Draw a root locus diagram for the following system. Compute the values for any breakaway ints, departure angles, asymptotes, etc, and indicate them on your plot. C(s) K s2 + 28 + 4 +2
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- System Dynamics and Control The characteristic equation of a closed loop system is: s5+s4+2s3+s2+20s+12s5+s4+2s3+s2+20s+12 Use Routh-Hurwitz criteria and determine if the system is stable or not. Complete the Routh array; show all steps of your solution and determine the number of stable and unstable roots.(a) Find the asymptotes and show them in the s-plane. (b) Locate the locus on the real axis. (c) Determine the breakaway and/or re-entry points, if any. (d) Determine the jω-axis crossing points and the corresponding K value. (e) Find the angles of departure from the complex poles. (f) Sketch the root locus.Short Problem: Given a parallel RLC circuit comprised of the following element: 57.81-ohm resistor, ideal inductor with reactance of 65.75 ohms; and a capacitor with reactance of 6.59 ohms. Compute for true power in watts given an ac voltage source of 100 cis 0 volts.
- A closed loop system with G(s) = k / [ (s+3)(s+4)(s+12) ] has its dominant poles placed so the ratio of the imaginary to real parts is -1.423. If the value of the real part is -3.3, what is the angle of the system. Draw the Root Locus showing all important points/dataA resistor of 100 Ω, a coil of 4.50 μH, and a capacitor of 220 pF are in parallel. What is the admittance vector at 6.50 MHz? Provide illustration of the circuit.Find 4-point circular convolution of x[n] = {2, 1, 3, 2} and h[n] = {1, -4, 0, 2}.
- Control System Please include explanation of the choices.. 1) Which pole-zero plots(s) (if any) correspond to a natural frequency ωn greater than 10 rad/sec?Circle all that apply: 1 2 3 4 5 6 none 2) Which pole-zero plots (if any) correspond to a a damping ratio ζ greater than 1/√2 ?Circle all that apply: 1 2 3 4 5 6 noneFor an RC Circuit: a. Using information from the graph, find b. If R= 6982 , calculate C (use the result from Part (a) c. Show, by dimensional analysis, that has units of time.Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the inductor, EL, is 104 V, and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. ETITZ20VAPFER78VIRRPEL104VILXLVARsLL
- Please plot Root Locus for G(S)=[7/S^2]. . please proper hand written Sketch.Other wise ready for Downvote.COURSE: Electrical EngineeringSUBJECT: Electrical ApparatusINSTRUCTIONS:• Write the GIVEN with their respective symbols and units.• Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units• Round up to 3 three decimal places the FINAL ANSWERS and BOX it. PROBLEM:A capacitor in series with a 66 Ω resistor is connected to a 120 V, 60 Hz source. If the impedance of the circuit is 116 Ω, determine the size of the capacitor.Consider the system below. For this question, let C (s) = K, in this question K is a positive real number. a) Prove that if the root locus of the system is drawn, the points s1,2=−0.3214 ± 2.8951j will be on the curve. (Show it by doing mathematical calculation without drawing the curve.) b) Draw the root locus of the system. c) It is desired that the dominant (= near the imaginary axis) poles of the closed loop system be at the points s1,2= −0.3214 ± 2.8951j. What should K be for this? What can be said about the stability of the closed loop system for this K value? d) What are the unit step, ramp and parabolic reference tracking errors of the system for K in the option c?