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An engineer has three different capacitors of unknown capacitance. She labels them C1, C2, and C3....

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Physics

An engineer has three different capacitors of unknowncapacitance. She labels them C1, C2, and C3. First, she connects C1to a battery, and the charge on C1 is q1 = 30.4 µC. Then, shedisconnects and discharges C1, and connects it in series with C2.When she connects this series combination of C2 and C1 across thebattery, the charge on C1 is q2 = 23.3 µC. The engineer disconnectsthe circuit and discharges both capacitors. Next, she connects C3,C1, and the battery in series, which results in a charge on C1 ofq3 = 26.8 µC. If, after being disconnected and discharged, sheconnects C1, C2, and C3 in series with the battery, what is thecharge on C1 (in µC)?

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