HARD
JEE Main/Advance
IMPORTANT
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A parallel plate capacitor has a dielectric slab in it. The slab just fills the space inside the capacitor. The capacitor is charged by a battery and then battery is disconnected. Now the slab is started to pull out slowly at t=0. If at time t, capacitance of the capacitor is C, potential difference across is V and energy stored in it is U, then which of the following graphs are correct?

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Important Questions on Capacitance

HARD
JEE Main/Advance
IMPORTANT
A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnected from it. A charge + Q is now given to its positive plate. The potential difference across the capacitor is now
EASY
JEE Main/Advance
IMPORTANT
In the adjoining figure, capacitor 1 and 2 have a capacitance 'C' each. When the dielectric of dielectric constant K is inserted between the plates of one of the capacitor, the total charge flowing through battery is-

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EASY
JEE Main/Advance
IMPORTANT
A capacitor C is charged to a potentials difference V and battery is disconnected. Now if the capacitor plates are brought close slowly by some distance
HARD
JEE Main/Advance
IMPORTANT
A parallel plate capacitor of plate area A and plate separation d is charged to potential difference V and then the battery is disconnected. A slab of dielectric constant K is then inserted between the plates of the capacitor so as to fill the space between the plates. If Q,E and W denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and the work done on the system, in question, in the process of inserting the slab, then
HARD
JEE Main/Advance
IMPORTANT
Two capacitors of equal capacitance C1=C2 are shown in the figure. Initially, while the switch S is open, one of the capacitors is uncharged and the other carries charge Q0. The energy stored in the charged capacitor is U0. Sometimes after the switch is closed, the capacitors C1 and C2 carry charges Q1 and Q2, respectively; the voltage across the capacitors are V1 and V2; and the energies stored in the capacitors are U1 and U2. Which of the following statements is incorrect ?

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HARD
JEE Main/Advance
IMPORTANT
Two thin conducting shells of radii R and 3R are shown in the figure. The outer shell carries a charge +Q and the inner shell is neutral. The inner shell is earthed with the help of a switch S.

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MEDIUM
JEE Main/Advance
IMPORTANT
In the figure a capacitor of capacitance 2μF is connected to a cell of emf 20 volt. The plates of the capacitor are drawn apart slowly to double the distance between them, The work done by the external agent on the plates is :

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MEDIUM
JEE Main/Advance
IMPORTANT
An uncharged capacitor having capacitance C is connected across a battery of emf V. Now, the capacitor is disconnected and then, reconnected across the same battery but with reversed polarity. Which of the statement is incorrect?