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Q.

A capacitor of capacitance C is initially charged to a potential difference of V volt. Now, it is connected to a battery of 2V with opposite polarity. The heat developed is.

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a

$\frac{3}{2} C V^{2}$

b

$\frac{9}{2} C V^{2}$

c

$C V^{2}$

d

$\frac{9}{4} C V^{2}$

answer is B.

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Detailed Solution

Initial charge -CV, final charge +2CV, charge supplied by batter is 3CV.

Heat liberated = work done by battery - ∆U

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A capacitor of capacitance C is initially charged to a potential difference of V volt. Now, it is connected to a battery of 2V with opposite polarity. The heat developed is.