For capacitor 3 and capicitor C i have 35.5 , Is it the correct answer Four capa

Question

For capacitor 3 and capicitor C i have 35.5 , Is it the correct answer

Four capacitors are connected as shown in the figure below. (Let C = 20.0 µF.)

(a) Find the equivalent capacitance between points a and b.
5.98 µF

(b) Calculate the charge on each capacitor, taking Vab = 20.0 V.

You are correct that the charge on this capacitor plus the charge on the 6 µF capacitor must be equal to the charge on the 20 µF capacitor. µC

  

You are correct that the charge on this capacitor will be the same as the charge on the 3 µF capacitor. µC

for capacitor 6 and capicitor C i have 35.5 , Is it the correct answer

20.0 µF capacitor 119.6 µC 6.00 µF capacitor 84.12  µC 3.00 µF capacitor 35.5

You are correct that the charge on this capacitor plus the charge on the 6 µF capacitor must be equal to the charge on the 20 µF capacitor. µC

capacitor C 35.5

  

You are correct that the charge on this capacitor will be the same as the charge on the 3 µF capacitor. µC

for capacitor 6 and capicitor C i have 35.5 , Is it the correct answer

Explanation / Answer

a) the equivalent capacitances between C and 3uf in series:
= 20*3/(20 + 3) = 2.61 uF
the previous and 6uF in parallel:
= 2.61 + 6 = 8.61 uF
the previous and 20 uF in series:
= 8.61*20/(8.61 + 20) = 6.02 uF, equivalent capacitance between points a and b

b) the charge between points a and b = 6.02*20 = 120.4 uC
the charge on 20 uF = 120.4 uC

the charge on parallel capacitors = 120.4 uC
the voltage across parallel capacitors = 120.4/8.61 =13.98 V
the charge on 6 uF = 6*13.98 = 83.88 uC

the charge on series capacitors = 2.61*13.98 = 36.5 uC
the charge on 3 uF = 36.5 uC

the charge on C = 36.5 uC

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