Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18V. The battery is then disconnected and the space between the plates of the capacitor of capacity C is completely filled with a material of dielectric constant 9. The final potential difference across the combination of capacitors will be_______V
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(6)

Initial charge on C = 18 CV
initial charge on 3C = 54 CV
Let final common potential difference = V ’
9CV ’ + 3CV ’ = 18CV + 54CV
12CV' = 72CV
V' = 6V
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