The following figure shows a system of four capacitors, where the potential diff

Question

The following figure shows a system of four capacitors, where the potential difference across ab is 50.0 V. (Let C1 = 12.0 F, C2 = 4.5 F, C3 = 7.5 F, and C4 = 6.0 F.)

How much charge is stored in each of C1 and C2?

Q1 = ......................C Q2 = .......................C The following figure shows a system of four capacitors, where the potential difference across ab is 50.0 V. (Let C1 = 12.0 ½F, C2 = 4.5 ½F, C3 = 7.5 ½F, and C4 = 6.0 ½F.) How much charge is stored in each of C1 and C2? Q1 = ......................½C Q2 = .......................½C

Explanation / Answer

Vc1 + V of 12uF + Vc4 = 50V,

Vc1 = Vc2 + Vc3 = 2 Vc4
Vc1 + Vc1 + 2(Vc1) = 50V
Vc1 = 12.5 V
V(12uF) = Vc2 = 12.5 V
Vc4 = 2(Vc1) = 25V
Charge on C1 = (12uF)*(12.5V) = 150 uC
Charge on C2 = (4.5uF)*(12.5V) = 56.25 uC

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