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Two capacitors with capacitance 2C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C is filled completely with a medium of dielectric constant K. The potential difference across the capacitors equals:

a
3VK+2
b
3VK
c
VK+2
d
VK

detailed solution

Correct option is A

q1=2CV, q2=CVNow condenser of capacity C is filled with dielectric K, therefore C2 = KCAs charge is conserved∴   q1+q2=C2+2CV⇒V′=3CV(K+2)C=3VK+2

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