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JEE Capacitors PYQs with Solutions

125 previous year questions from Capacitors (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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About Capacitors PYQs

Capacitors has 125 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 125 questions in this list come from Concepts Of Physics MCQ Edition [Volume 2] (125). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Capacitors questions with solutions

1

A parallel-plate capacitor with a plate area of 25.0 cm^2 and a 2.00 mm separation between its plates is connected to a 12.0 V battery. Determine the charge on the capacitor.

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2

Determine the charges on the three capacitors connected to a battery as depicted in the figure. Assume C_1 = 2.0 , C_2 = 4.0 , C_3 = 6.0 , and V = 12 volts.

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3

If one intends to build a 1.0 farad capacitor using circular discs separated by a distance of 1.0 mm , what must be the radius of the discs?

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4

A parallel-plate capacitor possessing a plate area of 25.0 cm^2 and a plate separation of 2.00 mm is connected to a 12.0 V battery. If the separation between the plates is

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5

A potential difference of 10 V develops between two conductors when 1.0 × 10^ 12 electrons are transferred from one conductor to the other. Determine the capacitance of the

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6

Calculate the charge appearing on each of the three capacitors shown in the diagram.

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7

Let C_1 = 4.0 and C_2 = 6.0 in the figure. Determine the equivalent capacitance of the combinations (a) and (b) between the indicated points.

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8

Determine the charge supplied by the battery in the arrangement presented in the figure.

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9

Two cylindrical capacitors, each with a capacitance of 2.2 , have their outer cylinders placed in contact while their inner cylinders are joined via a wire. A battery of emf 10 V

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10

In the assembly shown in the figure, each capacitor possesses a capacitance of 2 . Determine the equivalent capacitance between the points A and B . Additionally, if a battery of

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11

In a circuit, a 50 V battery is connected across points A and B, with the positive terminal at A. An upper branch consists of a 4 capacitor and an 8 capacitor in series, with

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12

An equivalent capacitor of 10 that can be connected across a 200 V battery is required to be constructed. Capacitors of capacitance 10 are available, but they can withstand only

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13

Determine the equivalent capacitance between the points a and b for the system presented in the figure.

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14

A capacitor consists of a flat plate of area A and another plate with a stair-like geometry, as depicted in the figure. Each stair has a width a and a height b . Determine the

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15

A cylindrical capacitor is built using two coaxial cylinders, each having a length of 10 cm , and with radii of 2 mm and 4 mm . Determine the capacitance.

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16

A cylindrical capacitor is constructed using two coaxial cylinders, each having a length of 10 cm , and with radii of 4 mm and 8 mm . Calculate the capacitance.

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17

A 100 pF capacitor is charged to a potential difference of 24 V . Subsequently, it is connected to an uncharged capacitor of 20 pF . Determine the new potential difference across

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18

In the circuit shown in the figure, each capacitor has a capacitance of 5.0 and the battery has an emf of 50 V . Determine the amount of charge that will flow through AB when the

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19

A parallel-plate capacitor is constructed from circular discs, each with a radius of 5.0 cm . Determine the capacitance if the separation between the plates is 1.0 mm .

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20

A parallel-plate capacitor with a plate area of 25 cm^2 and a separation of 1.00 mm is connected to a 6.0 V battery. Determine the charge that has flown through the battery and

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21

As shown in the figure, a particle P carries a charge of -0.01 and has a mass of 10 mg . Each capacitor plate possesses a one-sided surface area of 100 cm^2 . Determine the

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22

Three capacitors with capacitances of 20 , 30 , and 40 are connected in series across a 12 V battery. Determine the charge acquired by each capacitor and the work done by the

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23

The two capacitors depicted in the figure consist of square plates of edge a . Their plate separations are d_1 and d_2 respectively. A potential difference V is applied across the

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24

Find the capacitance between points A and B of a circuit constructed with five capacitors. Point A is connected to a 1\ capacitor and a 2\ capacitor. The other terminal of the 1\

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25

Determine the equivalent capacitance between the points A and B for the circuit labeled (a) in the assembly.

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26

Compute the equivalent capacitance between terminals A and B for the following network: A 1\ capacitor and a 2\ capacitor are joined at terminal A . Their respective other ends

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27

Determine the potential difference V_a - V_b between the points a and b for the circuit labeled (a) in the given figure.

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28

Two conducting spheres having radii R_1 and R_2 are placed widely apart from one another. Determine their individual capacitances. Furthermore, if a metal wire connects the

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29

Find the potential difference V_a - V_b between nodes a and b for the circuit labeled (c) in the provided figure.

