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  4. Two parallel plate capacitors of capacitances 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 completely filled with a material of dielectric constant K. The potential difference across the capacitors now becomes....

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Q. Two parallel plate capacitors of capacitances 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 completely filled with a material of
dielectric constant K. The potential difference across the
capacitors now becomes....

IIT JEEIIT JEE 1988Electrostatic Potential and Capacitance

Solution:

Total charge will remain unchanged.
Hence, $\, \, \, \, \, \, \, \, \, \, \, Q=Q' $
or $\, \, \, \, \, \, \, \, \, \, \, 3CV=(KC+2C)V' $
$\therefore $ $\, \, \, \, \, \, \, V'= \bigg (\frac {3}{K+2}\bigg )V $

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