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Question

# Two parallel-plate capacitors of capacitance C and 2C are connected in parallel and charged to a potential difference V. The battery is then disconnected and the region between the plates of capacitor C is filled completely with a material of dielectric constant K. The common potential difference across the combination becomes

A
2VK+2
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B
2VK+2
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C
3VK+3
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D
3VK+2
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Solution

## The correct option is D 3VK+2Initally, Case I Ceq=C1+C2=C+2C=3C Qnet=3C×V Qnet=3CV Case II C′=KC+2C C′=C(K+2) Now Vcommon=QnetCnet=3CVC(K+2)=3V(K+2)

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