
Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 14.8, Problem 13PP
Design a notch filter based on Fig. 14.47 for ω0 = 20 krad/s, K = 5, and Q = 10. Use R = Ri = 10 kΩ.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q4.
a) A purely derivative controller (i.e. with a zero at the origin only) is defined
by an improper transfer function. Considering its asymptotic behaviour,
explain why a purely derivative controller is difficult to implement in
practice. Relate your explanation to the potential limitations on system
performance.
b) Discuss the potential issues faced by a control system with a large cut-off
frequency. Relate your discussion to the implications on system
performance.
c)
The transfer function of a lag compensator is given by
2
KPID(S) = 2.2++0.2s
S
By using the asymptotic approximation technique:
(i) Obtain the standard form and corner frequency for each individual
component of KPID(S).
(ii) Clearly describe the asymptotic behaviour of each individual
component of KPID(S).
Module Code: EN2058
Q1. a) List the advantages and disadvantages of a closed loop system compared to
an open loop system.
b)
c)
What is the procedure for designing a control system for a bread toaster?
An RC circuit is given in Figure Q1. vi(t) and v(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R1 R2
v₁(t)
R3 C1
vo(t)
R₁ =R2 = 10 k
R3 = 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
(iii) Assuming zero initial conditions, obtain the impulse and ramp responses
of the circuit from the step response derived in (ii). Sketching is not
needed.
Q3.
a)
The frequency response method enables the study of the steady-state
response of a system G(s). What type of inputs are used for frequency
response? If the system is linear and stable, how does the output differ
from the input? Compare the main characteristics of two types frequency
response plots.
b) Consider the control system shown in Figure Q3.
Controller
E(s)
R(s)
Desired
output
C(s)
Plant
G(s)
Y(s)
Actual
output
3(s + 3)
C(s) = k
G(s) =
= s(s - 1)(s + 10)
Figure Q3. Closed-loop system.
(i) Considering definitions in the study of bounded-input bounded-output
stability, is G(s) stable? Classify the poles and zeros of G(s).
(ii) G(s) defined in Figure Q3 is a system completely characterised by
its transfer function. Explain why this is the case.
(iii) Obtain the closed-loop transfer function P(s) = Y(s)/R(s) of the
system.
(iv) Based on your result for the previous question [Question 3b)-(iii)], use
the Routh-Hurwitz stability criterion to determine suitable values of
gain K…
Chapter 14 Solutions
Fundamentals of Electric Circuits
Ch. 14.2 - Obtain the transfer function VoVs of the RL...Ch. 14.2 - Prob. 2PPCh. 14.4 - Draw the Bode plots for the transfer function...Ch. 14.4 - Sketch the Bode plots for H()=50j(j+4)(j+10)2Ch. 14.4 - Construct the Bode plots for H(s)=10s(s2+80s+400)Ch. 14.4 - Obtain the transfer function H() corresponding to...Ch. 14.5 - A series-connected circuit has R = 4 and L = 25...Ch. 14.6 - A parallel resonant circuit has R = 100 k, L = 50...Ch. 14.6 - Calculate the resonant frequency of the circuit in...Ch. 14.7 - For the circuit in Fig. 14.40, obtain the transfer...
