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Three capacitors are in series: C1 = 50F, C2 = 65 F, and C3 = 90 F. The series c

ID: 2049712 • Letter: T

Question

Three capacitors are in series: C1 = 50F, C2 = 65 F, and C3 = 90 F. The series combination is connected across a 48 V battery.

A) Find the charge on the capacitor C1, and compute the energy stored in the capacitor C1

B) Find the charge on the capacitor C2, and compute the energy stored in the capacitor C2

C) Find the charge on the capacitor C3, and compute the energy stored in the capacitor C3

Explanation / Answer

1/C = 1/C1 + 1/C2 +1/C3 => C = 21.51 uF => Q = CV = 21.51* 48 = 1.032 mC A) charge on C1 = Q = 1.032 mC Energy = 0.5*Q^2 /C = 0.011 J B) Q2 = Q = 1.032 mC E = 0.5 *Q^2/C2 = 0.0089 J C) Q3 =Q = 1.032 mC E = 0.5 Q^2/C3 = 0.0059 J

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