4. Consider the system below. Draw a Bode diagram of the open-loop transfer function, anddetermine the value of the gain K such that the phase margin is 50. What is the gain marginof this system with this gain K?10s + 0.5sts + 1)

Write the open-loop transfer function,

Answered: 4. Consider the system below. Draw a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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A certain op amp has an open-loop dc gain of A0OL=200,000 and an open-loop 3-dB bandwidth of fBOL=5 Hz. Sketch the Bode plot of the open-loop gain magnitude to scale. If this op amp is used in a noninverting amplifier having a closed-loop dc gain of 100, sketch the Bode plot of the closed-loop gain magnitude to scale. Repeat for a closed-loop dc gain of 10.
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With a differential gain of 51,817 and a common-mode gain of 2, what is the common-mode rejection ratio in decibel (dB)? CMRR (dB) = dB
In a control system with unity gain feedback, the transfer function of the loop-gain function -0.1s is L(s)=9e¬U.1S/s. The phase margin of the loop-gain function L(s) is degree.
Aclosed loop unity feedback system with a transfer function H(s) -10/Is(s+2) (s+3) +10] is stable Select one: O a True Ob. False
1) In the amplifier of Figure 1, g--6.667 mS, Ip-0.5 mA, 2- -0.1 V and CL-31.83 pF. Neglect all other capacitances; Obtain the transfer function VeuVin (s). VDD 333M a) VHE M2 Vout Vin Vout VinoEM, CL Figure 1 b) Determine pole and zero frequencies of the transfer function. there タイCし c) Calculate the low frequency gain in dB. Construct the Bode plot of Voul Vin. d) 40 -20 2 34 10 20 10000 100000 100M 100 1000 Frequency (kHz) Magnitude (dB) 20
Control system
With a differential gain of 50,071 and a common-mode gain of 2, what is the common-mode rejection ratio in decibel (dB)? CMRR (dB) = dB Next Previous Quiz saved at 3:24pm Submit C
= b) A three-stage amplifier system operated at T 25°C and 1 MHz bandwidth which is determined by an LC-tuned circuit. The first stage has a power gain of 10dB and an NF of 5dB, the second has a power gain of 20dB and NF=10dB, and the third stage has a power gain of 30dB and NF=10dB. The output load is 2000. The input noise is generated by a 20k resistor. Calculate: i) The noise voltage and power at the input and the output of this system assuming ideal noiseless amplifiers. ii) The overall noise figure for the system. iii) The actual output noise voltage and power.
1. Construct Bode plot for the system whose open-loop transfer function is given below and determine (a) The gain margin, (b) The phase margin. (c) Stability of the closed loop system. G(s) H(s) = 10/s(1+ 0.5s) (1+ 0.1s)
Figure 2 shows the simplified model of a system with a unity feedback open-loop transfer K function of G(s). s(s+5)(s+20) R(s) + G(s) C(s) Figure 2: The simplified model Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures a) b) c) Plot the Bode plot if the system operates with K₁ = 10. Determine the gain margin (GM), phase margin (PM), gain cross over frequency (@gc.) and phase cross over frequency (p). Design a lead compensator to reduce the percent overshoot (%OS) to 10%, while keeping the same steady-state error.

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4. Consider the system below. Draw a Bode diagram of the open-loop transfer function, and determine the value of the gain K such that the phase margin is 50. What is the gain margin of this system with this gain K? 10 s + 0.5 sts + 1)