A 6.0 uF and a 3.0uF capacitor are connected in series, and this combination is

Question

A 6.0 uF and a 3.0uF capacitor are connected in series, and this combination is connected in parallel with a 2.0 uF.
A. What is the net capacitance?
B. If 10V is applied across the whole network, find the voltage across each capacitor and the charge on each.

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Explanation / Answer

here,

6uF and 3 uF are in paralell , their equivalent capacitance , C1 = 6 * 3 /( 6 + 3)

C = 2 uF

2 uF and C are in parallel, their equivalent capacitance , Ceq = C + 2 uF = 4 uF

b)

the voltage across 2 uF , V1 = 10 V

the charge across 2 uF , Q1 = V1 * 2 uF = 20 uC = 2 * 10^-5 C

the charge across 6 uF and 3 uF , Q2 = V * C = 10 * 2 uC

Q2 = 20 uC = 2 * 10^-5 C

the volatge across 3 uF , V2 = Q2 /3

V2 = 6.67 V

the voltage across 6 uF , V3 = Q2 /6 = 3.33 V

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