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Numerical

JEE Main 2024 (Online) 5th April Morning Shift
The electric field between the two parallel plates of a capacitor of $$1.5 \mu \mathrm{F}$$ capacitance drops to one third of its initial value in $$6...
JEE Main 2024 (Online) 5th April Morning Shift
Three capacitors of capacitances $$25 \mu \mathrm{F}, 30 \mu \mathrm{F}$$ and $$45 \mu \mathrm{F}$$ are connected in parallel to a supply of $$100 \ma...
JEE Main 2024 (Online) 4th April Evening Shift
A parallel plate capacitor of capacitance $$12.5 \mathrm{~pF}$$ is charged by a battery connected between its plates to potential difference of $$12.0...
JEE Main 2024 (Online) 1st February Evening Shift
In an electrical circuit drawn below the amount of charge stored in the capacitor is _______ $\mu$ C. ...
JEE Main 2024 (Online) 31st January Morning Shift
A parallel plate capacitor with plate separation $$5 \mathrm{~mm}$$ is charged up by a battery. It is found that on introducing a dielectric sheet of ...
JEE Main 2024 (Online) 30th January Morning Shift
A capacitor of capacitance $$\mathrm{C}$$ and potential $$\mathrm{V}$$ has energy $$\mathrm{E}$$. It is connected to another capacitor of capacitance ...
JEE Main 2024 (Online) 29th January Evening Shift
In the given figure, the charge stored in $$6 \mu F$$ capacitor, when points $$A$$ and $$B$$ are joined by a connecting wire is __________ $$\mu C$$. ...
JEE Main 2024 (Online) 29th January Morning Shift
A $$16 \Omega$$ wire is bend to form a square loop. A $$9 \mathrm{~V}$$ battery with internal resistance $$1 \Omega$$ is connected across one of its s...
JEE Main 2024 (Online) 27th January Morning Shift
The charge accumulated on the capacitor connected in the following circuit is _______ $$\mu \mathrm{C}$$ (Given $$\mathrm{C}=150 \mu \mathrm{F})$$ ...
JEE Main 2023 (Online) 15th April Morning Shift
In the given figure the total charge stored in the combination of capacitors is $100~ \mu \mathrm{C}$. The value of ' $x$ ' is _________. ...
JEE Main 2023 (Online) 13th April Evening Shift
In the circuit shown, the energy stored in the capacitor is $$n ~\mu \mathrm{J}$$. The value of $$n$$ is __________ ...
JEE Main 2023 (Online) 11th April Evening Shift
In the given circuit, $$\mathrm{C}_{1}=2 \mu \mathrm{F}, \mathrm{C}_{2}=0.2 \mu \mathrm{F}, \mathrm{C}_{3}=2 \mu \mathrm{F}, \mathrm{C}_{4}=4 \mu \mat...
JEE Main 2023 (Online) 8th April Evening Shift
A $$600 ~\mathrm{pF}$$ capacitor is charged by $$200 \mathrm{~V}$$ supply. It is then disconnected from the supply and is connected to another uncharg...
JEE Main 2023 (Online) 6th April Evening Shift
As shown in the figure, two parallel plate capacitors having equal plate area of $$200 \mathrm{~cm}^{2}$$ are joined in such a way that $$a \neq b$$. ...
JEE Main 2023 (Online) 6th April Morning Shift
A parallel plate capacitor with plate area $$\mathrm{A}$$ and plate separation $$\mathrm{d}$$ is filled with a dielectric material of dielectric const...
JEE Main 2023 (Online) 31st January Evening Shift
For the given circuit, in the steady state, $\left|\mathrm{V}_{\mathrm{B}}-\mathrm{V}_{\mathrm{D}}\right|=$ ________ V. ...
JEE Main 2023 (Online) 31st January Evening Shift
Two parallel plate capacitors $C_{1}$ and $C_{2}$ each having capacitance of $10 \mu \mathrm{F}$ are individually charged by a 100 V D.C. source. Capa...
JEE Main 2023 (Online) 30th January Morning Shift
A capacitor of capacitance $$900 \mu \mathrm{F}$$ is charged by a $$100 \mathrm{~V}$$ battery. The capacitor is disconnected from the battery and conn...
