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Question

A parallel plate capacitor of capacitance 10μF is connected across a battery of e.m.f. 5 mV. Now, the space between the plates of the capacitor is filled with a dielectric material of dielectric constant K=5. Then, the charge that flows through the battery, till equilibrium is reached is

A
250 μC
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B
250 nC
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C
200 nC
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D
200 μC
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Solution

The correct option is C 200 nC
Case-I

Q1=10μF×5mV
Q1=10×106×5×103C
Q1=50×109C

Case-II

Q2=5×10μF×5mV
Q2=5×10×106×5×103C
Q2=250×109C
Now, Q2Q1=250×10950×109CQ2Q1=200×109C=200 nC


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