In the figure, C1=6 microF C2=3 microF C3=5microF. The capacitor is connected to

Question

In the figure, C1=6 microF C2=3 microF C3=5microF. The capacitor is connected to an applied potential Vab. After the charges on the capacitors hav reached their final values, the charge on C2 is 40 microC.

Find the charge on capacitor 1 Q1, the charge on capacitor 3 Q3, and the applied voltage Vab?

In the figure, C1=6 microF C2=3 microF C3=5microF. The capacitor is connected to an applied potential Vab. After the charges on the capacitors hav reached their final values, the charge on C2 is 40 microC. Find the charge on capacitor 1 Q1, the charge on capacitor 3 Q3, and the applied voltage Vab?

Explanation / Answer

Because C1 and C2 are in parallel V1 =V2 Q1/C1 =Q2/C2 Q1 =(C1/C2)Q2 Q1 =(6/3)40 =80 uC Q3=Q1+Q2 =80+40 Q3=120 uC total charge Q=Q3 =Q12=120 uC equivalent capacitance C= (6+3)*5/(6+3+5) =3.21 uF Vab =Q/C =120/3.21 Vab =37.33 V so 1) Q2=40 uC 2) Q3=120 uC 3) Vab =37.33 V

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