Q.

Figure given below shows two identical parallel plate capacitors connected to a battery with switch S closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric

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a

3:1

b

5:1

c

3:5

d

5:3

answer is C.

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Detailed Solution

Initially potential difference across both the capacitor is same hence energy of the system isIn the second case when key K is opened and dielectric medium is filled between the plates, capacitance of both the capacitors becomes 3C, while potential difference across A is V and potential difference across B is   hence energy of the system now isSo,
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