Consider a series RLC circuit having the following circuitparameters: R = 215 ,
ID: 1674521 • Letter: C
Question
Consider a series RLC circuit having the following circuitparameters:R = 215 , L = 545 mH, and C = 25.0F. The appliedvoltage () has an amplitude of 50.0 V and a frequency of 60.0Hz.
(a) Find the maximum current and its phase relative to the appliedvoltage
(b) Find the angle between te voltage across the capacitor and thecurrent
(c) At an instant of time during the oscillations of an RLC circuitwhen teh current is momentarily zero what is the energy stored inteh circuit?
(d) Suppose you can change the frequency from 0 to very largevalues. How would the voltage across the resistor depend onfrequency. Make a qualitative plot of VR/ asa function of frequency
Explanation / Answer
Part a =2f=2*60=376.991 XL=L=376.991 * 545 = 205.46 XC=1/(C)=1/(376.991*25*10-6F)=106.103 Z =(R2+(XL+XC)2) =(2152+(205.46-106.103)2) = 236.848 I = V/Z = 50.0/236.848 = .211A tan() = (XL-XC)/R =(205.46-106.103)/215 = .462 tan-1(.462) = = 24.8 degrees Part b The voltage across the capacitor is always behind the current by 90degrees