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## Capacitor

### Physics

#### Previous Years Questions

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Two identical thin metal plates has charge $$q_{1}$$ and $$q_{2}$$ respectively such that $$q_{1}>q_{2}$$. The plates we...
JEE Main 2022 (Online) 29th July Evening Shift
A slab of dielectric constant $$\mathrm{K}$$ has the same cross-sectional area as the plates of a parallel plate capacit...
JEE Main 2022 (Online) 28th July Evening Shift
Two capacitors, each having capacitance $$40 \,\mu \mathrm{F}$$ are connected in series. The space between one of the ca...
JEE Main 2022 (Online) 28th July Morning Shift
A source of potential difference $$V$$ is connected to the combination of two identical capacitors as shown in the figur...
JEE Main 2022 (Online) 26th July Evening Shift
The total charge on the system of capacitors $$C_{1}=1 \mu \mathrm{F}, C_{2}=2 \mu \mathrm{F}, \mathrm{C}_{3}=4 \mu \mat... JEE Main 2022 (Online) 26th July Morning Shift Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting... JEE Main 2022 (Online) 25th July Evening Shift A condenser of$$2 \,\mu \mathrm{F}$$capacitance is charged steadily from 0 to$$5 \,\mathrm{C}$$. Which of the followi... JEE Main 2022 (Online) 25th July Morning Shift Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If hal... JEE Main 2022 (Online) 30th June Morning Shift A parallel plate capacitor is formed by two plates each of area 30$$\pi$$cm2 separated by 1 mm. A material of dielectri... JEE Main 2022 (Online) 24th June Morning Shift If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the c... JEE Main 2022 (Online) 24th June Evening Shift Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness ... JEE Main 2022 (Online) 25th June Evening Shift A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4$$\mu$$F. The new capac... JEE Main 2022 (Online) 26th June Evening Shift The charge on capacitor of capacitance 15$$\mu$$F in the figure given below is : ... JEE Main 2022 (Online) 26th June Evening Shift Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is ch... JEE Main 2022 (Online) 26th June Morning Shift A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor i... JEE Main 2022 (Online) 27th June Morning Shift A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half... JEE Main 2022 (Online) 29th June Evening Shift A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged.... JEE Main 2022 (Online) 29th June Morning Shift A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$. It is found that the potential differen... JEE Main 2021 (Online) 1st September Evening Shift Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of ... JEE Main 2021 (Online) 27th August Evening Shift Calculate the amount of charge on capacitor of 4$$\mu$$F. The internal resistance of battery is 1$$\Omega$$:... JEE Main 2021 (Online) 27th August Morning Shift A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric con... JEE Main 2021 (Online) 26th August Evening Shift The material filled between the plates of a parallel plate capacitor has resistivity 200$$\Omega$$m. The value of capac... JEE Main 2021 (Online) 26th August Morning Shift Match List I with List II. List - I List - II (a) Capacitance, C (i)$${M^...
JEE Main 2021 (Online) 27th July Evening Shift
Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and t...
JEE Main 2021 (Online) 27th July Morning Shift
In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capa...
JEE Main 2021 (Online) 27th July Morning Shift
A capacitor of capacitance C = 1 $$\mu$$F is suddenly connected to a battery of 100 volt through a resistance R = 100 $$... JEE Main 2021 (Online) 27th July Morning Shift If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constan... JEE Main 2021 (Online) 25th July Evening Shift A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the c... JEE Main 2021 (Online) 25th July Morning Shift For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used... JEE Main 2021 (Online) 16th March Morning Shift Consider the combination of 2 capacitors C1 and C2 with C2 &gt; C1, when connected in parallel, the equivalent capacitan... JEE Main 2021 (Online) 26th February Morning Shift An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle '$$\alpha$$' with the plate... JEE Main 2021 (Online) 25th February Evening Shift Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the t... JEE Main 2021 (Online) 24th February Morning Slot For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the capacitor is correctly depict... JEE Main 2020 (Online) 6th September Morning Slot In the circuit shown, charge on the 5$$\mu $$F capacitor is : ... JEE Main 2020 (Online) 5th September Evening Slot A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a batt... JEE Main 2020 (Online) 5th September Evening Slot Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then conn... JEE Main 2020 (Online) 5th September Morning Slot A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with... JEE Main 2020 (Online) 4th September Evening Slot In the circuit shown in the figure, the total charge is 750$$\mu $$C and the voltage across capacitor C2 is 20 V. Then... JEE Main 2020 (Online) 3rd September Morning Slot A 10$$\mu $$F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is con... JEE Main 2020 (Online) 2nd September Evening Slot A capacitor is made of two square plates each