JEE Main 2023 (Online) 25th January Evening Shift
A capacitor has capacitance 5$$\mu$$F when it's parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant ...
JEE Main 2023 (Online) 24th January Evening Shift
A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between ...
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 parallel plate capacitor with width $$4 \mathrm{~cm}$$, length $$8 \mathrm{~cm}$$ and separation between the plates of $$4 \mathrm{~mm}$$ is connect...
JEE Main 2022 (Online) 26th July Morning Shift
A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $$\left(t_{1}\right.$$ and $$\left.t_{2...
JEE Main 2022 (Online) 25th July Evening Shift
Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 V. The battery is th...
JEE Main 2022 (Online) 28th June Evening Shift
A capacitor C1 of capacitance 5 $$\mu$$F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is c...
JEE Main 2022 (Online) 27th June Evening Shift
A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as show...
JEE Main 2022 (Online) 27th June Morning Shift
A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss ...
JEE Main 2022 (Online) 25th June Morning Shift
The equivalent capacitance between points A and B in below shown figure will be __________ $$\mu$$F. ...
JEE Main 2021 (Online) 31st August Evening Shift
A parallel plate capacitor of capacitance 200 $$\mu$$F is connected to a battery of 200 V. A dielectric slab of dielectric constant 2 is now inserted ...
JEE Main 2021 (Online) 31st August Morning Shift
A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is ______________$$\mu$$C....
JEE Main 2021 (Online) 18th March Morning Shift
The circuit shown in the figure consists of a charged capacitor of capacity 3 $$\mu$$F and a charge of $$\mu$$C. At time t = 0, when the key is closed...
JEE Main 2021 (Online) 18th March Morning Shift
A parallel plate capacitor has plate area 100 m2 and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with a mat...
JEE Main 2021 (Online) 17th March Evening Shift
A 2$$\mu$$F capacitor C1 is first charged to a potential difference of 10V using a battery. Then the battery is removed and the capacitor is connected...
JEE Main 2021 (Online) 17th March Morning Shift
A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V between its plates. The charging ba...
JEE Main 2021 (Online) 17th March Morning Shift
Four identical rectangular plates with length, l = 2 cm and breadth, b = $${3 \over 2}$$ cm are arranged as shown in figure. The equivalent capacitanc...
JEE Main 2021 (Online) 16th March Evening Shift
In a parallel plate capacitor set up, the plate area of capacitor is 2 m2 and the plates are separated by 1 m. If the space between the plates are fil...
JEE Main 2020 (Online) 2nd September Evening Slot
An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2 $$\Omega $$. The potential difference (in V) across the capaci...
JEE Main 2020 (Online) 2nd September Morning Slot
A 5 $$\mu $$F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another uncharged 2....
JEE Main 2020 (Online) 7th January Evening 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 uncharged 60 pF capacitor in p...

MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Morning Shift
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 $$\fra...
JEE Main 2024 (Online) 9th April Morning Shift
A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The glow of the b...
JEE Main 2024 (Online) 8th April Evening Shift
A capacitor has air as dielectric medium and two conducting plates of area $$12 \mathrm{~cm}^2$$ and they are $$0.6 \mathrm{~cm}$$ apart. When a slab ...
JEE Main 2024 (Online) 1st February Evening Shift
A galvanometer $(G)$ of $2 \Omega$ resistance is connected in the given circuit. The ratio of charge stored in $C_1$ and $C_2$ is : ...
JEE Main 2024 (Online) 1st February Morning Shift
Two identical capacitors have same capacitance $C$. One of them is charged to the potential $V$ and other to the potential $2 \mathrm{~V}$. The negati...
JEE Main 2023 (Online) 13th April Evening Shift
In the network shown below, the charge accumulated in the capacitor in steady state will be: ...
JEE Main 2023 (Online) 11th April Evening Shift
A capacitor of capacitance $$\mathrm{C}$$ is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive ...
JEE Main 2023 (Online) 11th April Morning Shift
A parallel plate capacitor of capacitance $$2 \mathrm{~F}$$ is charged to a potential $$\mathrm{V}$$, The energy stored in the capacitor is $$E_{1}$$....
