Electric Circuits, Student Value Edition Format: Unbound (saleable)
11th Edition
ISBN: 9780134747170
Author: NILSSON, James W.^riedel, Susan
Publisher: Prentice Hall
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Chapter 8.4, Problem 7AP
To determine
Find the expression of
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12.8 Obtain the inverse Laplace transform of each of the fol-
lowing functions by first applying the partial-fraction-expansion
method.
(a) Fi(s)
6
=
(s+2)(s+4)
(b) F2(s)
=
(c) F3(s) =
4
(s+1)(s+2)2
3s3 +36s2+131s+144
s(s+4)(s²+6s+9)
2s²+4s-10
(d) F4(s)
=
(s+6)(s+2)²
12.4 Determine the Laplace transform of each of the followingfunctions by applying the properties given in the Tables (a) f1(t) = 4te−2t u(t)(b) f2(t) = 10cos(12t +60◦) u(t)*(c) f3(t) = 12e−3(t−4) u(t −4)(d) f4(t) = 30(e−3t +e3t ) u(t)(e) f5(t) = 16e−2t cos4t u(t)(f) f6(t) = 20te−2t sin4t u(t)
8. Obtain the inverse Laplace transform of each of the followingfunctions by first applying the partial-fraction-expansionmethod.(a) F1(s) =6(s+2)(s+4)(b) F2(s) =4(s+1)(s+2)2(c) F3(s) =3s3 +36s2 +131s+144s(s+4)(s2 +6s+9)(d) F4(s) =2s2 +4s−10(s+6)(s+2)2
Chapter 8 Solutions
Electric Circuits, Student Value Edition Format: Unbound (saleable)
Ch. 8.1 - The resistance and inductance of the circuit in...Ch. 8.2 - Use the integral relationship between iL and v to...Ch. 8.2 - Prob. 3APCh. 8.2 - Prob. 4APCh. 8.2 - Prob. 5APCh. 8.3 - Prob. 6APCh. 8.4 - Prob. 7APCh. 8.4 - Prob. 8APCh. 8.4 - Repeat Assessment Problems 8.7 and 8.8 if the 80 Ω...Ch. 8 - The resistance, inductance, and capacitance in a...
Ch. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - The natural response for the circuit shown in Fig....Ch. 8 - The natural voltage response of the circuit in...Ch. 8 - The voltage response for the circuit in Fig. 8.1...Ch. 8 - Prob. 10PCh. 8 - Design a parallel RLC circuit (see Fig. 8.1) using...Ch. 8 - Prob. 12PCh. 8 - The initial value of the voltage υ in the circuit...Ch. 8 - Prob. 14PCh. 8 - The resistor in the circuit of Fig. P8.14 is...Ch. 8 - Prob. 16PCh. 8 - The switch in the circuit of Fig. P8.17 has been...Ch. 8 - The inductor in the circuit of Fig. P8.17 is...Ch. 8 - The inductor in the circuit of Fig. P8.17 is...Ch. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - The switch in the circuit in Fig. P8.27 has been...Ch. 8 - For the circuit in Fig. P8.27, find υo for t ≥...Ch. 8 - The switch in the circuit in Fig. P8.29 has been...Ch. 8 - There is no energy stored in the circuit in Fig....Ch. 8 - For the circuit in Fig. P8.30, find υo for t ≥...Ch. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Switches 1 and 2 in the circuit in Fig. P8.35 are...Ch. 8 - The switch in the circuit in Fig. P8.36 has been...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - In the circuit in Fig. P8.39, the resistor is...Ch. 8 - The initial energy stored in the 50 nF capacitor...Ch. 8 - Prob. 41PCh. 8 - Find the voltage across the 80 nF capacitor for...Ch. 8 - Design a series RLC circuit (see Fig. 8.3) using...Ch. 8 - Change the resistance for the circuit you designed...Ch. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - The switch in the circuit shown in Fig. P8.48 has...Ch. 8 - Prob. 49PCh. 8 - The initial energy stored in the circuit in Fig....Ch. 8 - The resistor in the circuit shown in Fig. P8.50 is...Ch. 8 - The resistor in the circuit shown in Fig. P8.50 is...Ch. 8 - The two switches in the circuit seen in Fig. P8.53...Ch. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - The circuit parameters in the circuit of Fig....Ch. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Derive the differential equation that relates the...Ch. 8 - The voltage signal of Fig. P8.63(a) is applied to...Ch. 8 - The circuit in Fig. P8.63 (b) is modified by...Ch. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68P
