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 = 31.2 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 = 23.3 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 = 26.2 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)? uc

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 = 31.2 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 = 23.3 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 = 26.2 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)? uc

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ISBN:9781305952300

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Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Concept explainers

Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

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 = 31.2 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 = 23.3 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 = 26.2 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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Step 4: C1 and C3 are connected in series

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