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 C1 = 3.00 ?F and C2 = 9.00 ?F.) Please show your work (picture below).

+ -/10 points SerCP10 16.P.031 For the system of capacitors shown in the figure below, find the following. (Let C1 = 3.00 F and C2 = 9.00 F) 6.00 F 2.00 F 90.0 V (a) the equivalent capacitance of the system (b) the charge on each capacitor on C on C2 on the 6.00 F capacitor on the 2.00 F capacitor HC HC HC HC c) the potential difference across each capacitor across C,1 across C;2 across the 6.00 F capacitor across the 2.00 F capacitor

Explanation / Answer

here,

a.)

for series combination
1/c3= 1/c1 + 1/6 = 1/3 + 1/6 = 1/2 F
c' = 2 F

1/c4= 1/c2 + 1/2 = 1/9 + 1/2 = 11/18 F
c'' = 1.64 F

now c' and c'' are in parallel so
c = c' + c''

c = 3.64 F

Total capacitance in circuit is 3.64 F

b)
The Q is identical for capacitors which are in series.
Q = C * V

Q1 = 2 * 90 = 180 C

also

Q2 = 1.64 *90 = 147.6 C

C).
Potential difference accross each capcacitor

v1 = Q/c1 = 180 / 3 = 60 V
V2(6F) = 90-60 = 30 V

also

V3(2F) = Q2/2.00 = 147.6/2 = 73.8 V
V4 = 90 - 73.8 = 16.2 V

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