Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 92P
Use analysis to find
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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
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(a) Fi(s)
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=
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(d) F4(s)
=
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Chapter 3 Solutions
Basic Engineering Circuit Analysis
Ch. 3 - Use nodal analysis to find V1 in the circuit in...Ch. 3 - Find both Io and Vo in the network in Fig. P3.2...Ch. 3 - Find I1 in the network in Fig. P3.3.Ch. 3 - Find I1 in the circuit in Fig. P3.4.Ch. 3 - Use nodal analysis to find V1 in the circuit in...Ch. 3 - Find V1 and V2 in the circuit in Fig. P3.6 using...Ch. 3 - Use nodal analysis to find both V1 and Vo in the...Ch. 3 - Write the node equations for the circuit in Fig....Ch. 3 - Find Vo in the network in Fig. P3.9.Ch. 3 - Find Io in the circuit in Fig. P3.10 using nodal...
Ch. 3 - Use nodal analysis to find Io in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.13 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.15 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.19 using...Ch. 3 - Find Vo in the network in Fig. P3.20 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.21 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.22 using nodal...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to solve for the node voltages...Ch. 3 - Find Vo in the network in Fig. P3.27 using nodal...Ch. 3 - Find Io in the network in Fig. P3.28 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.30 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.31 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Using analysis, find Vo in the network in Fig....Ch. 3 - Find Vo in the network in Fig. P3.34 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.35 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.36 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.38 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.39 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.41.Ch. 3 - Find I0 in the network in Fig. P3.42 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.43 using nodal...Ch. 3 - Find Io in the network in Fig. P3.44 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.45 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.46 using nodal...Ch. 3 - Find Io in the network in Fig. P3.47 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.49 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.50 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.51.Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Determine Vo in the network in Fig. P3.53 using...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. B3.56 using nodal...Ch. 3 - Use nodal analysis to solve for IA in the network...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Determine Vo in the network in Fig. P3.60 using...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Find Io in the network in Fig. P3.65 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.66 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.67 using mesh...Ch. 3 - Find Io in the circuit in Fig. P3.68 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. P3.70 using mesh...Ch. 3 - Use mesh analysis to find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.72.Ch. 3 - Find Vo in the circuit in Fig. P3.73 using mesh...Ch. 3 - Find Vo in Fig. P3.74 using mesh analysis.Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Find Io in Fig. P3.76 using mesh analysis.Ch. 3 - Find Vo in the network in Fig. P3.77 using loop...Ch. 3 - Find Io in the circuit in Fig. P3.78 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.79 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Use mesh analysis to find Io in the network in...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Use loop analysis to calculate the power supplied...Ch. 3 - Use loop analysis to find Io and I1 in the network...Ch. 3 - Find Vo in the network in Fig. P3.85 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.86 using...Ch. 3 - Find Io in network in Fig. P3.87 using loop...Ch. 3 - Find Io in the network in Fig. P3.88 using loop...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.91 using mesh...Ch. 3 - Use analysis to find Io in the network in Fig....Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Find the mesh currents in the network in Fig....Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.97 using loop...Ch. 3 - Find Io in the network in Fig. P3.98 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.99 using loop...Ch. 3 - Use nodal analysis to find Vo in Fig. P3.100.Ch. 3 - Find Vo in the circuit in Fig. P3.101 using nodal...Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Find Vo in the network in Fig. P3.104 using nodal...Ch. 3 - Find the power supplied by the 2-A current source...Ch. 3 - Find Io in the network in Fig. P3.106 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.107 using loop...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Using mesh analysis, find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.110 using nodal...Ch. 3 - Find Vx in the circuit in Fig. P3.111.Ch. 3 - Find Io in the circuit in Fig. P3.112.Ch. 3 - Write mesh equations for the circuit in Fig....Ch. 3 - Find Ix in the circuit in Fig. P3.114 using loop...Ch. 3 - Solve for the mesh currents defined in the circuit...Ch. 3 - Solve for the assigned mesh currents in the...Ch. 3 - Using the assigned mesh currents shown in Fig....Ch. 3 - Find Vo in the network in Fig. B3.118.Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Io in the network in...Ch. 3 - Use analysis to find Io in the circuit in Fig....Ch. 3 - Find Vo in the circuit in Fig. P3.125 using loop...Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Use mesh analysis to determine the power delivered...Ch. 3 - Use mesh analysis to find the power delivered by...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.130 using nodal...Ch. 3 - Find Vo in the circuit in Fig. 3PFE-l. a. 3.33 Vc....Ch. 3 - Determine the power dissipated in the 6-ohm...Ch. 3 - Find the current Ix in the 4-ohm resistor in the...Ch. 3 - Determine the voltage Vo in the circuit in Fig....Ch. 3 - What is the voltage V1 in the circuit in Fig....
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- 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)arrow_forward8. 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)2arrow_forward12.12 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_forward
- 12.12 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_forwarda) 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_forward
- Exercise 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_forward4. 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_forward
- 3. 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_forwardsolve and show workarrow_forward
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