In (Figure 1), C_1 = 6.00 mu F, C_2 = 3.00 mu F, and C_3 = 5.00 mu F. The capaci
ID: 1535592 • Letter: I
Question
In (Figure 1), C_1 = 6.00 mu F, C_2 = 3.00 mu F, and C_3 = 5.00 mu F. The capacitor network is connected to an applied potential V_ab. After the charges on the capacitors have reached their final values, the charge on C_2 is 30.0 mu C. What is the charge on capacitor C_1 ? Express your answer with the appropriate units. Q_1 = What is the charge on capacitor C_3? Express your answer with the appropriate units. Q_3 = What is the applied voltage V_ab? Express your answer with the appropriate units. V_ab =Explanation / Answer
C1 = 6uF, C2 = 3uF, C3 = 5 UF
Part A: Charge on C2 is Q2= 30 uC
V2 = Q2/C2 = 30/3 = 10 V
in parallel combination current is constant
V1 = 10 V
Q1 = 10*6 = 60 uC
Charge on capacitor C1 is = 60 uC
Part B:
Q12 =Q1 +Q2 = 30 +60 = 90 uC
in series combination charge is constant
Q12 = Q3 = 90 uC
charge on C3 is 90 uC
Part C:
C12 = 6+3 = 9 uF
C123 = C12*C3/(C12+C3)
C123 = (9*5)/(9+5) = 3.2 uF
V123 = 90/3.2 = 28.125 V
Vab = 28.125 V