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
Videos
Textbook Question
Chapter 15.5, Problem 12PP
Graphically convolve the two functions in Fig. 15.14. To show how powerful working in the s-domain is, verify your answer by performing the equivalent operation in the s-domain.
Figure 15.14
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Draw to Implement the function F (X, Y, Z) = ∑ m (0,3,4,5) using 4-to-1 MUX,
Transfer function ? (?) = (? − 6) (? + 15) (? + 3 + 4?) (? + 3−4?) (? + 9)Examine the stability of the system by showing the dominant pole / poles of a system, the zeros and poles of the system on the coordinate system.
a)
Y(ω) = 1/(5+jω)
The expression above defines the frequency domain signal Y(ω) from a time domain signal y(t)
i) Determine the imaginary & real parts of Y(ω).
ii.Determine the signal y(t) that produced the signal Y(ω).
b)What are the 3 areas of application of
i.Signals
ii.Systems
c) Briefly summarise with explanation the difference between discrete & continuous time signal and also write an expression that describes each signal type.
Chapter 15 Solutions
Fundamentals of Electric Circuits
Ch. 15.2 - Prob. 1PPCh. 15.2 - Prob. 2PPCh. 15.3 - Prob. 3PPCh. 15.3 - Prob. 4PPCh. 15.3 - Prob. 5PPCh. 15.3 - Prob. 6PPCh. 15.3 - Obtain the initial and the final values of...Ch. 15.4 - Prob. 8PPCh. 15.4 - Find f(t) if F(s)=48(s+2)(s+1)(s+3)(s+4)Ch. 15.4 - Obtain g(t) if G(s)=s3+2s+6s(s+1)2(s+3)
Ch. 15.4 - Find g(t) given that G(s)=20(s+1)(s2+4s+13)Ch. 15.5 - Graphically convolve the two functions in Fig....Ch. 15.5 - Given g(t) and f(t) in Fig. 15.20, graphically...Ch. 15.5 - Use convolution to find vo(t) in the circuit of...Ch. 15.6 - Prob. 15PPCh. 15.6 - Prob. 16PPCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - If F(s) = 1/(s + 2), then f(t) is (a) e2t u(t) (b)...Ch. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Find F(s) if: (a) ft=6etcosh2t (b) ft=3te2tsinh4t...Ch. 15 - If g(t) = 4e 2t cos 4t, find G(s).Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Design a problem to help other students better...Ch. 15 - Let F(s)=18(s+1)(s+2)(s+3) (a) Use the initial and...Ch. 15 - Determine the initial and final values of f(t), if...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Find f(t) for each F(s): (a) 10ss+1s+2s+3 (b)...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Obtain f(t) for the following transforms: (a)...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Determine f(t) if: (a)...Ch. 15 - Show that...Ch. 15 - Prob. 41PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Given h(t) = 4e2tu(t) and x(t) = (t) 2e 2tu(t),...Ch. 15 - Given the following functions...Ch. 15 - A system has the transfer function...Ch. 15 - Find f(t) using convolution given that: (a)...Ch. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Given that v(0) = 5 and dv(0)/dt = 10, solve...Ch. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 55PCh. 15 - Solve for v(t) in the integrodifferential equation...Ch. 15 - Prob. 57PCh. 15 - Given that dvdt+2v+50tv()d=4u(t) with v(0) = 1,...Ch. 15 - Solve the integrodifferential equation...Ch. 15 - Prob. 60P
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
- Transfer function ? (?) =96 (? + 5) (? + 12)(? − 1) (? + 8) (? + 6)Find the unit impulse response of a system.By showing the zeros and poles of the system on the coordinate system, you can determine the stability of the system.arrow_forwardTransfer function ? (?) = 2/1 + 2 ∗ 0.5?-1 + 0.52 ?-2, steady state response for unit step function input… ..arrow_forwardFind the transfer function of the given electrical system below from the state equation. Assume v(t) be the input of the system and the voltage across C be the output of the system. Let X1 be the current flowing on L1, X2 be the voltage across C and X3 be the current flowing on L2.arrow_forward
- A plant has the transfer function given by G(s)=1(s2+3s+1)(s2+7s+1)G(s)=1(s2+3s+1)(s2+7s+1) and is controlled by a proportional controller Gc(s)=KGc(s)=K as shown in the block diagram in Figure. For a stable system, calculate the value of KK that yields a steady-state error E(s)=Y(s)−R(s)E(s)=Y(s)−R(s) with a magnitude less than 0.010.01 for a unit step input.arrow_forwardplease Draw ro Implement the function F (X, Y, Z) = ∑ m (0,3,4,5) using 4-to-1 MUX,arrow_forwardFor a CT system, given the following set of poles and zeros. poles: sp1=-0.5, sp2=1, sp3=-0.7+j2. Zeros: s1=-2, s2=-0.5. (a) Draw the pole-zero diagram. (b) Does the system stable or not? Justify (c) Find the transfer function H(s) in a rational form.arrow_forward
- The input output relation for a discrete time system is expressed by the following difference equation: y(n)=ax(n)+bx(n-1)+cx(n-2)+dy(n-1)+ey(n-2) where a,b,c,d,e are non zero coefficients. Find out the two intermediate transfer functions if the system is to be realised by direct form 1.arrow_forwardThe differential equations below represent systems where x is the input and y is the output. Determine a) the transfer function of the given systems, b) whether the following systems are stable, or unstable, and c) the number of roots with positive real partarrow_forwardA DSP system is described by the following differential equation with zero initialcondition:y(n)+0.1y(n-1)-0.2y(n-2) =x(n)+x(n-1)a. Determine the impulse response y(n) due to the impulse sequence x(n) = (n).b. Determine system response y(n) due to the unit step function excitation, where u(n)= 1 for n 0.arrow_forward
- Using exactly seven (7) two-way MUX, implement the following function. f(w, x, y, z) = Σm(0, 1, 3, 7, 11, 13, 15arrow_forwardLet x (t) be the input to an LTI (linear and time invariant) system with unit impulse response x(t)=h (t), as shown in the graph, find system outputarrow_forwardFor a DA converter, the LRC circuit chosen has inductance L= 10 H , resistance R= 10 ohms and inductance C= 0.2 F . The input digital signal is a power surge (impulse) of magnitude 100 V lasting an instant at t = a . Use your notes to model the second order differential equation in terms of the charge q suited to this application. Simplify the equation with the coefficient of q'' as 1. Use the Laplace transform and calculate the (general) output voltage vo if vo = 1/C q . Your solution will be in terms of a . Use the initial conditions q(0)=0 and q'(0)=0 . Do not use Matlab as its solution will not be identifiable in the solution entry. You must indicate in your solution:1. The simplified differential equation in terms of the charge q you will be solving2. The simplified Laplace transform of this equation where you have made L{q} subject of the equation3. The partial fractions process if required4. The completing the square process if required5. Express the solution q as a piecewise…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:PEARSON
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning
Programmable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill Education
Electric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSON
Engineering 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,
ECE320 Lecture1-3c: Steady-State Error, System Type; Author: Rose-Hulman Online;https://www.youtube.com/watch?v=hG7dq-51AAg;License: Standard Youtube License