Question

Determine the values of the following variables in Circuit A.

Given values: Vs= 12V; C1=100μF, C2= 200μF, C3= 5μF

a. V1
b. V2
C. V3
d. Q1
e. Q2
f. Q3
g. Total Capacitance, C_T
h. Total Charge, Q_T

Answer 1

a. $V_1=q_1/C_1=55.8\cdot10^{-6}/100\cdot10^{-6}=0.558\ (V)$

b. $V_2=q_2/C_3=55.8\cdot10^{-6}/200\cdot10^{-6}=0.279\ (V)$

c.$V_3=q_3/C_3=55.8\cdot10^{-6}/5\cdot10^{-6}=11.16\ (V)$

d. $q_1=q_T=55.8\ (\mu C)$

e. $q_2=q_T=55.8\ (\mu C)$

f. $q_3=q_T=55.8\ (\mu C)$

g. $1/C_T=1/C_1+1/C_2+1/C_3\to1/C_T=1/100+1/200+1/5=0.215\to$

$C_T=1/0.215=4.65 \ (\mu F)$ .

h. $q_T=CV_s=4.65\cdot10^{-6}\cdot12=55.8\ (\mu C)$