Consider a system G(s) in a unity feedback setting, with a bode plot as shown in figure below:Bode Diagram250200150O 10050-50-100-150-135-180-2701010102Frequency (rad's)10110°10'1024) The steady state error due to a unit ramp reference isMagnitude (dB)(bap) əseyd

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Answered: 10* 10 10 Frequency (rad s) 10 10° 10'…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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The operational amplifier circuit shown in the figure is used as a high pass filter. Assume:C=150nF, Ro=200ΩR1 =2kΩ , R2 =6kΩDetermine:A. The Vo/Vs gain in decibels in the bandwidth.B. The cutoff frequency.
Consider a system with a stable loop transfer function L(s). If the gain|L(iω)| is less than 1 (0 dB) whenever the phase ∠L(iω) crosses −180◦, then the closed-loop system is stable. Answer ture or fasle with explanation. If the Nyquist plot of the loop gain L(s) encircles −1, then the closed-loop system is unstable. Answer ture or fasle with explanation.
Please Proper Sketch. Plot the root locus for a unity feedback system whose forward transfer function is G(s) = (10(s + 1))/(s(s - 3))
Ex. 1400. See Fig1400a. MdB= -5 dB, Phdeg=-142.42 deg, w1=12 rad/sec, and w2=1200 rad/sec. The Bode plots of GH are given. Determine (1) closed- loop gain margin (dB), and (2) the closed-loop phase margin (deg) ans:2
Obtain the transfer function Vo (s) / Vi (s) for the electric circuit given in the figure.You can find the amplitude value of the transfer function at high frequencies of the circuit.If it works, calculate approximately. System-owned transferDraw the Bode diagram of the function.
Which of the following method is used to find the stability of closed loop system without finding the roots of the closed loop system? a-Bode Plot b-Root Locus Method c-Nyquist Stability Criterion d-Routh Hurwitz Criterion
1. a) Using the relationship between the bandwidth and the cutoff frequencies and the relationship between the center frequency and the cutoff frequencies, show that ωc1=−β2+(β2)2+ωo2; ωc2=β2+(β2)2+ωo2. 2. b) Using the expressions for the two cutoff frequencies in terms of the center frequency and the bandwidth given in part (a), show that ωc1=ωo⋅[−12Q+1+(12Q)2],ωc2=ωo.[12Q+1+(12Q)2].
Figure illustrates the asymptotic Bode plot for a bio-potential amplifier. a. Find the transfer function of the system and express it in the standard form.b. Determine the differential equation that relates the output to the input.c. Find frequency response function of the system.d. Find the output v0(t) of the system if the input is vi(t) = 1 + 0.01cos(0.1t) + 0.001cos(10t) + 0.1cos(1000t)
Draw polar plot for the open loop function given. Determine Phase margin, Gain margin, Phase cross over frequency, Gain cross over frequencyG(s) H(S)= 1/s(1+s)(1+2s)
a) from the rootlocus fig , Write the open loop transfer function of the system,b) What is the value of K for critical damped response?c) What is the range of K for stable closed-loop system?d) Determine damping ratio and ( Wn ) of the closed loop system for K=10.e) Sketch the approximate graph of the Bode magnitude of the transfer function (use K=100).
Following is an example of the forward transfer function for a system with unity feedback: Determine the error at steady state for the given inputs, which are as follows: 15u(t) 15tu(t) 15t2u(t)
5, which milks the following conditions. design the Butterworth low-pass filter circuit. Specify the design process step by step. Draw the circuit you designed. Approximate the gain(dB)-frequency graph and mark its key points.a. Take your resistance values as 500 Ω, except for the gain multiple.b. cut frequency take fr as 4 × 1kHz. c. Take the gain value of the filter 4 × 5. Tip: 2. The Butterworth low-pass filter circuit of the order is as shown in Figure 1.

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10* 10 10 Frequency (rad s) 10 10° 10' ady state error due to a unit ramp reference is