A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 a b = 348 µF and C2 = 73 µF. The inductance is L = 270 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 195 mA and it has the direction %3D %3D C2 shown. 1) What is wo, the resonant frequency of this circuit? radians/s Submit +) 2) What is Q1(t1), the charge on the capacitor C, at time t = t1 = 14.8 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = t1. %3D %3D C Submit +) 3) What is Vbc(tj)= Vp - Vc, the voltage across the inductor at time t1 = 14.8 ms? Note that this voltage is a signed number. V Submit

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 23PQ: In the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF....
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A circuit is constructed with two capacitors and an
inductor as shown. The values for the capacitors are: C1
a
b
= 348 µF and C2 = 73 µF. The inductance is L = 270 mH.
At time t =0, the current through the inductor has its
maximum value IL(0) = 195 mA and it has the direction
%3D
%3D
C2
shown.
1) What is wo, the resonant frequency of this circuit?
radians/s Submit
+)
2) What is Q1(t1), the charge on the capacitor C, at time t = t1 = 14.8 ms?
The sign of Q1 is defined to be the sameas the sign of the potential
difference Vab = Va - Vb at time t = t1.
%3D
%3D
C Submit
+)
3) What is Vpc(t1)= Vp - Vc, the voltage across the inductor at time t1 =
14.8 ms? Note that this voltage is a signed number.
%3D
V Submit
4)
What is Q1,max, the magnitude of the maximum charge on capacitor
C,?
C Submit
Transcribed Image Text:A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 a b = 348 µF and C2 = 73 µF. The inductance is L = 270 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 195 mA and it has the direction %3D %3D C2 shown. 1) What is wo, the resonant frequency of this circuit? radians/s Submit +) 2) What is Q1(t1), the charge on the capacitor C, at time t = t1 = 14.8 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = t1. %3D %3D C Submit +) 3) What is Vpc(t1)= Vp - Vc, the voltage across the inductor at time t1 = 14.8 ms? Note that this voltage is a signed number. %3D V Submit 4) What is Q1,max, the magnitude of the maximum charge on capacitor C,? C Submit
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