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30

Evaluate the potential difference V_a - V_b between points a and b for the circuit designated as (d) in the figure.

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31

Determine the equivalent capacitances between the specified points for the combinations illustrated in the figure.

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32

Calculate the potential difference V_a - V_b between points a and b for the circuit labeled (b) as shown in the figure.

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33

Determine the equivalent capacitance between the terminals A and B for the capacitor network illustrated in the diagram.

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34

Assuming the potential at point B is zero, determine the potentials at points C and D in the circuit shown in the figure.

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35

Determine the equivalent capacitance between points A and B for the infinite ladder circuit illustrated in the figure.

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36

As shown in the figure, a finite ladder is assembled by connecting several sections of 2 and 4 capacitor combinations. The ladder is terminated by a capacitor of capacitance C .

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37

A parallel-plate capacitor with a capacitance of 1.2 imes 10^ -3 ext F has a charge of +2.0 imes 10^ -8 ext C deposited on its positive plate and -1.0 imes 10^ -8 ext C on its

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38

One plate of a parallel-plate capacitor with a capacitance of 0.1 is given a charge of 1 , while the other plate is given a charge of 2 . Determine the potential difference

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39

As illustrated in the figure, each plate possesses a surface area of (96/ε_0) × 10^ -12 F-m on a single side, and the gap separating consecutive plates is 4.0 mm . The connected

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40

For the arrangement of plates depicted in the figure, the capacitance between adjacent plates is 50 nF . When a charge of 1.0 is placed on the upper plate, what will be the

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41

The capacitance between adjacent plates in a three-plate arrangement is 50 ext nF . A charge of 1.0 ext is placed on the middle plate. Calculate the potential difference developed

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42

Three parallel plates are arranged one above the other, with a capacitance of 50 nF between adjacent plates. When a charge of 1.0 is deposited on the upper plate, what is the

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43

Two capacitors of capacitances 20.0 pF and 50.0 pF are connected in series with a 6.00 V battery. Determine the potential difference across the 20.0 pF and 50.0 pF capacitors

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44

Two capacitors of capacitances 20.0 pF and 50.0 pF are connected in series with a 6.00 V battery. Calculate the energy stored in the 20.0 pF and 50.0 pF capacitors respectively.

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45

Two capacitors with capacitances of 4.0 and 6.0 are connected in series across a 20 V battery. Determine the energy supplied by the battery.

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46

In the circuit shown in the figure, every capacitor has a capacitance of 10 . The battery provides an emf of 100 V . Determine the energy stored in each of the four capacitors.

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47

A capacitor holding 4.0 J of stored energy is connected to an identical capacitor that has no electric field between its plates. Determine the total energy stored across the two

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48

A capacitor having a capacitance of 2.0 is charged to a potential difference of 12 V . Subsequently, it is connected to an uncharged capacitor of capacitance 4.0 as shown in the

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49

A capacitor of capacitance 2.0 is charged to a potential difference of 12 V . It is then connected to an uncharged capacitor with a capacitance of 4.0 . Calculate the

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50

A capacitor has its plates separated by 2.00 cm . An electron-proton pair is released at a certain position in the gap between the plates. It is observed that the proton arrives

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51

A point charge Q is located at the origin. Determine the electrostatic energy stored outside a sphere of radius R that is centred at the origin.

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52

A 2.0 capacitor is charged to a potential difference of 12 V and is subsequently connected to an uncharged 4.0 capacitor. Determine the heat produced during the charge transfer

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53

A metal sphere with a radius R is charged to a potential V . Determine the electrostatic energy stored in the electric field inside a concentric sphere of radius 2R .

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54

A metal sphere with a radius R is charged to a potential V . Let U_1 denote the electrostatic field energy stored inside a concentric sphere of radius 2R , and U_2 denote the

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55

A large conducting plane possesses a surface charge density of 1.0 × 10^ -4 C m^ -2 . Determine the electrostatic energy stored within a cubical volume of edge 1.0 cm situated in

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56

A parallel-plate capacitor with a plate area of 20 cm^2 and a separation of 1.00 mm between the plates is connected to a 12.0 V battery. The plates are subsequently pulled apart

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57

A parallel-plate capacitor with a plate area of 20 cm^2 and a separation of 1.00 mm between the plates is connected to a 12.0 V battery. The plates are subsequently pulled apart

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58

A parallel-plate capacitor with a plate area of 20 cm^2 and a separation of 1.00 mm between the plates is connected to a 12.0 V battery. The plates are subsequently pulled apart

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59

A capacitor with a capacitance of 100 is charged to a potential difference of 24 V . After disconnecting the charging battery, the capacitor is connected to a different battery of

