Four capacitors are connected in series and parallel as shown below. (C1=13.8 mi
ID: 2048073 • Letter: F
Question
Four capacitors are connected in series and parallel as shown below.(C1=13.8 microFarads C2=3.12 C3=6.6 C4=53.8
and C1 and C2 are in series. Ceq12 and C3 are parallel. Ceq(12)3 is in a series with C4.)
Find the equivalent capacitance for the combination shown. Then calculate the charge on the 13.8 µF capacitor if 5 V battery is connected across points a and b. Answer in units of µC.
Explanation / Answer
C1 and C2 are in series. . Ceq(12)3 is in a series with C4 => Ceq12 = C1C22/(C1+c2) = 2.545 uF Ceq12 and C3 are parallel => Ceq(12)3 = Ceq12 + C3 = 9.145 uF Ceq(12)3 is in a series with C4 => Cequ = 9.145 * 53.8/(53.8+9.145) = 7.816 uF now Q = CV => Q = 7.816*5 = 30.08 uC charge on Ceq12 = Ceq12/(C3+Ceq12) * Q = 8.374 uF => charge on C1 is 8.374 uF
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