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Dielectric sheet placed between the plates of parallel plate capacitor. Now capacitor is charged and battery is disconnected. Now t=0 sheet is taken out very slowly then which of the following is correct for the variation of capacitance with time

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Important Questions on Capacitance

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JEE Main/Advance
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A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $S$ and mass $m$. If the temperature of the block is raised byΔT, the potential difference V across the capacitor is 
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JEE Main/Advance
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The capacitance C for an isolated conducting sphere of radius a is given by 4πε0a. This sphere is enclosed within an earthed concentric sphere. The ratio of the radii of the spheres being nn-1 then the capacitance of such a sphere will be increased by a factor-
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Four identical plates 1,2,3 and 4 are placed parallel to each other at equal distance as shown in the figure. Plates 1 and 4 are joined together and the space between 2 and 3 is filled with a dielectric of dielectric constant k=2. The capacitance of the system between 1 and 3 & 2 and 4 are C1 and C2 respectively. The ratio C1C2 is-

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MEDIUM
JEE Main/Advance
IMPORTANT
In the circuit shows, all capacitors are identical., Initially, the switch is open and the capacitor marked C1 is the only one charged. After the switch is closed and the equilibrium is reestablished, the charge on the capacitor marked C1 is Q. What was the initial charge Q0 on that capacitor?

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JEE Main/Advance
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A number of capacitors, each of capacitance, 1 µF and each one of which gets punctured if a potential difference just exceeding, 500 V is applied, are provided. Then an arrangement suitable for giving a capacitor of capacitance, 3 µF across which, 2000 V may be applied requires at least:

 

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Five identical capacitor plates, each of area A, are arranged such that adjacent are at distance d apart. The plates are connected to a source of emf V as shown in figure. The the charge on plates 1 and 4 are, respectively

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JEE Main/Advance
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For the circuit shown here, the potential difference between points A and B is

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JEE Main/Advance
IMPORTANT
The plates S and T of an uncharged parallel plate capacitor are connected across a battery. The battery is then disconnected and the charged plates are now connected in a system as shown in the figure. The system shown in equilibrium. All the strings and spring are insulating and massless. The magnitude of charge on one of the capacitor plates is : [Area of plates =A]

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