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- 12.12 In the circuit of Fig. P12.12(a), is(t) is given by the waveform shown in Fig. P12.12(b). Determine iL (t) for t≥ 0, given that R₁ = R₂ = 2 2 and L = 4 H. is() R₁ R2: (a) Circuit is(t) 8A- 8e-21 elle (b) is(t) Figure P12.12 Circuit and waveform for Problem 12.12. iLarrow_forward12.12 In the circuit of Fig. P12.12(a), is(t) is given by thewaveform shown in Fig. P12.12(b). Determine iL(t) for t ≥ 0,given that R1 = R2 = 2 W and L = 4 H.arrow_forward12.4 Determine the Laplace transform of each of the following functions by applying the properties given in Tables 12-1 and 12-2 on pages 642-643. (a) fi(t)=4tet u(t) (b) f2(t)=10cos (12t+60°) u(t) *(c) f3(t) = 12e−3(t−4) u(t −4) (d) f4(t) = 30(e³ +e³t) u(t) (e) fs(t)=16e2t cos 4t u(t) (f) f6(t)=20te 2 sin 4t u(t)arrow_forward
- a) Calculate the values of v and i. + 803 1A Va 82 b) Determine the power dissipated in each resistor. 1A Va (a) + I 50 V 0.2 S (b) + D + 1 Α υ€ 20 Ω 50 V 250 ΩΣ ia (c) (d) Copyright ©2015 Pearson Education, All Rights Reservedarrow_forwardExercise 3-12: Find the Thévenin equivalent of the circuit to the left of terminals (a, b) in Fig. E3.12, and then determine the current I. 502 502 0.6 Ω 20 V | + <302 Ω ΣΙΩ b 2025 Ω 15A Figure E3.12arrow_forward2. Consider following feedback system. r(t) e(t) y(t) K G(s) 1 where G(S) = s²+as+b In above, K, a and b are constants. Select the values of K, a and b in a way so that (i) (ii) (iii) the closed loop system is stable, steady-state error of the closed-loop system for step input is 0.2, the closed-loop response has 20% overshoot and 2 seconds as settling time.arrow_forward
- 4. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). But write the answers briefly using your own words with no more than two sentences, and make sure you check whether ChatGPT is giving you the appropriate answers in the context of class. a) What is the advantage of the PI controller over the proportional controller? b) What is the advantage of the PD controller over a proportional controller? c) In the presence of noise, what problem do we face implementing the derivate part of the PID (or PD) controller? To address this, what do we usually use? d) What are the forms of lead compensator and lag compensator? How do these two types of compensators differ?arrow_forward3. Consider the following closed-loop system as shown in the figure. 16 Ge(s) s(s + 4) Suppose Ge(s) is a PID controller with Kp = 1, KD = 2 and K₁ = 3. a) Find the controller transfer function G₁(s). b) Find the open-loop transfer function. c) Find the closed-loop transfer function.arrow_forwardExercise 3-12: Find the Thévenin equivalent of the circuit to the left of terminals (a, b) in Fig. E3.12, and then determine the current I. 502 5 Ω 0.6 Ω a 3Ω ΣΙΩ b 20 V 1 + 2027 15A Figure E3.12arrow_forward
- solve and show workarrow_forwardDon't use ai to answer I will report you answerarrow_forwardvalues. 4. Discussion: DEPA الأمهريائية RING Compare between theoretic bination effect of Kp and KI at first order and second order systems regarding steady-state errors and transient responses with the practical. In Experiment PI Controllerarrow_forward
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