A capacitor C1 of capacitance 5 μ F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 μ F as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is __________ μ C. Numerical answer type. Work it out, then open the answer.

Answer: 100. Q = 5 × 30 = 150 μ C Common potential V = (150)/(5 + 10) = 10 V q₂ = 10 × 10 = 100 μ C

A capacitor C1 of capacitance 5 μ F is charged to a potential of 30 V… | JEE Main 2022 (28 Jun, Shift 2)

Q21JEE Main 2022 · 28 JUN · SHIFT 2Medium

Charge Sharing & Loss of Energy

A capacitor C1 of capacitance 5 $\mu$ F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 $\mu$ F as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is __________ $\mu$ C.

Numerical answer type. Work it out, then open the answer.

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Answer: 100

$Q = 5 \times 30 = 150\ \mu$ C
Common potential $V = \frac{150}{5 + 10} = 10$ V
$q_2 = 10 \times 10 = 100\ \mu$ C

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