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60

A capacitor with a capacitance of 100 is charged to a potential difference of 24 V . After disconnecting the charging battery, the capacitor is connected to a different battery of

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61

A charge of 20 is deposited on the positive plate of an isolated parallel-plate capacitor having a capacitance of 10 . Determine the potential difference developed between the

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62

A capacitor with a capacitance of 100 is charged to a potential difference of 24 V . After disconnecting the charging battery, the capacitor is connected to a different battery of

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63

A capacitor with a capacitance of 100 is charged to a potential difference of 24 V . After disconnecting the charging battery, the capacitor is connected to a different battery of

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64

A capacitor with a capacitance of 100 is charged to a potential difference of 24 V . After disconnecting the charging battery, the capacitor is connected to a different battery of

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65

The capacitance between the adjacent plates depicted in the figure is 50 ext nF . A charge of 1.0 ext is placed on the middle plate. Determine the charge on the outer surface of

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66

Consider the circuit shown in the figure. The switch S is open for a long time and subsequently closed. Calculate the work done by the battery.

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67

Consider the circuit shown in the figure. The switch S is open for a long time and subsequently closed. Determine the change in the energy stored in the capacitors.

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68

Consider the circuit shown in the figure. The switch S is open for a long time and subsequently closed. Find the heat developed within the system.

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69

A capacitor of capacitance 5.00 is charged to 24.0 V , while a second capacitor of capacitance 6.0 is charged to 12.0 V . Determine the energy stored in each capacitor.

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70

A capacitor of capacitance 5.00 is charged to 24.0 V , while a second capacitor of capacitance 6.0 is charged to 12.0 V . The positive plate of the first capacitor is subsequently

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71

A capacitor of capacitance 5.00 is charged to 24.0 V , while a second capacitor of capacitance 6.0 is charged to 12.0 V . The positive plate of the first capacitor is subsequently

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72

A capacitor of 5.0 is initially charged to 12 V . Following this, its positive plate is attached to the negative terminal of a 12 V battery, and its negative plate is attached to

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73

A rectangular dielectric slab has dimensions of 20 cm × 20 cm × 1.0 mm and a dielectric constant of 4.0 . If its two square faces are metal-coated, determine the capacitance

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74

If the aforementioned capacitor is connected across a 6.0 V battery, determine the charge supplied by the battery.

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75

If the aforementioned capacitor is connected across a 6.0 V battery, determine the induced charge on the dielectric.

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76

If the aforementioned capacitor is connected across a 6.0 V battery, determine the net charge appearing on one of the coated surfaces.

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77

The separation between the plates of a parallel-plate capacitor is 0.500 cm and its plate area is 100 cm^2 . A 0.400 cm thick metal plate is inserted into the gap with its faces

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78

A parallel-plate capacitor with a plate area of 20 cm^2 and a separation of 1.00 mm between the plates is connected to a 12.0 V battery. The plates are subsequently pulled apart

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79

When connected across a battery, a capacitor stores a charge of 50 . After the gap between the plates is filled with a dielectric, a charge of 100 flows through the battery.

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80

A parallel-plate capacitor with a capacitance of 5 is connected to a battery having an emf of 6 V . The separation between the plates is 2 mm . Determine the charge on the

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81

A parallel-plate capacitor with a plate area of 20 cm^2 and a separation of 1.00 mm between the plates is connected to a 12.0 V battery. The plates are subsequently pulled apart

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82

A parallel-plate capacitor with a capacitance of 5 is connected to a battery having an emf of 6 V . The separation between the plates is 2 mm . Calculate the electric field

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83

A parallel-plate capacitor with a capacitance of 5 is connected to a battery having an emf of 6 V . The separation between the plates is 2 mm . A dielectric slab with a thickness

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84

A parallel-plate capacitor with a capacitance of 5 is connected to a battery having an emf of 6 V . The separation between the plates is 2 mm . A dielectric slab with a thickness

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85

A parallel-plate capacitor with a plate area of 400 cm^2 and a separation of 1.0 mm is connected to a 100 V power supply. While the supply remains connected, a dielectric slab

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86

A parallel-plate capacitor features a plate area of 100 cm^2 and a plate separation of 1.0 cm . A glass plate (dielectric constant 6.0 ) with a thickness of 6.0 mm and an ebonite

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87

A parallel-plate capacitor featuring a plate area of 400 cm^2 and a separation of 1.0 mm is initially connected to a 100 V power supply, and a dielectric slab of thickness 1.0 mm

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88

Determine the capacitances of the capacitors depicted in the figure. The area of the plates is A and the distance between them is d . In each specific part of the figure, the

