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JEE Main 2022 (26 Jun, Shift 1) · Charge Sharing & Loss of Energy

Charge Sharing & Loss of Energy question from JEE Main 2022 (26 Jun, Shift 1)

Q20JEE Main 2022 · 26 JUN · SHIFT 1Medium

Charge Sharing & Loss of Energy

Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now connected to uncharged capacitor C2 by closing the switch S. The amount of charge on the capacitor C2, after equilibrium, is:

Figure

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Answer: (a)

  1. Charge C1VC_1V is shared; common potential V′=C1VC1+C2V' = \frac{C_1V}{C_1 + C_2}.
  2. q2=C2V′=C1C2C1+C2Vq_2 = C_2V' = \frac{C_1C_2}{C_1 + C_2}V
  3. So the answer is (a).
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