Week 2 Problem 18.45 Problem 18.45 n the circuit shown in (Figure 1 the potentia

Question

Week 2 Problem 18.45 Problem 18.45 n the circuit shown in (Figure 1 the potential difference across ab is 21.5V. Figure 1 of 1 3.00 pF 5.00uF 6.00 HF Part A Calculate the charge on the 3.00 puF capacitor Express your answer in microcoulombs to three significant figures AC Submit My Answers Give Up Part B Calculate the charge on the 5.00 uF capacitor. Express your answer in microcoulombs to three significant figures. Q2 AC Submit My Answers Give U Part C Calculate the charge on the 6.00 uF capacitor. Express your answer in microcoulombs to three significant figures. AC

Explanation / Answer

3.00 uF and 5.00 uF are in parallel, their equivalent capacitance,
C' = 3.00 uF + 5.00 uF = 8.00 uF

This 8.00 uF and 6.00 uF are in series,
Ceq = 8.00*6.00 / (8.00 + 6.00) = 3.43 uF

Q3 = Qeq = Veq*Ceq
= 21.5 V * 3.43 uF
= 73.7 uC

V3 = Q3/C3
= 73.7 /6
= 12.3 V

V1=V2 = Veq - V3 = 21.5 - 12.3 = 9.2 V

Q1 = C1*V1 = 3*9.2 = 27.6 uC
Q2 = C2*V2 = 5*9.2 = 46 uC

Answer:
A) 27.6 uC   
B) 46.0 uC
C) 73.7 uC
D) 9.20 V
E) 9.20 V
F)12.3 V

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