JEE Main 2023 (Online) 10th April Evening Shift
The distance between two plates of a capacitor is $$\mathrm{d}$$ and its capacitance is $$\mathrm{C}_{1}$$, when air is the medium between the plates....
JEE Main 2023 (Online) 10th April Morning Shift
The equivalent capacitance of the combination shown is : ...
JEE Main 2023 (Online) 8th April Morning Shift
In this figure the resistance of the coil of galvanometer G is $$2 ~\Omega$$. The emf of the cell is $$4 \mathrm{~V}$$. The ratio of potential differe...
JEE Main 2023 (Online) 1st February Evening Shift
Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R. Assertion A : Two metallic spheres are charged to ...
JEE Main 2023 (Online) 25th January Morning Shift
A parallel plate capacitor has plate area 40 cm$$^2$$ and plates separation 2 mm. The space between the plates is filled with a dielectric medium of a...
JEE Main 2022 (Online) 29th July Evening Shift
Two identical thin metal plates has charge $$q_{1}$$ and $$q_{2}$$ respectively such that $$q_{1}>q_{2}$$. The plates were brought close to each other...
JEE Main 2022 (Online) 28th July Evening Shift
A slab of dielectric constant $$\mathrm{K}$$ has the same cross-sectional area as the plates of a parallel plate capacitor and thickness $$\frac{3}{4}...
JEE Main 2022 (Online) 28th July Morning Shift
Two capacitors, each having capacitance $$40 \,\mu \mathrm{F}$$ are connected in series. The space between one of the capacitors is filled with dielec...
JEE Main 2022 (Online) 26th July Evening Shift
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,...
JEE Main 2022 (Online) 26th July Morning Shift
The total charge on the system of capacitors $$C_{1}=1 \mu \mathrm{F}, C_{2}=2 \mu \mathrm{F}, \mathrm{C}_{3}=4 \mu \mathrm{F}$$ and $$\mathrm{C}_{4}=...
JEE Main 2022 (Online) 25th July Evening Shift
Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected...
JEE Main 2022 (Online) 25th July Morning Shift
A condenser of $$2 \,\mu \mathrm{F}$$ capacitance is charged steadily from 0 to $$5 \,\mathrm{C}$$. Which of the following graph represents correctly ...
JEE Main 2022 (Online) 30th June Morning Shift
Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is ...
JEE Main 2022 (Online) 29th June Evening Shift
A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in t...
JEE Main 2022 (Online) 29th June Morning Shift
A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replac...
JEE Main 2022 (Online) 27th June Morning Shift
A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acti...
JEE Main 2022 (Online) 26th June Evening Shift
The charge on capacitor of capacitance 15$$\mu$$F in the figure given below is : ...
JEE Main 2022 (Online) 26th June Evening Shift
A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4 $$\mu$$F. The new capacitance of the system if half o...
JEE Main 2022 (Online) 26th June Morning Shift
Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential differenc...
JEE Main 2022 (Online) 25th June Evening Shift
Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness $${d \over 2}$$ and of area eq...
JEE Main 2022 (Online) 24th June Evening Shift
If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)
JEE Main 2022 (Online) 24th June Morning Shift
A parallel plate capacitor is formed by two plates each of area 30$$\pi$$ cm2 separated by 1 mm. A material of dielectric strength 3.6 $$\times$$ 107 ...
JEE Main 2021 (Online) 1st September Evening Shift
A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$. It is found that the potential difference across the capacitor rises ...
JEE Main 2021 (Online) 27th August Evening Shift
Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of the charges on capacitors C1, ...
JEE Main 2021 (Online) 27th August Morning Shift
Calculate the amount of charge on capacitor of 4$$\mu$$F. The internal resistance of battery is 1$$\Omega$$ :...
JEE Main 2021 (Online) 26th August Evening Shift
A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K1 and K2 of same area A...
JEE Main 2021 (Online) 26th August Morning Shift
The material filled between the plates of a parallel plate capacitor has resistivity 200 $$\Omega$$m. The value of capacitance of the capacitor is 2 p...
