Chapter 5, Problem D5.31P

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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BW=1MHZ For Johnson-Nyquist Noise Generator (or Thermal Noise Generator), the device utilizes the thermal noise that naturally arises from the random motion of electrons in resistors at a non-zero temperature. The voltage is arising from thermal noise in two resistors of 80 and 120 Qat Temperature T=290 °k: 1-Write the equations of v(t), 12(t), up on the circuit diagram of series and parallel connecti 2- Apply the equation v(t) to find Vrms for series connection scheme. 3- Find inrms for Series scheme 4- Find the Vrms for series scheme. By using i̟rms √³(+)O v²(t) 80 120 ww R₁ R₂ Gi G if(t) 1/80 1/120