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 = 14.0 µF, C2 = 6.0 µF, C3 = 9.0 µF, and C4 = 4.0 µF.)

9. 0/4 points| Previous Answers YF14 24.P.014 My Notes Ask Your Teacher The following figure shows a system of four capacitors, where the potential difference across ab is 50.0 V. (Let G = 14.0 uf, C2 = 6.0 C3 = 9.0 ur, and C4 = 4.0 ) Cr 4 Gt C3 (a) Find the equivalent capacitance of this system between a and b. 388 (b) How much charge is stored by this combination of capacitors? HC (c) How much charge is stored in each of C1 and C2? 2

Explanation / Answer

for a capacitor q=c*v

c2 and c3 are in parallel no their net C = c2+c3 = (6+9)*10^-6

now all three in series

1/(Ctotal) = [(1/14)+(1/15) +(1/4)]*10^6

a)Ctotal = 2.57*10^-6 F

b) since all are in series

q on combination can be get = Ctotal * Vab = 1.2888*10^-4 Columbs

c)

charge sotred on C1 = 1.288*10^-4 columbs

to find charge stored on C2

we know charge stored on c2 and c3 combination = 1.288*10^-4 Columbs

since C2 and C3 in parallel

their resultant C =C23 = 15*10^-6 C

V = q/c = 1.288*10^-4/(15*10^-6) = 8.5889 V

for finding C2
we know q=cv

Q2 = 6*10^-6 * 8.5889 = 5.15*10^-5 columbs

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