A thin metallic partition of negligible thickness is inserted between two shaded metallic plates as shown. The remaining ends are then packed with insulating plates to form a container like structure.$2$ taps shown are opened at $t = 0$ and finally closed at $t = 5s$. Find capacitance of system between $A$ and $B$ after closing taps. (Assume liquid to be non conducting) Volumetric flow rates and dieletric constants of liquid are given.
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Finally system behaves as shown

(net ${ = \frac{{\left( {15{\varepsilon _0}} \right)\left( {30{\varepsilon _0}} \right)}}{{45{\varepsilon _0}}} = 10{\varepsilon _0} = 8.85 \times {{10}^{ - 11}}F}$)

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