Suppose 2mF capacitor and a 6mF capacitor are connected in series. This combinat

Question

Suppose 2mF capacitor and a 6mF capacitor are connected in series. This combination is connected in parallel with a 3mF capacitor. (a) What is the equivalent capacitance of this arrangement? (b) If this arrangement is connected to a 12V battery, what is the total charge held by this arrangement and the charge on each capacitor?

Explanation / Answer

   C1 = 2 mF    C2 = 6 mF    C3 = 3 mF C1 and C2 are in series      ==> C12 = C1 + C2 / C1C2 =8 / 12 = 2/3 = 0.666 mF C12 and C3 are in parallel      ==> C123 = C12 + C3 = 0.666 mF + 3 mF =3.666 mF a) C123 = 3.666 mF b) The total charge held by this arrangement Q = C123 V =3.666 x 10-3 F * 12V = 44 mC

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