Ch. 14.7 - Design a band-pass filter of the form in Fig....Ch. 14.8 - Design a high-pass filter with a high-frequency...Ch. 14.8 - Design a notch filter based on Fig. 14.47 for 0 =...Ch. 14.9 - Prob. 14PPCh. 14.10 - Obtain the frequency response of the circuit in...Ch. 14.10 - Consider the network in Fig. 14.57. Use PSpice to...Ch. 14.12 - For an FM radio receiver, the incoming wave is in...Ch. 14.12 - Repeat Example 14.18 for band-pass filter BP6....Ch. 14.12 - If each speaker in Fig. 14.66 has an 8- resistance...Ch. 14 - Prob. 1RQCh. 14 - On the Bode magnitude plot, the slope of 1/5+j2...Ch. 14 - On the Bode phase plot for 0.5 50, the slope of...Ch. 14 - How much inductance is needed to resonate at 5 kHz...Ch. 14 - The difference between the half-power frequencies...Ch. 14 - Prob. 6RQCh. 14 - Prob. 7RQCh. 14 - Prob. 8RQCh. 14 - What kind of filter can be used to select a signal...Ch. 14 - A voltage source supplies a signal of constant...Ch. 14 - Find the transfer function Io/Ii of the RL circuit...Ch. 14 - Using Fig. 14.69, design a problem to help other...Ch. 14 - For the circuit shown in Fig. 14.70, find H(s) =...Ch. 14 - Find the transfer function H(s) = Vo/Vi of the...Ch. 14 - For the circuit shown in Fig. 14.72, find H(s) =...Ch. 14 - For the circuit shown in Fig. 14.73, find H(s) =...Ch. 14 - Calculate |H()| if HdB equals (a) 0.1 dB (b) 5 dB...Ch. 14 - Design a problem to help other students calculate...Ch. 14 - A ladder network has a voltage gain of...Ch. 14 - Design a problem to help other students better...Ch. 14 - Sketch the Bode plots for H()=0.2(10+j)j(2+j)Ch. 14 - A transfer function is given by...Ch. 14 - Construct the Bode plots for...Ch. 14 - Draw the Bode plots for H()=250(j+1)j(2+10j+25)Ch. 14 - Prob. 15PCh. 14 - Sketch Bode magnitude and phase plots for...Ch. 14 - Sketch the Bode plots for G(s)=s(s+2)2(s+1), s = jCh. 14 - A linear network has this transfer function...Ch. 14 - Sketch the asymptotic Bode plots of the magnitude...Ch. 14 - Design a more complex problem than given in Prob....Ch. 14 - Sketch the magnitude Bode plot for...Ch. 14 - Find the transfer function H() with the Bode...Ch. 14 - The Bode magnitude plot of H() is shown in Fig....Ch. 14 - The magnitude plot in Fig. 14.76 represents the...Ch. 14 - A series RLC network has R = 2 k, L = 40 mH, and C...Ch. 14 - Design a problem to help other students better...Ch. 14 - Design a series RLC resonant circuit with 0 = 40...Ch. 14 - Design a series RLC circuit with B = 20 rad/s and...Ch. 14 - Let vs = 20 cos(at) V in the circuit of Fig....Ch. 14 - A circuit consisting of a coil with inductance 10...Ch. 14 - Design a parallel resonant RLC circuit with 0 =...Ch. 14 - Design a problem to help other students better...Ch. 14 - A parallel resonant circuit with a bandwidth of 40...Ch. 14 - A parallel RLC circuit has R = 100 k, L = 100 mH,...Ch. 14 - A parallel RLC circuit has R = 10 k, L = 100 mH,...Ch. 14 - It is expected that a parallel RLC resonant...Ch. 14 - Rework Prob. 14.25 if the elements are connected...Ch. 14 - Find the resonant frequency of the circuit in Fig....Ch. 14 - For the tank circuit in Fig. 14.79, find the...Ch. 14 - Prob. 40PCh. 14 - Using Fig. 14.80, design a problem to help other...Ch. 14 - For the circuits in Fig. 14.81, find the resonant...Ch. 14 - Calculate the resonant frequency of each of the...Ch. 14 - For the circuit in Fig. 14.83, find: (a) the...Ch. 14 - For the circuit shown in Fig. 14.84. find 0, B,...Ch. 14 - For the network illustrated in Fig. 14.85, find...Ch. 14 - Prob. 47PCh. 14 - Find the transfer function Vo/Vs of the circuit in...Ch. 14 - Design a problem to help other students better...Ch. 14 - Determine what type of filter is in Fig. 14.87....Ch. 14 - Design an RL low-pass filter that uses a 40-mH...Ch. 14 - Design a problem to help other students better...Ch. 14 - Design a series RLC type band-pass filter with...Ch. 14 - Design a passive band-stop filter with 0 = 10...Ch. 14 - Determine the range of