MEDIUM
12th West Bengal Board
IMPORTANT
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If the plates of the capacitor are moved further apart by means of insulating handles. A parallel plate capacitor is charged and the charging battery is then disconnected.

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Important Questions on Capacitance and Capacitors

EASY
12th West Bengal Board
IMPORTANT
Two parallel plate capacitors of capacitance C and 2C are connected in parallel and charged to a potential difference V by the battery. The battery is then disconnected and the space between the plates of capacitor of capacitance C is completely filled with a material of dielectric constant K. The potential difference across the capacitors now becomes
HARD
12th West Bengal Board
IMPORTANT
A parallel plate capacitor of value1.77μF is to be designed using a dielectric material (dielectric constant 200, breaking strength of 3×106Vm-1.  In order to make such a capacitor, which can withstand a potential difference of 20 V Across the plates, the separation d Between the plates and the area A of the plates can be ε0=8.85×10-12C2 N-1 m-2
MEDIUM
12th West Bengal Board
IMPORTANT

A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is similarly charged to a potential difference 2V. The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is:

EASY
12th West Bengal Board
IMPORTANT

For the circuit shown in figure, which of the following statements is true ?

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MEDIUM
12th West Bengal Board
IMPORTANT
 A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants k1,k2 and k3 as shown in figure. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then the dielectric constant k is given by 

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EASY
12th West Bengal Board
IMPORTANT

Consider the situation shown in the figure. The capacitor A has a charge q on it whereas B is uncharged. The charge appearing on the capacitor B a long time after the switch is closed is

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MEDIUM
12th West Bengal Board
IMPORTANT

Two identical capacitors have the same capacitance C . The negative ends of the capacitors are connected together. One of them is charged to potential V1 and the other V2. When the positive ends are also connected, the decreases in energy of the combined system is

EASY
12th West Bengal Board
IMPORTANT

Four metal plates numbered 1,2,3 and 4 are arranged as shown in Figure.The area of each plate is $A$ and the separation between adjacent plate is d. The capacitance of the arrangement is

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