of side 'a' making a very small angle$$\alpha $$between them, as shown i... JEE Main 2020 (Online) 8th January Evening Slot Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individual... JEE Main 2020 (Online) 8th January Morning Slot A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric ... JEE Main 2020 (Online) 7th January Morning Slot In the given circuit, the charge on 4$$\mu $$F capacitor will be : ... JEE Main 2019 (Online) 12th April Evening Slot Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The sp... JEE Main 2019 (Online) 12th April Morning Slot A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as sho... JEE Main 2019 (Online) 10th April Evening Slot Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capaci... JEE Main 2019 (Online) 10th April Morning Slot The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery o... JEE Main 2019 (Online) 9th April Evening Slot A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how... JEE Main 2019 (Online) 9th April Morning Slot Determine the charge on the capacitor in the following circuit : ... JEE Main 2019 (Online) 9th April Morning Slot A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC cha... JEE Main 2019 (Online) 8th April Evening Slot Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 106 V/m. ... JEE Main 2019 (Online) 8th April Morning Slot In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5$$\mu $$F. All values in the... JEE Main 2019 (Online) 12th January Evening Slot The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure : When is the value of curr... JEE Main 2019 (Online) 12th January Evening Slot A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between th... JEE Main 2019 (Online) 12th January Evening Slot In the figure shown, after the switch 'S' is turned from position 'A' to position 'B', the energy dissipated in the circ... JEE Main 2019 (Online) 12th January Morning Slot Seven capacitors, each of capacitance 2$$\mu $$F, are to be connected in a configuration to obtain an effective capacit... JEE Main 2019 (Online) 11th January Evening Slot In the figure shown below, the charge on the left plate of the 10$$\mu $$F capacitor is –30$$\mu $$C. The charge on the ... JEE Main 2019 (Online) 11th January Morning Slot A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between it... JEE Main 2019 (Online) 10th January Evening Slot A parallel plate capacitor is of area 6 cm2 and a separation 3 mm. The gap is filled with three dielectric materials of... JEE Main 2019 (Online) 10th January Morning Slot A parallel plate capacitor with square plates is filled with four dielecytrics of dielectrics constants K1, K2, K3, K4 a... JEE Main 2019 (Online) 9th January Evening Slot A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d &lt; &lt; a). The lowe... JEE Main 2019 (Online) 9th January Morning Slot In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C1 as a function of time will be... JEE Main 2018 (Online) 16th April Morning Slot A capacitor C1 = 1.0$$\mu $$F is charged up to a voltage V = 60 V by connecting it to battery B through switch (1). Now... JEE Main 2018 (Online) 15th April Evening Slot A parallel plate capacitor with area 200 cm2 and separation between the plates 1.5 cm, is connected across a battery of... JEE Main 2018 (Online) 15th April Evening Slot The equivalent capacitance between$$A$$and$$B$$in the circuit given below, is : ... JEE Main 2018 (Online) 15th April Morning Slot A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of diele... JEE Main 2018 (Offline) A combination of parallel plate capacitors is maintained at a certain potential difference. When a 3 mm thick slab is ... JEE Main 2017 (Online) 9th April Morning Slot A capacitance of 2$$\mu $$F is required in an electrical circuit across a potential difference of 1.0 kV. A large numbe... JEE Main 2017 (Offline) Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance ... JEE Main 2016 (Online) 10th April Morning Slot Three capacitors each of 4$$\mu $$F are to be connected in such a way that the effective capacitance is 6$$\mu $$F. Th... JEE Main 2016 (Online) 9th April Morning Slot A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge... JEE Main 2016 (Offline) In the given circuit, charges$${Q_2}$$on the$$2\mu F$$capacitor changes as$$C$$is varied from$$1\,\mu F$$to$$3\...
JEE Main 2015 (Offline)
A parallel plate capacitor is made of two circular plates separated by a distance $$5$$ $$mm$$ and with a dielectric of ...
JEE Main 2014 (Offline)
Two capacitors $${C_1}$$ and $${C_2}$$ are charged to $$120$$ $$V$$ and $$200$$ $$V$$ respectively. It is found that con...
JEE Main 2013 (Offline)
The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $$\tau$$ of t...
AIEEE 2012
A parallel plate capacitor with air between the plates has capacitance of $$9$$ $$pF.$$ The separation between its plate...
AIEEE 2008
A fully charged capacitor has a capacitance $$'C'$$. It is discharged through a small coil of resistance wire embedded i...
AIEEE 2005
A parallel plate capacitor is made by stacking $$n$$ equally spaced plates connected alternatively. If the capacitance b...
AIEEE 2005
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of th...
AIEEE 2003
Capacitance (in $$F$$) of a spherical conductor with radius $$1$$ $$m$$ is
AIEEE 2002
If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then the energy stored is equal to
AIEEE 2002

