Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter A1.2, Problem 4P

(a)

To determine

The Thevenin and Norton equivalent circuit by finding the open circuit value of vL.

(b)

To determine

The value of the short circuit current for the given circuit.

(c)

To determine

The Thevenin equivalent resistance.

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2. A system with unity feedback is shown below. The feed-forward transfer function is G(s), where 5 . G(S) = (+1) Sketch the root locus for the variations in the values of pi. (s+P1)s R(s) C(s) G(s)
3. The following closed-loop systems in Fig. 1 and Fig. 2 operate with a damping ratio of 0.707 (=0.707). The system in Fig. 1 does not have a PI controller, while the one in Fig. 2 does. R(s): S Gain Plant R(s) + E(s) 1 C(s) K (s+1)(s+2)(s+10) Fig. 1: Closed-loop system without PI controller Compensator Plant R(s) + E(s) K(s+0.1) S 1 (s+1)(s+2)(s+10) C(s) Fig. 2: Closed-loop system with a practical PI controller a. Please use Matlab to find the intersection point between line and the root locus of the system in Fig. 1. Then find the K value and one complex closed-loop pole corresponding to the intersection point. Calculate the steady-state error. Show the Matlab code in your answer sheet. b. Please use Matlab to find the intersection point between § line and the root locus of the system in Fig. 2. Then find the K value and one complex closed-loop pole associated with the intersection point. Compare the complex closed-loop pole with the one you just found in task a. Are they very…
1. Please draw the root locus by hand for the following closed-loop system, where G(s) = s+6 = S-2 s+8 s-2' and H(s) = Find the range of K for stability using Method II in Examples 2 and 3 in Lecture 15. Input R(s) Output C(s) KG(s) H(s)
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