For the system of capacitors shown in the figure below, find the following. (Let

Question

For the system of capacitors shown in the figure below, find the following. (Let C_1 = 7.00 mu F and C_2 = 1.00 mu F.) (a) the equivalent capacitance of the system Your response differs from the correct answer by more than 10%. Double check your calculations. mu F (b) the charge on each capacitor on C_1 on C_2 on the 6.00 mu F capacitor on the 2.00 mu F capacitor (c) the potential difference across each capacitor across C_1 across C_2 across the 6.00 mu F capacitor across the 2.00 mu F capacitor

Explanation / Answer

part A)

for the net capacitance

Cnet = 7 * 6/(7 + 6) + 2 * 1/(1 + 2)

Cnet = 3.89 uF

the net capacitance is 3.89 uF

b)

for the charge on the capacitors

charge on C1 = charge on 6 uF = 7 * 6/(7 + 6) * 90

charge on C1 = charge on 6 uF = 290 uC

charge on C2 = charge on 1 uF = 1*2/(2 + 1) * 90

charge on C2 = charge on 1 uF = 60 uC

c)

potential across C1 = 290/7 = 41.4 V

potential across C2 = 60/1 = 60 V

potential across 6 uF = 90 - 41.4 = 48.6 V

potential across 2 uF = 90 - 60 = 30 V

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