected to a battery of 20 V . A dielectric slab of dielectric constant 5 ha

JEE Main 2022 Solution View → 74

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 comb

JEE Main 2022 Solution View → 75

The total charge on the system of capacitance C 1 = 1 μF , C 2 = 2 μF , C 3 = 4 μF and C 4 = 3 μF connected in parallel is (Assume a battery of 20 V is connecte

JEE Main 2022 Solution View → 76

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ( t 1 and t 2 ) as shown in figure. The two different dielectric mate

JEE Main 2022 Solution View → 77

Capacitance of an isolated conducting sphere of radius R 1 becomes n times when it is enclosed by a concentric conducting sphere of radius R 2 connected to earth. The ratio of thei

JEE Main 2022 Solution View → 78

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

JEE Main 2022 Solution View → 79

A condenser of 2 μ F capacitance is charged steadily from 0 to 5 C . Which of the following graph represents correctly the variation of potential difference V across its plate

JEE Main 2022 Solution View → 80

A capacitor is discharging through a resistor R . Consider in time t 1 , the energy stored in the capacitor reduces to half of its initial value and in time t 2 , the charge stored

JEE Main 2022 Solution View → 81

The displacement current of 4 . 425 μA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 10 6 V s - 1 . The area o

JEE Main 2022 Solution View → 82

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 dielect

JEE Main 2022 Solution View → 83

A capacitor C 1 of capacitance 5 μ 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 capa

JEE Main 2022 Solution View → 84

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 capacita

JEE Main 2022 Solution View → 85

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.

JEE Main 2022 Solution View → 86

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 .

JEE Main 2022 Solution View → 87

The charge on capacitor of capacitance 15 μ F in the figure given below is

JEE Main 2022 Solution View → 88

A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4 μF . The new capacitance of the system if half of the space between them is fi

JEE Main 2022 Solution View → 89

Two capacitors having capacitance C 1 and C 2 respectively are connected as shown in figure. Initially, capacitor C 1 is charged to a potential difference V volt by a battery. The

JEE Main 2022 Solution View → 90

Two metallic plates form a parallel plate capacitor. The distance between the plate is ' d '. A metal sheet of thickness d 2 and of area equal to area of each plate is intr

JEE Main 2022 Solution View → 91

The equivalent capacitance between points A and B in below shown figure will be _____ μ F .

JEE Main 2022 Solution View → 92

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 )

JEE Main 2022 Solution View → 93

A parallel plate capacitor is formed by two plates each of area 30 π cm 2 separated by 1 mm . A material of dielectric strength 3 . 6 × 10 7 V m - 1 is filled between the

JEE Main 2022 Solution View → 94

In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q₁ C . Then S is switched to position Q . After a lo

JEE Advanced 2021 Solution View → 95

In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q₁ C . Then S is switched to position Q . After a lo

JEE Advanced 2021 Solution View → 96

A capacitor is connected to a 20 V battery through a resistance of 10 Ω . It is found that the potential difference across the capacitor rises to 2 V in 1 μs . The capaci

JEE Main 2021 Solution View → 97

A parallel plate capacitor of capacitance 200 μ F is connected to a battery of 200 V . A dielectric slab of dielectric constant 2 is now inserted into the space between plates

JEE Main 2021 Solution View → 98

A capacitor of 50 μ F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is _________ μ C .

JEE Main 2021 Solution View → 99

Three capacitors C 1 = 2 μ F , C 2 = 6 μ F and C 3 = 12 μ F are connected as shown in the figure. Find the ratio of the charges on capacitors C 1 , C 2 and C 3 respe

JEE Main 2021 Solution View → 100

Calculate the amount of charge on capacitor of 4 μF . The internal resistance of battery is 1 Ω :

JEE Main 2021 Solution View → 101

A parallel-plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K 1 and K 2 of same area A 2 and thickness d 2 are ins

JEE Main 2021 Solution View → 102

The material filled between the plates of a parallel plate capacitor has resistivity 200 Ω m . The value of capacitance of the capacitor is 2 pF . If a potential difference of

JEE Main 2021 Solution View → 103

A capacitor of capacitance C = 1 μ F is suddenly connected to a battery of 100 V through a resistance R = 100 Ω . The time taken for the capacitor to be charged to get 50

JEE Main 2021 Solution View → 104

In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor

JEE Main 2021 Solution View → 105

Two capacitors of capacities 2 C and C are joined in parallel and charged up to potential V . The battery is removed and the capacitor of capacity C is filled completely with a med

JEE Main 2021 Solution View → 106

If q f is the free charge on the capacitor plates and q b is the bound charge on the dielectric slab of dielectric constant k placed between the capacitor plates, then bound charge

JEE Main 2021 Solution View → 107

A parallel plate capacitor with plate area ' A ' and distance of separation ' d ' is filled with a dielectric. What is the capacity of the capacitor when permittivi

JEE Main 2021 Solution View → 108

A parallel plate capacitor has plate area 100 m 2 and plate separation of 10 m . The space between the plates is filled up to a thickness 5 m with a material of dielectric constant

JEE Main 2021 Solution View → 109

A 2 μ F capacitor C 1 is first charged to a potential difference of 10 V using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor

JEE Main 2021 Solution View → 110

Four identical rectangular plates with length, l = 2 cm and breadth, b = 3 2 cm are arranged as shown in figure. The equivalent capacitance between A and C is x ε 0 d . The va

JEE Main 2021 Solution View → 111

A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V between its plates. The charging battery is now disconnected and

JEE Main 2021 Solution View → 112

In a parallel plate capacitor set up, the plate area of capacitor is 2   m 2 and the plates are separated by 1   m . If the space between the plates are filled with a die

JEE Main 2021 Solution View → 113

For changing the capacitance of a given paralle plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The

JEE Main 2021 Solution View → 114

Consider the combination of two capacitors C 1 and C 2 , with C 2 > C 1 , when connected in parallel, the equivalent capacitance is 10 times the equivalent capacitance of the s

JEE Main 2021 Solution View → 115

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be:

JEE Main 2021 Solution View → 116

For the given input voltage waveform V in ( t ) , the output voltage waveform V 0 ( t ) , across the capacitor is correctly depicted by :

JEE Main 2020 Solution View → 117

Suppose that intensity of a laser is 315 π W m - 2 . The rms electric field, in units of V m - 1 associated with this source is close to the nearest integer is - ε 0 = 8

JEE Main 2020 Solution View → 118

In the circuit shown, charge on the 5 μ F capacitor is :

JEE Main 2020 Solution View → 119

A parallel plate capacitor has plate of length l , width w and separation of plates is d . It is connected to a battery of emf V . A dielectric slab of the same thickness d and of

JEE Main 2020 Solution View → 120

Two capacitors of capacitances C and 2 C are charged to potential differences V and 2 V , respectively. These are then connected in parallel in such a manner that the positive term

JEE Main 2020 Solution View →
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