JEE Main 2021 (Online) 27th July Evening Shift
Match List I with List II. List - I List - II (a) Capacitance, C (i) $${M^1}{L^1}{T^{ - 3}}{A^{ - 1}}$$ ...
JEE Main 2021 (Online) 27th July Evening Shift
A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting parallel plates as shown. The va...
JEE Main 2021 (Online) 27th July Morning Shift
A capacitor of capacitance C = 1 $$\mu$$F is suddenly connected to a battery of 100 volt through a resistance R = 100 $$\Omega$$. The time taken for t...
JEE Main 2021 (Online) 27th July Morning Shift
In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the ...
JEE Main 2021 (Online) 27th July Morning Shift
Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C is ...
JEE Main 2021 (Online) 25th July Evening Shift
If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constant k placed between the capacit...
JEE Main 2021 (Online) 25th July Morning Shift
A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the capacity of the capacitor when ...
JEE Main 2021 (Online) 16th March Morning Shift
For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as t...
JEE Main 2021 (Online) 26th February Morning Shift
Consider the combination of 2 capacitors C1 and C2 with C2 > C1, when connected in parallel, the equivalent capacitance is $${{15} \over 4}$$ times...
JEE Main 2021 (Online) 25th February Evening Shift
An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle '$$\alpha$$' with the plates. It leaves the plates at ang...
JEE Main 2021 (Online) 24th February Morning Shift
Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :
JEE Main 2020 (Online) 6th September Morning Slot
For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the capacitor is correctly depicted by : ...
JEE Main 2020 (Online) 5th September Evening Slot
A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a battery of emf V. A dielectric sla...
JEE Main 2020 (Online) 5th September Evening Slot
In the circuit shown, charge on the 5 $$\mu $$F capacitor is : ...
JEE Main 2020 (Online) 5th September Morning Slot
Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then connected in parallel in such a ma...
JEE Main 2020 (Online) 4th September Evening Slot
A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor o...
JEE Main 2020 (Online) 3rd September Morning Slot
In the circuit shown in the figure, the total charge is 750 $$\mu $$C and the voltage across capacitor C2 is 20 V. Then the charge on capacitor C2 i...
JEE Main 2020 (Online) 2nd September Evening Slot
A 10 $$\mu $$F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacit...
JEE Main 2020 (Online) 8th January Evening Slot
A capacitor is made of two square plates each of side 'a' making a very small angle $$\alpha $$ between them, as shown in figure. The capacitance will...
JEE Main 2020 (Online) 8th January Morning Slot
Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individually connected to a voltage sour...
JEE Main 2020 (Online) 7th January Morning Slot
A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric which has a dielectric constan...
JEE Main 2019 (Online) 12th April Evening Slot
In the given circuit, the charge on 4 $$\mu $$F capacitor will be : ...
JEE Main 2019 (Online) 12th April Morning Slot
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the ...
JEE Main 2019 (Online) 10th April Evening Slot
A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as shown in figure. Its bob has mass...
JEE Main 2019 (Online) 10th April Morning Slot
Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capacitances are : ...
JEE Main 2019 (Online) 9th April Evening Slot
The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacit...
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 capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how much work is done ?
JEE Main 2019 (Online) 8th April Evening Slot
A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC charge. The potential difference ...
JEE Main 2019 (Online) 8th April Morning Slot
Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 106 V/m. The plate area is 10–4 m2. Wha...
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 the plates is 100 N/C, the magni...
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 current at t = 4 s ? ...
JEE Main 2019 (Online) 12th January Evening Slot
In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 $$\mu $$F. All values in the circuit are in $$\mu $$F. ...
JEE Main 2019 (Online) 12th January Morning Slot
In the figure shown, after the switch 'S' is turned from position 'A' to position 'B', the energy dissipated in the circuit in terms of capacitance 'C...
JEE Main 2019 (Online) 11th January Evening Slot
Seven capacitors, each of capacitance 2 $$\mu $$F, are to be connected in a configuration to obtain an effective capacitance of $$\left( {{6 \over {13...
JEE Main 2019 (Online) 11th January Morning 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 right plate of the 6 $$\mu $$F...
JEE Main 2019 (Online) 10th January Evening Slot
A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between its plates. The charging battery...
