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Solving Capacitor Circuits

Solving Capacitor Circuits

26. Capacitors & Dielectrics / Solving Capacitor Circuits / Problem 2

The three capacitors, C₁ = 9 µF, C₂ = 6 µF, and C₃ = 4 µF are arranged as illustrated in the figure below. A voltage source connected across the combination provides a potential difference, V_PS. Once the capacitors are fully charged, the charge on C₂ is 40 μC. Determine i) the charges Q₁ and Q₃ on each of the capacitors C₁ and C₃ and ii) the numerical value of V_PS.

ANSWERS OPTIONS

A

i) Q₁ = 40 μC; Q₃ = 60 μC
ii) V_PS = 31.64 V

B

i) Q₁ = 60 μC; Q₃ = 40 μC
ii) V_PS = 5.26 V

C

i) Q₁ = 60 μC; Q₃ = 100 μC
ii) V_PS = 31.64 V

D

i) Q₁ = 100 μC; Q₃ = 100 μC
ii) V_PS = 5.26 V

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