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89

A parallel-plate capacitor with a plate area of 400 cm^2 and a separation of 1.0 mm is connected to a 100 V power supply. A 1.0 mm thick dielectric slab with a dielectric constant

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90

Consider a capacitor constructed from two square metal plates, each having an edge length a , with a separation distance d between them. As depicted in the figure, the space

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91

Two identical parallel plate capacitors are connected to a battery via a switch S , as shown in the figure. At first, the switch is kept closed, allowing both capacitors to become

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92

Consider the circuit shown in the figure. The switch S is open for a long time and subsequently closed. Determine the charge that flows through the battery when the switch S is

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93

A capacitor with a capacitance of 100 is charged to a potential difference of 50 V . Determine the magnitude of the charge on each plate.

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94

A capacitor with a capacitance of 100 is charged to a potential difference of 50 V . Subsequently, the charging battery is disconnected and a dielectric of dielectric constant 2.5

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95

A capacitor of capacitance 5.00 is charged to 24.0 V , while a second capacitor of capacitance 6.0 is charged to 12.0 V . The positive plate of the first capacitor is subsequently

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96

A capacitor with a capacitance of 100 is charged to a potential difference of 50 V . The charging battery is then disconnected and a dielectric of dielectric constant 2.5 is

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97

A spherical capacitor is formed by two conducting spherical shells having radii a and b . The region between these shells contains a dielectric of dielectric constant K up to a

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98

An assembly comprises three conducting concentric spherical shells having radii a , b , and c , as shown in the figure. Determine the capacitance of the assembly between points A

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99

An arrangement consists of three conducting concentric spherical shells with radii a , b , and c , as depicted in the figure. The region between the two inner shells is filled by

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100

A parallel-plate capacitor filled with air is to be constructed to store 12 of charge when operated at 1200 V . Determine the minimum possible plate area for this capacitor. The

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101

Consider the situation depicted in the figure. Each plate has a width of b . The capacitor plates are rigidly clamped in the laboratory and connected to a battery of emf E .

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102

Consider the arrangement depicted in the figure. The capacitor plates, each having a plate area A , are rigidly clamped in the laboratory. A dielectric slab of mass m is released

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103

A parallel-plate capacitor having plate area A and plate separation d is charged to a potential difference V , after which the battery is disconnected. A dielectric slab with

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104

A capacitor with a capacitance of 100 is charged to a potential difference of 50 V . After the charging battery is disconnected, a dielectric of dielectric constant 2.5 is

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105

A parallel-plate capacitor has a plate area of 100 cm^2 and a separation of 1.0 cm between its plates. It is connected across a battery with an emf of 24 volts. Determine the

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106

Two parallel plate capacitors with fixed plates are connected to two batteries, as shown in the figure. The plate separation is identical for both capacitors. The plates are

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107

If two capacitors, each having capacitance C and breakdown voltage V , are joined in parallel, the capacitance and the breakdown voltage of the combination will be

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108

The energy density of the electric field generated by a point charge decreases with distance from the charge as

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109

Determine the equivalent capacitance of the combination depicted in the figure.

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110

A parallel-plate capacitor features plates of unequal area. The larger plate is linked to a battery's positive terminal, while the smaller plate is linked to its negative

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111

A capacitor with capacitance C is charged to a potential V . What is the flux of the electric field through a closed surface that completely encloses the capacitor?

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112

Two metal plates carrying charges Q and -Q face each other at some separation and are immersed in an oil tank. If the oil is drained out, the electric field between the plates will

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113

Two metal spheres having capacitances C_1 and C_2 hold some initial charges. They are brought into contact and subsequently separated. The final charges Q_1 and Q_2 on these

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114

Two capacitors joined in series and connected to a battery are shown in the figure. The graph displays the variation in electric potential as one travels from left to right along

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115

Three capacitors, each possessing a capacitance of 6 , are provided. The minimum and maximum capacitances that can be formed are

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116

Consider two capacitors, each possessing a capacitance C and a breakdown voltage V , connected in series. The equivalent capacitance and the breakdown voltage of this combination

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117

A dielectric slab is introduced between the plates of an isolated capacitor. The force acting between the plates will

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118

A thin metal plate P is inserted between the plates of a parallel-plate capacitor having capacitance C such that its edges make contact with both plates, as shown in the figure.

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119

A dielectric slab is introduced between the plates of a capacitor. The charge on the capacitor is Q , and the magnitude of the induced charge on each surface of the dielectric is

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120

A dielectric slab is introduced between the plates of an isolated charged capacitor. Which of the following quantities remains unchanged?

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