A capacitor of capacitance C is initially charged to V. It is then connected with opposite polarity to a 2V battery. The ratio of heat generated to final stored energy is:
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A capacitor of capacitance C is initially charged to V. It is then connected with opposite polarity to a 2V battery. The ratio of heat generated to final stored energy is:

G1 Physics · Accepted Answer

Initial capacitor voltage is opposite the final battery voltage, so the net voltage change is 3V. Heat dissipated on redistribution is ½C(3V)² = 9CV²/2. Final capacitor energy is ½C(2V)² = 2CV². Ratio = (9/2)/2 = 9/4 = 2.25. Correct answer: B.