Three capacitors with capacitances C1 = 6.9 ?F, C2 = 3.9 ?F, and C3 = 4.7 ?F are

Question

Three capacitors with capacitances C1 = 6.9 ?F, C2 = 3.9 ?F, and C3 = 4.7 ?F are connected in a circuit as shown in the figure, with an applied potential of V. After the charges on the capacitors have reached their equilibrium values, the charge Q2 on the second capacitor is found to be 87. ?C. a) What is the charge, Q1, on capacitor C1? b) What is the charge, Q3, on capacitor C3? c) How much voltage, V, was applied across the capacitors?

Three capacitors with capacitances C1 = 6.9 ?F, C2 = 3.9 ?F, and C3 = 4.7 ?F are connected in a circuit as shown in the figure, with an applied potential of V. After the charges on the capacitors have reached their equilibrium values, the charge Q2 on the second capacitor is found to be 87. ?C. a) What is the charge, Q1, on capacitor C1? b) What is the charge, Q3, on capacitor C3? c) How much voltage, V, was applied across the capacitors?

Explanation / Answer

Three capacitors with capacitances C1 = 6.9 ?F, C2 = 3.9 ?F, and C3 = 4.7 ?F are connected in a circuit as shown in the figure, with an applied potential of V. After the charges on the capacitors have reached their equilibrium values, the charge Q2 on the second capacitor is found to be 87. ?C.

a) What is the charge, Q1, on capacitor C1?

q1/C1 = q2/C2

q1 = q2 C1/C2 = 87*6.9/3.9 = 153.92 154 C

b) What is the charge, Q3, on capacitor C3?

Q3 = Q1 + Q2 = 87 + 153.92 = 240.92 241 C

c) How much voltage, V, was applied across the capacitors?

q2/C2 + q3/C3 = 87/3.9 + 240.92/4.7 = 73.567 73.6 V

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