The oscillator circuit shown in the figure below has a positive feedback transfer function of sRL B (s) = %3D s L²+35RL+R a) Derive an expression for the loop gain, L(s) = A(s) B(s). %3! b) Apply the Barkhausen criterion to find the frequency of oscillation, wo, and the condition of oscillation. c) If L = 1 mH, find the value of R to obtain a frequency of oscillation of 10 kHz. %3! R2 R1 Vo V1 7. R I B(s) Enter the value of R in ohms below:

The oscillator circuit shown in the figure below has a positive feedback transfer function of sRL B (s) = %3D s L²+35RL+R a) Derive an expression for the loop gain, L(s) = A(s) B(s). %3! b) Apply the Barkhausen criterion to find the frequency of oscillation, wo, and the condition of oscillation. c) If L = 1 mH, find the value of R to obtain a frequency of oscillation of 10 kHz. %3! R2 R1 Vo V1 7. R I B(s) Enter the value of R in ohms below:

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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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.
Since G(s) is the transfer function of the system, draw the root locus of the closed-loop system with negative unit feedback below, clearly stating each step. (Root locus plots drawn using any program such as Matlab etc. will not be considered)
Figure 3.1 shows a spring mass motion with a unity feedback with . (i) Sketch the Bode diagram for the system shown in Figure 3.1 onto the provided graph paper for both magnitude and phase plots. (ii) Determine the gain margin and phase margin of the system. (iii) Discuss the stability of the system from bode plot sketch. (iv) Obtain the closed-loop transfer function of spring mass motion system. (v) Sketch the location of poles and zeros of the closed-loop system on s-plane. (vi) Sketch the expected output response of the closed-loop system in time domain if . (vii) Discuss the relation between the response in frequency domain and time domain.
The unit in the figure below is given as G (s) in feedback system. When a unit ramp is applied to the input of the system, the steady-state error is 0.4% and when the unit step is applied to the input, the settlement time is desired to be 50 ms. So which of the following is a pole value of the closed-loop transfer function? G(s)=k/s(s+a)
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