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A parallel plate capacitor is connected to 15 V battery and charged. The battery is then disconnected and a glass slab is introduced between the plates. Then the quantities that decrease are :-

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Important Questions on Capacitance

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A 10 μF capacitor is charged to 500 V and then its plates are joined together through a resistance of 10 Ω. The heat produced in the resistance is
HARD
A parallel plate capacitor having capacitance 12pF is charged by a battery to a potential difference of 10V between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant 6.5 is slipped between the plates. The work done by the capacitor on the slab is
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A capacitor of capacitance C is connected in series with a resistance R and DC source of emf E through a key. The capacitor starts charging when the key is closed. By the time the capacitor has been fully charged, what amount of energy is dissipated in the resistance R?

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A parallel plate capacitor of capacitance 200μF is connected to a battery of 200 V. A dielectric slab of dielectric constant 2 is now inserted into the space between plates of capacitor while the battery remain connected. The change in the electrostatic energy in the capacitor will be __________ J.
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A capacitor with capacitance 5 μF is charged to 5 μC . If the plates are pulled apart to reduce the capacitance to 2 μF, how much work is done?
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A circuit has a self-inductance of 1 H and carries a current of 2 A. To prevent spark, when the circuit is broken, a capacitor which can withstand 400 V is used. The least capacitance of the capacitor is,
EASY

The potential differences that must be applied across the parallel and series combination of 3 identical capacitors is such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is

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Taking the examples of charging capacitor, name the currents that are responsible for the process of charging and also state which current flow outside and which flow inside the capacitor?

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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 slab of the same thickness d and of dielectric constant K=4 is being inserted between the plates of the capacitor. At what length of the slab inside plates, will the energy stored in the capacitor be two times the initial energy stored?
HARD
Two capacitors with capacitance values C1=2000±10 pF and C2=3000±15 pF are connected in series. The voltage applied across this combination is V=5.00±0.02 V. The percentage error in the calculation of the energy stored in this combination of capacitors is __________.
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Two capacitors, C1=2mF and C2=8mF are connected in series across a 300 V source. Then
EASY
A parallel plate air capacitor has capacity C farad, potential V volt and energy E joule. When the gap between the plates is completely filled with dielectric
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A  6μF capacitor is charged from 10V to 20V. Increase in energy will be
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A 10 mF capacitor has been charged to a potential of 100 V. Suddenly if it explodes, the energy given out is
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A parallel plate capacitor is charged by a battery, which is then disconnected. A dielectric slab having dielectric constant(relative permittivity) K, is now introduced between its two plates in order to occupy the space completely. State, in terms of K, its effect on the energy stored in the capacitor.

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A parallel plate capacitor having plate area 25 cm2 and separation 1 mm is connected to a battery of 6 V, the work done by the battery during the process is
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Find the energy stored in the condenser.
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In the circuit given below, the capacitor C is charged by closing the switch S1 and opening the switch S2. After charging, the switch S1 is opened and S2 is closed, then the maximum current in the circuit

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The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 μC charge, its radius will be: Take:14π0=9×109 N m2 C-2
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If the capacitance of a nanocapacitor is measured in terms of a unit u,  made by combining the electronic charge e, Bohr radius a0, Planck's constant h and speed of light c then