A circuit is constructed with five capacitors and a battery as shown. The values

Question

A circuit is constructed with five capacitors and a battery as shown. The values for the capacitors are: C1-C5-43 C2-3 C3 = 6.8 lf, and C4 -3.5 The battery voltage is V = 12 V 2 4 1) What is Cab, the equivalent capacitance between points a and b? F Submit 2) What is Cac, the equivalent capacitance between points a and c? F Submit 3) What is Q5, the charge on capacitor C5? C Submit 4) What is Q2, the charge on C2? uC Submit 5) What is Q1, the charge on capacitor C1? C Submit 6) What is V4, the voltage across capacitor C4? Submit

Explanation / Answer

1) for points a and b

C2 and C3 are in series

1/Cab = 1/C2 + 1/C3

1/Cab = 1/3 + 1/6.8

Cab = 2.08 uF

2) for the Cac

for Cab and C4 in parallel

C7 = Cab + C4

C7 = 2.08 + 3.5

C7 = 5.58 uF

for Cac

1/Cac = 1/5.58 +1/4.3

Cac = 2.42 uF

3)

for equivalent capacitor

1/Ceq =1/2.42 + 1/4.3

Ceq = 1.55 uF

charge on C5 = V * Ceq

charge on C5 = 1.55 * 12 uC

charge on C5 = 18.63 uC

4)

charge on C2 = Q5 * (Cab)/(Cab + C4)

charge on C2 = 18.63 * 2.08(2.08 + 3.5)

charge on C2 = 6.94 uC

the charge on C2 is 6.94 uC

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