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IMPORTANT
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A parallel plate capacitor has a dielectric slab of a dielectric constant K between its plates that covers 1/3 of the area of its plates, as shown in the figure. The total capacitance of the capacitor is C while that of the portion with dielectric in between is C1. When the capacitor is charged, the plate area covered by the dielectric gets charge Q1 and the rest of the area gets charge Q2. Choose the correct option/options, ignoring edge effects.

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Important Questions on Capacitance

MEDIUM
JEE Main/Advance
IMPORTANT

A parallel plate capacitor having plates of area S and plate separation d, has the capacitance C1 in air. When two dielectrics of different relative permittivity ε1=2 and ε2=4 are introduced between the two plates as shown in the figure, the capacitance becomes C2. The ratio C2C1 is, 

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HARD
JEE Main/Advance
IMPORTANT

Three identical capacitors C1C2 and C3 have a capacitance of 1.0 μF each and they are uncharged initially. They are connected in a circuit as shown in the figure and C1 is then filled completely with a dielectric material of relative permittivity εr. The cell electromotive force emf V0=8V. First the switch S1 is closed while the switch S2 is kept open. When the capacitor C3 is fully charged, S1 is opened and S2 is closed simultaneously. When all the capacitors reach equilibrium, the charge on C3 is found to be 5 μC. The value of εr

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MEDIUM
JEE Main/Advance
IMPORTANT
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be
EASY
JEE Main/Advance
IMPORTANT
A parallel plate condenser with a dielectric of a dielectric constant K between the plates has a capacity C and is charged to a potential V volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net-work done by the system in this process is
EASY
JEE Main/Advance
IMPORTANT
A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is d. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k1=3 and thickness d/3 while the other one has dielectric constant k2=6 and thickness 2d/3. Capacitance of the capacitor is now
EASY
JEE Main/Advance
IMPORTANT
Two capacitors C1 and C2 are charged to 120 V and 200 V, respectively. It is found that by connecting them together the potential on each one can be made zero. Then
EASY
JEE Main/Advance
IMPORTANT
A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of a dielectric constant 2.2 between them. When the electric field in the dielectric is 3×104 V m-1, the charge density of the positive plate will be close to
MEDIUM
JEE Main/Advance
IMPORTANT

In the given circuit, the charge Q2 on the 2 μF capacitor changes as C is varied from 1 μF to 3 μFQ2 as a function of C is given properly by (figures are drawn schematically and are not to scale)

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