Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 F. 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.

$\frac{CV+q}{9C}+\frac{-3CV+q}{3C}=0$

$\Rightarrow CV+q-9CV+3q=0$

$\Rightarrow q=\frac{8CV}{4}=2CV$

$V_{AB}=\frac{CV+q}{9C}=\frac{3CV}{9C}=\frac{V}{3}=\frac{18}{3}=6volt$

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