Capacitors and a switch

Level pending

Two capacitors \(C_1=2 \mu F\) and \(C_2=3 \mu F\) are connected to a power supply of \(100V\) by a switch (position 1). When capacitors are fully charged, switch is set to position 2. What will be the charge (in micro coulombs) on the third capacitor \(C_3=6 \mu F\)?

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