A loaded filter circuit is shown in the figure below, where R=5k2; L=4H; C=4µF; RL=20k2.V;CL.VoRpa) What is the loaded bandwidth B = [Select ]of the system in rad/s?b) What is the value for the coefficient X = [ Select ]V in the equation of loaded bandwidth (BL) as a function of theunloaded bandwidth (Bu)? Where, BL = X. BU.c) What is the value for the (loaded) quality factor QL[ Select ]of the system?d) What is the value for the coefficient A= [ Select]Y in the equation of loaded quality factor (Q) as a function of theunloaded quality factor(Qu)? Where, Q = A · QUe) The values of cut off frequencies w1 and we2 are: ±+ w ; where awo is [Select ]Wc1Hints:Wo = 1/sqrt(LC)Bandwidths of parallel and series RLC in rad/sec: Bp = 1/(RC), Bs = R/L. (Ris the equivalent resistance including the effect of the load resistance%3DR)Q = wo/B%3DB = Wc2- Wc1%3D<><>II ViCVoRLa) What is the loaded bandwidth B = [Select ]v of the system in rad/s?b) What is the value for the coefficient X = [Select]v in the equation of loaded bandwidth (B) as a function of the%3Dunloaded bandwidth (Bu)? Where, BL = X. Bu.%3Dc) What is the value for the (loaded) quality factor Q = [ Select ]v of the system?d) What is the value for the coefficient A= [Select][ Selectin the equation of loaded quality factor (QL) as a function of theunloaded quality factor(Qu)? Where, QL = A · Que) The values of cut off frequencies wc1 and wc2 are: ±V+ w ; where Wo is [4Select ]WCc2Hints:Wo = 1/sqrt(LC)Bandwidths of parallel and series RLC in rad/sec: Bp = 1/(RC), Bs = R/L. (R is the equivalent resistance including the effect of the load resistanceR)Q = wo/B%3DB = Wc2 -Wc1Wc1 = - B/2 + sqrt(B^2/4 + wo²)Wc2 = +B/2 + sqrt(B^2/4 + wo²)Wo = sqrt(wc1Wc2)%3D%3D>

Given ; R = 5 kΩL =4HC=4HRL=20kΩSolution (1) Loaded Bandwidth βL We know that βL =R+RLRLx1RC…

A loaded filter circuit is shown in the figure below, where R=5KS2; L=4H; C=4µF; R =20k2. R L a) What is the loaded bandwidth B = [Select ] of the system in rad/s? b) What is the value for the coefficient X = [ Select ] in the equation of loaded bandwidth (B) as a function of the unloaded bandwidth (Bu)? Where, ßL = X. Bu. c) What is the value for the (loaded) quality factor Q [ Select ] of the system? %3D

A loaded filter circuit is shown in the figure below, where R=5KS2; L=4H; C=4µF; R =20k2. R L a) What is the loaded bandwidth B = [Select ] of the system in rad/s? b) What is the value for the coefficient X = [ Select ] in the equation of loaded bandwidth (B) as a function of the unloaded bandwidth (Bu)? Where, ßL = X. Bu. c) What is the value for the (loaded) quality factor Q [ Select ] of the system? %3D

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Problem 3 – Resonance in AC networks [8] The parameters of a series RLC circuit are R = 1 kQ, L = 8 mH and C = 20 pF. The applied voltage is 20 V rms of variable frequency. Determine the following: (a) Resonant frequency. (b) Current at resonance. (c) Q-factor (d) Voltage across the inductor at resonance. (e) Voltage across the capacitor at resonance. (f) Lower and upper half power frequencies. (g) Bandwidth.
P3 For the series RLC circuit given in Figure 4 for Vs=10sinot R=2.2 2, L=100 uH and C=1000 uF a) Obtain the resonant frequency and the half-power frequencies. b) Calculate the quality factor and bandwidth. c) Determine the amplitude of the current at 60, 6 and 02. d) Plot the current amplitude versus frequency e) Use LTSPICE to plot frequency response.
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Problem 3 – Resonance in AC networks [8] The parameters of a series RLC circuit are R = 1 kQ, L = 8 mH and C = 20 pF. The applied voltage is 20 V rms of variable frequency. Determine the following: (e) Voltage across the capacitor at resonance. (f) Lower and upper half power frequencies. (g) Bandwidth.
3. For the series circuit below. a. Find the value of Xc for resonance. b. Determine the total impedance of the circuit at resonance. c. Find the magnitude of the current /. d. Calculate the voltages VR, VL, and Vc at resonance. e. What is the quality factor of the circuit? f. What is the power dissipated by the circuit at resonance? + VR www + VL moo R = 100 XL = 30 E 50 mV
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The impedance value of an RLC circuit is 30 N (as maximum value), during a resonance with 60 Hz. BW is 20 Hz for the resonance point. a) Draw the circuit and calculate the R, L, C values. b) If we supply a signal with 50 Hz to this circuit, what do you think about the characteristic behavior of the circuit?
16V for the given circuit: Fuke 5kR a) Set the re B=120 find Avmid Eloke vi c) zi %3D it ) Find the Avs nind Vs %3D e) fls, FLC and fLE values. f) Determine the Low cuł-off frequencies. 9) Bode Curves using the cul-off frequencies Jou found described in pein? Draw the asymplotes k) plut the law Frequency respanse of the amplifier using the resullt you found at poin ? f cwi=5pf, Cwo = 8Pf , Cbc=12 Pf, Cbe =90 Pf, Cce=8p %3D
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Homework #4 To plot the Bode plots of a given transfer function. 1.) Put the transfer function in STANDARD FORM. 2.) Write the Magnitude and phase equations from the STANDARD FORM. 3.) Plot the magnitude of each term separately. 4.) Add all magnitude terms to obtain the magnitude transfer function. 5.) Repeat 2-4 for the phase response. 6.) The total magnitude response in Decibel units is the summation and subtraction of the responses of different terms. 7.) The total phase response in degrees is the summation and subtraction of the phase responses of different terms. STANDARD FORM 0.4(1+ j@/10) jø(1+ jo/5)? 20 log10 (ω) - H, = 20 log, 0.4+ 20 log10|1+ j@/10|- 20log,| ja|- 40 log,o|1+ j@/5| -1 $ = 0° + tan'(o/10) %3D - 90° – 2 tan (@/5) -