ELECTRIC CIRCUITS-W/MASTERINGENGINEERING
11th Edition
ISBN: 9780134894300
Author: NILSSON
Publisher: PEARSON
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Chapter 16, Problem 18P
To determine
Derive the expression for the Fourier series of
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Q1/For the unity-feedback system where G (s)
=
K(s+ 1)(s+ 10)
(s+4) (s-6)
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.
Chapter 16 Solutions
ELECTRIC CIRCUITS-W/MASTERINGENGINEERING
Ch. 16.2 - Objective 1–Be able to calculate the trigonometric...Ch. 16.2 - Prob. 2APCh. 16.3 - Derive the Fourier series for the periodic voltage...Ch. 16.4 - Compute A1 – A5 and θ1 – θ5 for the periodic...Ch. 16.5 - The periodic triangular-wave voltage seen on the...Ch. 16.5 - The periodic square-wave shown on the top is...Ch. 16.6 - a. 16.7 The periodic voltage function in...Ch. 16.8 - Derive the expression for the Fourier coefficients...Ch. 16.8 - Calculate the rms value of the periodic current in...Ch. 16.9 - Prob. 10AP
Ch. 16 - Prob. 1PCh. 16 - Derive the Fourier series for the periodic voltage...Ch. 16 - Find the Fourier series expressions for the...Ch. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 -
Show that for large values of C Eq. 16.24 can be...Ch. 16 - Prob. 28PCh. 16 - Prob. 30PCh. 16 - Prob. 32PCh. 16 - The periodic current shown in Fig. P16.33 is...Ch. 16 - The periodic voltage across a 10 Ω resistor is...Ch. 16 - The triangular-wave voltage source, shown in Fig....Ch. 16 - Prob. 36PCh. 16 -
Find the rms value of the voltage shown in Fig....Ch. 16 - Use the first four nonzero terms in the Fourier...Ch. 16 -
Estimate the rms value of the periodic...Ch. 16 -
Estimate the rms value of the full-wave rectified...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Prob. 45PCh. 16 - Prob. 46PCh. 16 - Prob. 48PCh. 16 - Make an amplitude and phase plot, based on Eq....Ch. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - A periodic function is represented by a Fourier...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Prob. 57P
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- The switch K at Figure 4 is closed at t = 0.2 second. Assuming iL(0) = 0, Find iL(t). 10 Ω w i₁(t) 2ix 20 Ω 2H 10u(t) t = 0.2 s Figure 4 Karrow_forwardThe voltage source in the circuit of Fig. P12.31 is, givenby us(t) = [10+5u(t)] V. Determine iL(t) for t ≥ 0, given thatR1 = 1 W, R2 = 1 W, L = 2 H, and C = 1 F.arrow_forwardDon't use ai to answer I will report you answerarrow_forward
- Determine iL(t) in the circuit of Fig. P12.25, given thatbefore closing the switch uC(0−)=12 V. Also, the element valuesare R = 2 W, L = 1.5 H, and C = 0.5 F.arrow_forwardThe switch in Figure 5 is closed at t = 0 second. Find the voltage of the capacitor, vc, for t> 0. 8Ω t=0 ww + 0.15H + 24U(-t) 80- 2.5mF VC 2A 0.1H Figure 5arrow_forwardQ1/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.arrow_forward
- 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.)arrow_forwardIn 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 1.50arrow_forwardIn 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 + 4V1arrow_forward
- 2) By series and parallel combinations find the equivalent capacitance for this circuit. ||15€ Cequivalent -66 6f 6E 12Farrow_forwardQ2/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.arrow_forward240 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=2020arrow_forward
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