frequencies that will be...Ch. 14 - (a) Show that for a band-pass filter,...Ch. 14 - Determine the center frequency and bandwidth of...Ch. 14 - The circuit parameters for a series RLC band-stop...Ch. 14 - Find the bandwidth and center frequency of the...Ch. 14 - Obtain the transfer function of a high-pass filter...Ch. 14 - Find the transfer function for each of the active...Ch. 14 - The filter in Fig. 14.90(b) has a 3-dB cutoff...Ch. 14 - Design an active first-order high-pass filter with...Ch. 14 - Obtain the transfer function of the active filter...Ch. 14 - A high-pass filter is shown in Fig. 14.92. Show...Ch. 14 - A general first-order filter is shown in Fig....Ch. 14 - Design an active low-pass filter with dc gain of...Ch. 14 - Design a problem to help other students better...Ch. 14 - Design the filter in Fig. 14.94 to meet the...Ch. 14 - A second-order active filter known as a...Ch. 14 - Use magnitude and frequency scaling on the circuit...Ch. 14 - Design a problem to help other students better...Ch. 14 - Calculate the values of R, L, and C that will...Ch. 14 - Prob. 74PCh. 14 - In an RLC circuit, R = 20 , L = 4 H, and C = 1 F....Ch. 14 - Given a parallel RLC circuit with R = 5 k, L = 10...Ch. 14 - A series RLC circuit has R = 10 , 0 = 40 rad/s,...Ch. 14 - Redesign the circuit in Fig. 14.85 so that all...Ch. 14 - Refer to the network in Fig. 14.96. (a) Find...Ch. 14 - (a) For the circuit in Fig. 14.97, draw the new...Ch. 14 - The circuit shown in Fig. 14.98 has the impedance...Ch. 14 - Scale the low-pass active filter in Fig. 14.99 so...Ch. 14 - The op amp circuit in Fig. 14.100 is to be...Ch. 14 - Using PSpice or MultiSim, obtain the frequency...Ch. 14 - Use PSpice or MultiSim to obtain the magnitude and...Ch. 14 - Using Fig. 14.103, design a problem to help other...Ch. 14 - In the interval 0.1 f 100 Hz, plot the response...Ch. 14 - Use PSpice or MultiSim to generate the magnitude...Ch. 14 - Obtain the magnitude plot of the response Vo in...Ch. 14 - Obtain the frequency response of the circuit in...Ch. 14 - For the tank circuit of Fig. 14.79, obtain the...Ch. 14 - Using PSpice or MultiSim, plot the magnitude of...Ch. 14 - For the phase shifter circuit shown in Fig....Ch. 14 - For an emergency situation, an engineer needs to...Ch. 14 - A series-tuned antenna circuit consists of a...Ch. 14 - The crossover circuit in Fig. 14.108 is a low-pass...Ch. 14 - The crossover circuit in Fig. 14.109 is a...Ch. 14 - A certain electronic test circuit produced a...Ch. 14 - In an electronic device, a series circuit is...Ch. 14 - In a certain application, a simple RC low-pass...Ch. 14 - In an amplifier circuit, a simple RC high-pass...Ch. 14 - Practical RC filter design should allow for source...Ch. 14 - The RC circuit in Fig. 14.111 is used for a lead...Ch. 14 - A low-quality-factor, double-tuned band-pass...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Please, I want the solution in two ways: Method 1 (without the Smith chart): Method 2 (using the Smith chart): A short circuit stub of length 0.04λ is used to match a 50 Ω lossless line to a load ZL = RL + j30 Ω. Use Smith chart to find:(a) The distance between the stub and the load.(b) The value of RL .arrow_forwardTHE FIRST PAGE OF THIS QUESTION SECTION BELOW IS THE FIRST IMAGE UPLOADED, WHICH SHOWS A digital synchronous sequential circuit and then comes the questions below:1B) Suppose the flip-flops are 74F74 devices and the AND gates are 74F08 devices. Let maxtpd,D=9ns, maxtsu,D=3ns, and maxtpd,AND=6ns. What is the maximum clock frequency at which the circuit can operate reliably? 2) Compare serial transmission and parallel transmission and discuss their advantages and disadvantages. 3) Explain briefly how the slave can protect itself from being overwhelmed by the master in I2 4) A hypothetical logic family has the following specifications. VOH=4.6V VIH=4.0V VOL=0.5V VIL=1.0V IOH=-1mA IIH=50μA IOL=8mA IIL=-0.6mA (4a) What are the noise margins? (4b) What is the fan-out capability?