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Q.

A parallel plate capacitor A is filled with a dielectric whose dielectric constant varies with applied voltage as K=V. Initially A is uncharged. An identical capacitor B of capacitance C0  with air as dielectric is connected to voltage source V0=30V and then connected to the first capacitor after disconnecting the voltage source. The charge and voltage on capacitor

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a

B are 5C0 and 5V 

b

B are 5C0 and 25V 

c

A are 25C0 and 25V 

d

A are 25C0 and 5V 

answer is B, C.

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Detailed Solution

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Common p.d,   VC=0+(30)C0KC0+C0VC=30K+1=30VC+1
VC2+VC=30VC=5V QA=CAVC=KC0VC,      QB=CB  VC=C0(5)

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