Three capacitors are connected in series as shown in the figure. The capacitances are C1 = 5.7 μF, and C2 = 9.8 μF, C3 is unknown, and the charge stored in each capacitor is Q = 8.5 μC. a) Express the capacitance C of a capacitor in terms of charge Q and voltage ΔV on it. Part (b) Apply the above formula to capacitor C1 to find an expression for the potential difference ΔV12 across it. Part (c) Express the potential difference ΔV12 through potentials V1 and V2 where V1 and V2 are the potentials measured in the wires 1 and 2, respectively, relative to the negative side of the battery. Part (d) Calculate V2 in V given V1 = 9 V. Part (e) Repeat the above procedure for capacitor C2 and calculate the potential at point 3, V3 in V.

Three capacitors are connected in series as shown in the figure. The capacitances are C1 = 5.7 μF, and C2 = 9.8 μF, C3 is unknown, and the charge stored in each capacitor is Q = 8.5 μC. a) Express the capacitance C of a capacitor in terms of charge Q and voltage ΔV on it. Part (b) Apply the above formula to capacitor C1 to find an expression for the potential difference ΔV12 across it. Part (c) Express the potential difference ΔV12 through potentials V1 and V2 where V1 and V2 are the potentials measured in the wires 1 and 2, respectively, relative to the negative side of the battery. Part (d) Calculate V2 in V given V1 = 9 V. Part (e) Repeat the above procedure for capacitor C2 and calculate the potential at point 3, V3 in V.

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Question

Three capacitors are connected in series as shown in the figure. The capacitances are C₁ = 5.7 μF, and C₂ = 9.8 μF, C₃ is unknown, and the charge stored in each capacitor is Q = 8.5 μC.

a) Express the capacitance C of a capacitor in terms of charge Q and voltage ΔV on it.
Part (b) Apply the above formula to capacitor C₁ to find an expression for the potential difference ΔV₁₂ across it.
Part (c) Express the potential difference ΔV₁₂ through potentials V₁ and V₂ where V₁ and V₂ are the potentials measured in the wires 1 and 2, respectively, relative to the negative side of the battery.

Part (d) Calculate V₂ in V given V₁ = 9 V.

Part (e) Repeat the above procedure for capacitor C₂ and calculate the potential at point 3, V₃ in V.

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