The figure shows two identical parallel plate capacitors A and B of capacitances C connected to a battery. The key K is initially closed. The switch is now opened and the free spaces between the plate

Question

The figure shows two identical parallel plate capacitors $A$ and $B$ of capacitances $C$ connected to a battery. The key $K$ is initially closed. The switch is now opened and the free spaces between the plates of the capacitors are filled with a dielectric constant 3. Then which of the following statement (s) is/are true?

TestHub · Accepted Answer

Hint : ​ U = 2 1 ​ × 2 CV 2 = CV 2 ​ ​ U A ​ = 2 1 ​ ( KC ) V 2 = 2 3 ​ CV 2 U B ​ = 2 KC q 2 ​ = 2 KC [ CV ] 2 ​ = 2 K CV 2 ​ = 6 1 ​ CV 2 ​ Total energy when switch is open ​ ​ U = 2 1 ​ KCV 2 + 6 1 ​ CV 2 = 2 3 ​ CV 2 + 6 1 ​ CV 2 = 6 10 ​ CV 2 = 3 5 ​ CV 2 ​

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Options:(select one or more)

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