JEE Main 2019 (Online) 10th January Morning Slot
A parallel plate capacitor is of area 6 cm2 and a separation 3 mm. The gap is filled with three dielectric materials of equal thickness (see figure) ...
JEE Main 2019 (Online) 9th January Evening Slot
A parallel plate capacitor with square plates is filled with four dielecytrics of dielectrics constants K1, K2, K3, K4 arranged as shown in the figure...
JEE Main 2019 (Online) 9th January Morning Slot
A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d < < a). The lower triangular portion is filled...
JEE Main 2018 (Online) 16th April 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 given by $$\left( {{C_{eq}} =...
JEE Main 2018 (Offline)
A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of dielectric constant K = 5/3 is inse...
JEE Main 2018 (Online) 15th April Evening Slot
A parallel plate capacitor with area 200 cm2 and separation between the plates 1.5 cm, is connected across a battery of emf V. If the force of attrac...
JEE Main 2018 (Online) 15th April Evening Slot
A capacitor C1 = 1.0 $$\mu $$F is charged up to a voltage V = 60 V by connecting it to battery B through switch (1). Now C1 is disconnected from batte...
JEE Main 2018 (Online) 15th April Morning Slot
The equivalent capacitance between $$A$$ and $$B$$ in the circuit given below, is : ...
JEE Main 2017 (Online) 9th April Morning Slot
A combination of parallel plate capacitors is maintained at a certain potential difference. When a 3 mm thick slab is introduced between all the pla...
JEE Main 2017 (Online) 8th April Morning Slot
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 $$\mu $$C charge, its radius will be : [ Take : ...
JEE Main 2017 (Offline)
A capacitance of 2 $$\mu $$F is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 $$\mu $$F capacitors ar...
JEE Main 2017 (Offline)
In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capacitance C will be: ...
JEE Main 2016 (Online) 10th April Morning Slot
Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitanc...
JEE Main 2016 (Online) 9th April Morning Slot
Three capacitors each of 4 $$\mu $$F are to be connected in such a way that the effective capacitance is 6 $$\mu $$F. This can be done by connecting t...
JEE Main 2016 (Offline)
A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge $$Q$$ (having a charge equal ...
JEE Main 2015 (Offline)
In the given circuit, charges $${Q_2}$$ on the $$2\mu F$$ capacitor changes as $$C$$ is varied from $$1\,\mu F$$ to $$3\mu F.$$ $${Q_2}$$ as a functio...
JEE Main 2014 (Offline)
A parallel plate capacitor is made of two circular plates separated by a distance $$5$$ $$mm$$ and with a dielectric of dielectric constant $$2.2$$ be...
JEE Main 2013 (Offline)
Two capacitors $${C_1}$$ and $${C_2}$$ are charged to $$120$$ $$V$$ and $$200$$ $$V$$ respectively. It is found that connecting them together the pote...
AIEEE 2012
The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $$\tau $$ of this circuit lies between ...
AIEEE 2010
Let $$C$$ be the capacitance of a capacitor discharging through a resistor $$R.$$ Suppose $${t_1}$$ is the time taken for the energy stored in the cap...
AIEEE 2008
A parallel plate capacitor with air between the plates has capacitance of $$9$$ $$pF.$$ The separation between its plates is $$'d'.$$ The space betwee...
AIEEE 2007
A parallel plate condenser with a dielectric of dielectric constant $$K$$ between the plates has a capacity $$C$$ and is charged to a potential $$V$$ ...
AIEEE 2007
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of th...
AIEEE 2005
A parallel plate capacitor is made by stacking $$n$$ equally spaced plates connected alternatively. If the capacitance between any two adjacent plates...
AIEEE 2005
A fully charged capacitor has a capacitance $$'C'$$. It is discharged through a small coil of resistance wire embedded in a thermally insulated block ...
AIEEE 2003
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
AIEEE 2003
The work done in placing a charge of $$8 \times {10^{ - 18}}$$ coulomb on a condenser of capacity $$100$$ micro-farad is
AIEEE 2002
If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then the energy stored is equal to
AIEEE 2002
Capacitance (in $$F$$) of a spherical conductor with radius $$1$$ $$m$$ is
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