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Capacitors — JEE Main & Advanced Physics PYQs

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

125 questionsPhysicsSolutions on every page
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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Determine the charges on the three capacitors connected to a battery as depicted in the figure. Assume C₁ = 2.0 F , C₂ = 4.0 F , C₃ = 6.0 F , and V = 12 volts.

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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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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 subsequ

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A potential difference of 10 V develops between two conductors when 1.0 10¹² electrons are transferred from one conductor to the other. Determine the capacitance of the two-conduct

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

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Let C₁ = 4.0 F and C₂ = 6.0 F in the figure. Determine the equivalent capacitance of the combinations (a) and (b) between the indicated points.

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

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Two cylindrical capacitors, each with a capacitance of 2.2 F , 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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In the assembly shown in the figure, each capacitor possesses a capacitance of 2 F . Determine the equivalent capacitance between the points A and B . Additionally, if a battery of

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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 F capacitor and an 8 F capacitor in series, with p

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

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

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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 capa

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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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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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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 t

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In the circuit shown in the figure, each capacitor has a capacitance of 5.0 F 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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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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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 th

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

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Three capacitors with capacitances of 20 F , 30 F , and 40 F 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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The two capacitors depicted in the figure consist of square plates of edge a . Their plate separations are d₁ and d₂ respectively. A potential difference V is applied across the po

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

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

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

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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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Two conducting spheres having radii R₁ and R₂ are placed widely apart from one another. Determine their individual capacitances. Furthermore, if a metal wire connects the spheres,

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

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

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

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

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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 negative p

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

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As illustrated in the figure, each plate possesses a surface area of (96/ ₀) 10⁻¹² F-m on a single side, and the gap separating consecutive plates is 4.0 mm . The connected battery

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

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

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

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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 respe

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 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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Two capacitors with capacitances of 4.0 F and 6.0 F are connected in series across a 20 V battery. Determine the energy supplied by the battery.

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

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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 ca

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

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

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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 at

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

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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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A metal sphere with a radius R is charged to a potential V . Let U₁ denote the electrostatic field energy stored inside a concentric sphere of radius 2R , and U₂ denote the electro

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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 front

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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 t

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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 t

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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 t

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

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

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

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

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

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

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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 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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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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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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A capacitor of capacitance 5.00 F is charged to 24.0 V , while a second capacitor of capacitance 6.0 F is charged to 12.0 V . Determine the energy stored in each capacitor.

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

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

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A capacitor of 5.0 F 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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 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 between th

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 74

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

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

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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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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 p

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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 t

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

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

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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 t

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

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A parallel-plate capacitor with a capacitance of 5 F 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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A parallel-plate capacitor with a capacitance of 5 F 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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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 wit

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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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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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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 diffe

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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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 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 betwee

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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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 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 clo

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

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A capacitor with a capacitance of 100 F is charged to a potential difference of 50 V . Subsequently, the charging battery is disconnected and a dielectric of dielectric constant 2.

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

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

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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 rad

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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 a

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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 a

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

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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 . Assume

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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 f

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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 diele

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

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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 forc

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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 rectan

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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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 108

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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 109

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

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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 terminal.

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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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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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Two metal spheres having capacitances C₁ and C₂ hold some initial charges. They are brought into contact and subsequently separated. The final charges Q₁ and Q₂ on these spheres wi

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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 t

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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 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 w

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 117

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

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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. Th

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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 Q

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

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