1.) An LC circuit has a capacitance of C = 0.5 µF and an inductance of L = 5.5 mH. At time t = 0 s the inductor has a current of i completely discharged. (a) Calculate the resonant frequency of the circuit. (b) What is the maximum charge of the capacitor? (c) Write down the equation of the charge with respect to time, where the only variables are q and t. (d) Write down the equation of the current with respect to time, where the only variables are i and t. %3D %3D 3.0 mA through it and the capacitor is

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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1.) An LC circuit has a capacitance of C = 0.5 µF and an inductance of L = 5.5 mH. At time
t = 0 s the inductor has a current of i = 3.0 mA through it and the capacitor is
completely discharged. (a) Calculate the resonant frequency of the circuit. (b) What is
the maximum charge of the capacitor? (c) Write down the equation of the charge with
respect to time, where the only variables are q and t. (d) Write down the equation of
the current with respect to time, where the only variables are i and t.
%3D
Transcribed Image Text:1.) An LC circuit has a capacitance of C = 0.5 µF and an inductance of L = 5.5 mH. At time t = 0 s the inductor has a current of i = 3.0 mA through it and the capacitor is completely discharged. (a) Calculate the resonant frequency of the circuit. (b) What is the maximum charge of the capacitor? (c) Write down the equation of the charge with respect to time, where the only variables are q and t. (d) Write down the equation of the current with respect to time, where the only variables are i and t. %3D
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