Question

Three identical capacitors and have a capacitance of each and they are uncharged initially. They are connected in a circuit as shown in the figure and is then filled completely with a dielectric material of relative permittivity . The cell electromotive force (emf) . First, the switch is closed while the switch is kept open. When the capacitor is fully charged, is opened and is closed simultaneously. When all the capacitors reach equilibrium, the charge on is found to be . The value of is: 

904050
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JEE Advanced

Solution

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Correct option is A)

The capacitor charges to as the switch is closed.

Ref. image 1

But when switch is opened and is closed, then capacitor is charged to , thus the net charge resides on and , as they are connected in series.

Ref. image 2

So, Apply the Kirchhoff loop,




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