## Numerical

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A parallel plate capacitor with width $$4 \mathrm{~cm}$$, length $$8 \mathrm{~cm}$$ and separation between the plates of...
JEE Main 2022 (Online) 27th July Evening Shift
As show in the figure, in steady state, the charge stored in the capacitor is ____________ $$\times\, 10^{-6}$$ C. ...
JEE Main 2022 (Online) 27th July Evening Shift
A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $$\left(t... JEE Main 2022 (Online) 26th July Morning Shift Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential diff... JEE Main 2022 (Online) 25th July Evening Shift The equivalent capacitance between points A and B in below shown figure will be __________$$\mu$$F. ... JEE Main 2022 (Online) 25th June Morning Shift A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacit... JEE Main 2022 (Online) 27th June Morning Shift A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected wi... JEE Main 2022 (Online) 27th June Evening Shift A capacitor C1 of capacitance 5$$\mu$$F is charged to a potential of 30 V using a battery. The battery is then removed ... JEE Main 2022 (Online) 28th June Evening Shift The displacement current of 4.425$$\mu$$A is developed in the space between the plates of parallel plate capacitor when... JEE Main 2022 (Online) 29th June Evening Shift A parallel plate capacitor of capacitance 200$$\mu$$F is connected to a battery of 200 V. A dielectric slab of dielectr... JEE Main 2021 (Online) 31st August Evening Shift A capacitor of 50$$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor ... JEE Main 2021 (Online) 31st August Morning Shift A parallel plate capacitor has plate area 100 m2 and plate separation of 10 m. The space between the plates is filled up... JEE Main 2021 (Online) 18th March Morning Shift The circuit shown in the figure consists of a charged capacitor of capacity 3$$\mu$$F and a charge of$$\mu$$C. At time... JEE Main 2021 (Online) 18th March Morning Shift Seawater at a frequency f = 9$$\times$$102 Hz, has permittivity$$\varepsilon $$= 80$$\varepsilon $$0 and resistivity... JEE Main 2021 (Online) 17th March Evening Shift A 2$$\mu$$F capacitor C1 is first charged to a potential difference of 10V using a battery. Then the battery is removed ... JEE Main 2021 (Online) 17th March Evening Shift Four identical rectangular plates with length, l = 2 cm and breadth, b =$${3 \over 2}$$cm are arranged as shown in fig... JEE Main 2021 (Online) 17th March Morning Shift A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V betwe... JEE Main 2021 (Online) 17th March Morning Shift In a parallel plate capacitor set up, the plate area of capacitor is 2 m2 and the plates are separated by 1 m. If the sp... JEE Main 2021 (Online) 16th March Evening Shift An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2$$\Omega $$. The potential diffe... JEE Main 2020 (Online) 2nd September Evening Slot A 5$$\mu F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in ...
JEE Main 2020 (Online) 2nd September Morning Slot
A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is conneced to another ...
JEE Main 2020 (Online) 7th January Evening Slot

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