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Three capacitors are connected as shown in the figure. C1 = 4.2μF, C2 = 6.6 μF, C3 = 3.1 μF. The voltage on the battery is 12 V.

Part (a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement.

Part (b) Using the above result, express the total capacitance in terms of C12 and C3.

Part (c) Calculate the numerical value of the total capacitance in μF.

Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference ΔV across the battery.

Part (e) Calculate the numerical value of Q in μC.

Part (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV.

Part (g) Calculate the numerical value of U in ΔJ.

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