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

ID: 1615930 • Letter: F

Question

For the system of capacitors shown in the figure below, find the following (Let C_1 = 5.00 mu F and C_2 = 7.00 mu F.) the equivalent capacitance of the system _________ mu F the charge on each capacitor on C_1 ___________ mu C on C_2 _________ mu C on the 6.00 mu F capacitor ______ mu C on the 2.00 mu F capacitor _________ mu C the potential difference across each capacitor across C_1 _________ V across C_2 _________ V across the 6.00 mu F capacitor ___________ V across the 2.00 mu F capacitor ___________ V

Explanation / Answer

5 and 6 micro F are in sereis = 5*6/11 = 2.71 micro F

2 and 7 micro F are in series = 2*7/9 = 1.55 micro F

c tot = 2.71+1.55 = 4.26 micro F

in paralle v is same

v1.55 = v2.71 = 90 V

q2.71 = 2.71*10^-6*90 = 243.9 micro C

in series q is same so q5 = q6 = 243.9 micro C

q1.55 = 139.5 micro C

q2 = q7 = 139.5 micro C

v5 = q5/5*10^-6 = 48.78 V

v6 = q6/6*10^-6 = 40.65 V

v2 = 69.75 V

v7 = 19.91 V

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