…arrow_forwardTHE FIRST PAGE OF THIS QUESTION SECTION BELOW IS THE FIRST IMAGE UPLOADED, WHICH SHOWS A digital synchronous sequential circuit and then comes the questions below:1B) Suppose the flip-flops are 74F74 devices and the AND gates are 74F08 devices. Let maxtpd,D=9ns, maxtsu,D=3ns, and maxtpd,AND=6ns. What is the maximum clock frequency at which the circuit can operate reliably? 2) Compare serial transmission and parallel transmission and discuss their advantages and disadvantages. 3) Explain briefly how the slave can protect itself from being overwhelmed by the master in I2 4) A hypothetical logic family has the following specifications. VOH=4.6V VIH=4.0V VOL=0.5V VIL=1.0V IOH=-1mA IIH=50μA IOL=8mA IIL=-0.6mA (4a) What are the noise margins? (4b) What is the fan-out capability?…arrow_forward
- I need help on this question a) Find y(t) =yh(t) +yp(t) in time domainIs the system over-damped, under-damped, or critical?arrow_forwardGiven f(t)=a sin(ßt) a = 10 & ß = 23 Find the Laplace Transform using the definition F(s) = ∫f(t)e-stdtarrow_forward= Calculate Avf, Zif, and Zof for the amplifier circuit,Assume he = 50, hie 1.1k2, and identical transistors? 150kQ Vs 5002 HH +25v 10k +6 · 47ΚΩ 47k2 4.7k0} 33 ΚΩ 4.7ΚΩ 10k w 4.7kQ HH Voarrow_forward
- For the four-pole filter in Fig. (2), determine the capacitance values required to produce a critical frequency of 2680 Hz if all the resistors in the RC low-pass circuits are 1.8 K. Also select values for the feedback resistors to get a Butterworth response. Note: For a Butterworth response, the damping factor must be 1.848 for the first stage and 0.765 for the second stage. (2) Re Res ww " = 11arrow_forwardFor the circuit shown in Fig. 2.20, the transistors are identica' and have the following parameters: hje=50, hie = 1.1K, hr =0, and hoe = 0. Calculate Auf, Rif and Rof. Ans: 45.4; 112 KN; 129N. HH 150k 47k R 25 V 10k 47k 4.7k 5μF 33k 4.7k 50µF 50µF 4.7k 4.7k R₁ Roj R1000arrow_forwardA triangular wave is applied to the input of Fig. (3). Determine what the output should be and sketch its waveform in relation to the input. 10μs. 0 5μs 15 μs 0.001 μF R₁ w 2.2karrow_forward
- A three-phase, 480-V, 60-Hz, 6-pole, Y-connected induction motor has its speed controlled by slip power. The circuit parameters are given: Rs=0.06 ohms, Rr=0.05 ohms, Xs=0.2 ohms, Xr=0.3 ohms and Xm=6 ohms. The turn ratio of the rotor to stator winding is n=0.8. The no-load losses of the motor are equal to 150 W. The rotor and stator cupper losses are equal to 249.21 W. The slip power losses are estimated to 8000W. The load torque is 173.61 N.m. at 700 rpm. The efficiency is equal to: Select one: a. 71.5% b. None of these c. 81.5% d. 91.5% Question 2 Consider a 3-phase, 460-V, 100-hp, 0.88 power factor lagging, 4-pole, 1728 RPM, 60 Hz, Y-connected induction motor. The operating slip is equal to: Select one: a. 0.05 b. 0.01 c. 0.04 d. None of these Question 3 A 3 phase, 10 kW, 1750 rpm, Y- connected 460 V, 60 Hz, 4 poles, Y-connected induction motor has the following parameters: Rs = 0.5 Ohms, Rr = 0.3 Ohms, Xs = 0.9 Ohms, Xr = 0.9 Ohms, Xm = 25 Ohms. The no load…arrow_forwardelectric plants do for hand writingarrow_forwardA lighting load of 600 kW and a motor load of 707 kW at 0.707 p.f lagging are supplied by two alternators running in parallel. One machine supplies 900 kW at 0.9 p.f lagging. Find the load sharing and p.f of second machine?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,

Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON

Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning

Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education

Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education

Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON

Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
Why Use Bode Plots? | Understanding Bode Plots, Part 1; Author: MATLAB;https://www.youtube.com/watch?v=F6-EaZobHNk;License: Standard Youtube License