An engineer has three different capacitors of unknown capacitance. She labels them C₁, C₂, and C₁. First, she connects C, to a battery, and the charge on C₁ is q₂ = 32.2 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 = 23.6 µC. The engineer disconnects the circuit and discharges both capacitors. Next, she connects C₁, C₁, and the battery in series, which results in a charge on C₁ of 93= 25.4 µC. If, after being disconnected and discharged, she connects C₁, C₂, and C₂ in series with the battery, what is the charge on C, (in μC)?

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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 = 32.2 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 9₂ = 23.6 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
93 = 25.4 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)?
X
Transcribed Image Text: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 = 32.2 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 9₂ = 23.6 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 93 = 25.4 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)? X
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