An engineer has three different capacitors of unknown capacitance. She labels them C1, C2, and C3. First, she connects C1 to a battery, and the charge on C1 is q1 = 30.2 µC. Then, she disconnects and discharges C1, and connects it in series with C2. When she connects this series combination of C2 and C1 across the battery, the charge on C1 is q2 = 23.4 µC. The engineer disconnects the circuit and discharges both capacitors. Next, she connects C3, C1, and the battery in series, which results in a charge on C1 of q3 = 26.4 µC. If, after being disconnected and discharged, she connects C1, C2, and C3 in series with the battery, what is the charge on C1 (in µC)?

An engineer has three different capacitors of unknown capacitance. She labels them C1, C2, and C3. First, she connects C1 to a battery, and the charge on C1 is q1 = 30.2 µC. Then, she disconnects and discharges C1, and connects it in series with C2. When she connects this series combination of C2 and C1 across the battery, the charge on C1 is q2 = 23.4 µC. The engineer disconnects the circuit and discharges both capacitors. Next, she connects C3, C1, and the battery in series, which results in a charge on C1 of q3 = 26.4 µC. If, after being disconnected and discharged, she connects C1, C2, and C3 in series with the battery, what is the charge on C1 (in µC)?