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 = 22.8 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= 26.6 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)? μC

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Chapter26: Capacitance And Dielectrics
Section: Chapter Questions
Problem 26.10OQ: (i) A battery is attached to several different capacitors connected in parallel. Which of the...
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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 91
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 = 22.8 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 43 = 26.6 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)?
μC
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 91 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 = 22.8 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 43 = 26.6 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)? μC
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