Oct Cap and Res Quizx d Secure https://www.webassign.net/web/Student/AssignmentR

Question

Oct Cap and Res Quizx d Secure https://www.webassign.net/web/Student/AssignmentResponses/submit?dep=16094686#Q8 Submit Answer Save Progress 9. +-/5 points SerPSE9 28.P.063. The pair of capacitors in the figure below are fully charged by a 22.0-V battery. The battery is disconnected, and the switch is then closed 3.00 F 2.00 F 500 (a) After 1.9 ms has elapsed, how much charge remains on the 3.00-HF capacitor? HC (b) After 1.9 ms has elapsed, how much charge remains on the 2.00-uF capacitor? HC (c) What is the current in the resistor at this time? mA 4:33 PM Type here to search 10/24/2017

Explanation / Answer

Ceq = 3 + 2 = 5 uF

Q = Ceq V = 5 x 22 = 110 uC

after switch is closed,

T = R C =(5 x 10^-6)(500) = 2.5 ms

Q = Q0 [e^(-t/T)]

Q = 110 (e^(-1.9/2.5)) = 51.44 uC

V = Q / C = 51.44/5 = 10.3 Volt

(A) Q = 3 x 10.3 = 30.9 uC

(B) Q = 2 x 10.3 = 20.6 uC

(C) I = 10.3 / 500 = 0.0206 A = 20.6 mA

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