EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119140320
Author: Toussaint
Publisher: VST
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Chapter 2, Problem 2.78P
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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
Chapter 2 Solutions
EBK THE ANALYSIS AND DESIGN OF LINEAR C
Ch. 2 - Prob. 2.1PCh. 2 - The voltage across a particular resistor is 8.60 V...Ch. 2 - You can choose to connect either a 4.7-k resistor...Ch. 2 - A model railroader wants to be able to...Ch. 2 - A 100-k resistor dissipates 50mW. Find the current...Ch. 2 - The conductance of a particular semiconductor...Ch. 2 - In Figure P2—7 the resistor dissipates 25 mW. Find...Ch. 2 - In Figure P2—8 find Rx and the power supplied by...Ch. 2 - A resistor found in the lab has three orange...Ch. 2 - The iv characteristic of a nonlinear resistor is...
Ch. 2 - A 100-k resistor has a power rating of 0.25 W....Ch. 2 - A certain type of film resistor is available with...Ch. 2 - Figure P2—13 shows the circuit symbol for a class...Ch. 2 - A thermistor is a temperature-sensing element...Ch. 2 - In Figure P2-15i2=6A and i3=2A. Find i1 and i4.Ch. 2 - In Figure P2-16 determine which elements are in...Ch. 2 - For the circuit in Figure P2—17: Identify the...Ch. 2 - In Figure P2-17 i2=30mA and i4=20mA. Find i1 and...Ch. 2 - For the circuit in Figure P2—19: Identify the...Ch. 2 - In Figure P2-19 v2=20V,v3=20V, and v4=6V. Find...Ch. 2 - In many circuits the ground is often the metal...Ch. 2 - The circuit in figure P2-22 is organized around...Ch. 2 - Are any of the elements in Figure P2-23 in series...Ch. 2 - Are any of the elements in Figure P2-24 in series...Ch. 2 - Use the passive sign convention to assign voltage...Ch. 2 - If a wire is connected between nodes B and C in...Ch. 2 - The KCL equations for a three-node circuit are as...Ch. 2 - For the circuit in Figure P2—28, write a complete...Ch. 2 - For the circuit in Figure P2—29, write a complete...Ch. 2 - Find vx and ix in Figure P2-30. Compare the...Ch. 2 - A modeler wants to light his model building using...Ch. 2 - Find vx and ix in Figure P2-32.Ch. 2 - In Figure P2-33: Assign a voltage and current...Ch. 2 - Find vO in the circuit of Figure P2-34.Ch. 2 - Find the power provided by the source in Figure...Ch. 2 - Figure P2-36 shows a subcircuit connected to the...Ch. 2 - In Figure P2-37 ix=0.33mA. Find the value of R.Ch. 2 - Figure P2—38 shows a resistor with one terminal...Ch. 2 - Find the equivalent resistant REQ in Figure P2-39.Ch. 2 - Find the equivalent R EQ in Figure P2-40.Ch. 2 - Find the equivalent resistance REQ in Figure...Ch. 2 - Equivalent resistance is defined at a particular...Ch. 2 - Find REQ in Figure P2—43 when the switch is open....Ch. 2 - Find REQ between nodes A and B for each of the...Ch. 2 - Show how the circuit in Figure P2—45 could be...Ch. 2 - In Figure P2-46 find the equivalent resistance...Ch. 2 - In Figure P2-47 find the equivalent resistance...Ch. 2 - Select a value of RL in Figure P2-48 so that...Ch. 2 - Using no more than four 1-k resistors, show how...Ch. 2 - Do a source transformation at terminals A and B...Ch. 2 - For each of the circuits in Figure P2-51, find the...Ch. 2 - In Figure P2-52, the iv characteristic of network...Ch. 2 - Select the value of Rx in Figure P2-53 so that...Ch. 2 - Two 10-k potentiometers (a variable resistor whose...Ch. 2 - Select the value of R in Figure P2-55 so that...Ch. 2 - What is the range of REQ in Figure P2-56?Ch. 2 - Find the equivalent resistance between terminals A...Ch. 2 - Use voltage division in Figure P2-58 to find...Ch. 2 - Use voltage division in Figure P2-59 to obtain an...Ch. 2 - Use current division in Figure P2-60 to find...Ch. 2 - Use current division in Figure P2-61 to find an...Ch. 2 - Find ix,iy, and iz in Figure P2-62.Ch. 2 - Find vO in the circuit of Figure P2-63.Ch. 2 - You wish to drive a 1-k load from your car battery...Ch. 2 - Find the range of values of vo in Figure P2-65.Ch. 2 - Use current division in the circuit of Figure...Ch. 2 - Figure P2-67 shows a voltage bridge circuit, that...Ch. 2 - A Ideally, a voltmeter has infinite internal...Ch. 2 - Select values for R1,R2, and R3 in Figure P2-69 so...Ch. 2 - Select a value of Rx in Figure P2-70 so that...Ch. 2 - Select a value of Rx in Figure P2-71 so that...Ch. 2 - Use circuit reduction to find vx and ix in Figure...Ch. 2 - Use circuit reduction to find vx,ix, and px in...Ch. 2 - Use circuit reduction to find vx and ix in Figure...Ch. 2 - Use circuit reduction to find vx,ix, and px in...Ch. 2 - Use circuit reduction to find vx and ix in Figure...Ch. 2 - Use source transformation to find ix in Figure...Ch. 2 - Select a value for Rx so that ix=0A in Figure...Ch. 2 - Use source transformations in Figure P2-79 to...Ch. 2 - The current through RL in figure P2-80 is 100mA....Ch. 2 - Select Rx so that 50 V is across it in Figure...Ch. 2 - The box in the circuit in Figure P2-82 is a...Ch. 2 - A circuit is found to have the following element...Ch. 2 - Consider the circuit of Figure P2-88. Use MATLAB...Ch. 2 - Nonlinear Device Characteristics The circuit in...Ch. 2 - Prob. 2.92IPCh. 2 - Center Tapped Voltage Divider Figure P2-93 shows a...Ch. 2 - Active Transducer Figure P2-95 shows an active...Ch. 2 - Programmable Voltage Divider Figure P2-97 shows a...Ch. 2 - Analog Voltmeter Design Figure P2-98(a) shows a...Ch. 2 - MATLAB Function for Parallel Equivalent Resistors...
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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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