Question

Three capacitors with capacitances C₁ = 6.3 ?F, C₂ = 1.1 ?F, and C₃ = 4.3 ?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 55. ?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?

C1 C2 C3

Answer 1

Here ,

as the potential across the capacitors is same in parallel

Q1/C1 = Q2/C2

Q1/6.3 = 55/1.1

Q1 = 315 uC

b)

as the charge is same in series ,

Q3 = Q1 + Q2

Q3 = 315 + 55

Q3 = 370 uC

the charge on capacitor 3 is 370 uC

c)

NOw , voltage across capacitors

V = 370/4.3 + 315/6.3

V = 136.1 V

the potential across capacitors is 136.1 V