Need help with this question (b)For the unity feedback system shown in Fig. Q4(b), where:K(s+ 2)(s² – 4s + 13)G(s) =R(s)C(s)G(s)Fig. Q4(b)Create a suitable root locus to demonstrate the impact of system gain, Ktowards the system stability. The analysis of root locus must cover thefollowing process:Root locus regionAsymptote point and angles.The break-away and break-in points.The jo-axis crossing.The range of gain, K to keep the system stable.

Answered: (b) For the unity feedback system shown…

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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Consider unity negative feedback applied to the system: G(s) = k/s(s^2+4s+5) (a) Give a complete sketch of the root locus (0 ≤ k ≤ ∞) for this system assuming a unity feedback configuration. Make sure you show all the significant features on your sketch. Give particular attention to the angle of departure from the complex poles. (b) Indicate on your root locus diagram the point at which the damping ratio of the dominant poles is 0.5.
Refer to the circuit shown, where the op amp is assumed to be ideal. Given that Ra=3 kΩ, Rb=5 kΩ, Rc=25 kΩ, va=150 mV, vb=100 mV, vc=250 mV, and VCC=±6 V, specify the range of Rf for which the op amp operates within its linear region.
By plotting the locus-root curve of the open-loop transfer function G(s)= K / s (s+2); a) When K=4, show the locations of the closed loop poles on the root locus. Determine the damping ratio ζ and the natural frequency (wn) values at this gain value. b) Calculate and scale the unit step response of this closed-loop system by calculating the %overshoot, tp and ts (percent overshoot, peak and settling times, respectively). c) In order for this supervised system to work at least in the performance criteria (computed (greater than ζ and wn)) in question (a), scan the region where the pairs of conjugate poles should be located on the root-locus curve.
Given an inverting amplifier having a gain of 40 dB if the feedback capacitor is 10 pFDetermine the input and output Miller capacitance.Please show the complete solution
"A common emiiter amplifier (Fixed Bias) is currently under test to determine its bandwidth in the unloaded case. In the bandpass region ,the amplifier's voltage gain, input impedance, and output impedance are measured to be 32dB, of 100k Ohms, and 3k Ohms, respectively. The designer used input and output coupling capcitors with values of 1uF and 100uF, respectively. The amplifier circuit's PCB layout was properly designed, thus minimizing the wiring capacitances. The device capcitances are measured as follows: C_BE = 1pF, C_BC = 8pF, and C_CE = 1pF. Assuming a voltage source resistance of 50 Ohms, determine the higher cutoff frequency due to the output circuit." 53.05MHz 5.77MHz 3.18MHz 9.72MHz
A common emiiter amplifier (Fixed Bias) is currently under test to determine its bandwidth in the unloaded case. In the bandpass region ,the amplifier's voltage gain, input impedance, and output impedance are measured to be 32dB, of 100k Ohms, and 3k Ohms, respectively. The designer used input and output coupling capcitors with values of 1uF and 100uF, respectively. The amplifier circuit's PCB layout was properly designed, thus minimizing the wiring capacitances. The device capcitances are measured as follows: CBE = 1pF, CBC = 8pF, and CCE = 1pF. Assuming a voltage source resistance of 50 Ohms, determine the higher cutoff frequency due to the input circuit
A common emiiter amplifier (Fixed Bias) is currently under test to determine its bandwidth in the unloaded case. In the bandpass region ,the amplifier's voltage gain, input impedance, and output impedance are measured to be 32dB, of 100k Ohms, and 3k Ohms, respectively. The designer used input and output coupling capcitors with values of 1uF and 100uF, respectively. The amplifier circuit's PCB layout was properly designed, thus minimizing the wiring capacitances. The device capcitances are measured as follows: C_BE = 1pF, C_BC = 8pF, and C_CE = 1pF. Assuming a voltage source resistance of 50 OhmsDetermine the higher cutoff frequency due to the output circuit
The control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. State the advantages of implementing negative feedback in a closed-loop system. Then Write the corresponding differential equation for the transfer function given, Specify the assumption made for the solution.
Electrical Engineering For a unit feedback system having the following gain functions: G(s) Ks - 4.21) s² (2 s +5.7) 2 (1) Draw the root trajectory. (2) Find the value of the gain K in which all three roots are real and have intermediate roots. (3) When it becomes as in (2), find the value of its root. -thanks you very much for the help ~~
Fig. Q2(b) illustrates the electrical network with passive components. The Vi and Vo are the input and output voltage, respectively. i) Derive the transfer function, G(s) = Vo(s) / Vi(s) then design the combination of resistor, R2, and capacitor, C, that can produce the step response with an overshoot of 10% and a settling time 1.5 ms. ii) The capacitor is completely discharged before the step input voltage (Vi) of 10 volts is supplied to the system. Formulate the output function of Vo in the time domain. Then plot the unit step response of Vo(t) in a graph (t from 0 s to 3 ms). Indicate the settling time, peak time, and maximum overshoot in the graph.
Characteristic equation of a closed loop transfer function for a system anyway. Find the region of the K parameter that makes the system stable.
By using mason’s gain formula, find the transfer function C(s)/R4(s) for signal flow graph shown in Fig. (1).

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