Chapter 4, Problem 4.17P

Q1/For the unity-feedback system where G (s) = K(s+ 1)(s+ 10) (s+4) (s-6) G Sketch the root locus and find the value of K for which the system is closed-loop stable. Also find the break-in and breakaway points.

12.22 Repeat Problem 12.21, but assume that the switch hadbeen open for a long time and then closed at t = 0. Set the dcsource at 12 mV and the element values at R0 = 5 W, R1 = 10 W,R2 = 20 W, L = 2 H, and C = 0.4 F. question 21(Determine iL(t) in the circuit of Fig. P12.21 for t ≥ 0,given that the switch was opened at t = 0 after it had been closedfor a long time, us = 12 mV, R0 = 5 W, R1 = 10 W, R2 = 20 W,L = 0.2 H, and C = 6 mF.)

In Figure 1, by considering reference located at node 4, the voltage nodes will be: V1=4, V2= -5, V3=0.5 volts. If we change the location of reference to node 3, find the values for V1, V2, V4, ix, Vo, Vx and power produced by the current sources without conducting detailed node or mesh analyses. 10 www 4A ww 44 4Q 802 w + Vo 4Q 2 3 3ix Figure 1 ww 4Q 5 W4 1.50

In the Figure 3 a) Find the values for Vi and ix using nodal analysis. b) Find the produced power by the current source. 50 10Ω www 37A 10Ω 20 5 ix V₁ 200 ix Figure 3 ww 100 + 4V1

2) By series and parallel combinations find the equivalent capacitance for this circuit. ||15€ Cequivalent -66 6f 6E 12F

Q2/For the unity-feedback system where G(s) = K/[s (s+3) (s+ 5)], find the range of gain, K, for stability, instability, and the value of gain for marginal stability. For marginal stability also. Use the Nyquist criterion.

240 Q3/Q1/For the system G(s)= H(s)=1 (s+2)(s+4)(s+5) a. Draw the Bode log-magnitude and phase plots. b. Evaluate gain margin, phase margin, zero dB frequency, and 180° ¿B=2020

In the Figure 2 a) Find the Norton equivalent circuit which supplies power to RL. b) How much is RL,max for transferring maximum power RL? c) If we replace the load with R'L,max = 2 RL,max, calculated in part (b), what will be the voltage at R'L,max? 18V 18A 3Ω ΖΩ 4Q ww ww ww ΘΩ Figure 2 w 5Ω RL

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