A capacitor C1 of capacitance 5 μF 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 μF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is ____________ μC.

Before closing the switchQ=C1V0=5×30=150μCAfter closing the switchV=QC1+C2=15010+5=10VQ2=C2V=10×10=100μC

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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.

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Before closing the switch

$Q = C_{1} V_{0} = 5 \times 30 = 150 μC$

After closing the switch

$\begin{array}{l} V = \frac{Q}{C_{1} + C_{2}} = \frac{150}{10 + 5} = 10 V \\ Q_{2} = C_{2} V = 10 \times 10 = 100 μC \end{array}$

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