Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 4P
To determine
Design a problem to make the better understand of the Laplace transform of different time varying functions.
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Express the function below using window and step functions and compute its Laplace transform.
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5x
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Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Express g(t) using window and step functions. Choose the correct answer below.
A. g(t)= (sin 8t)u t--
(sin 8t)u (1-56)
OB. 9(t)=11
sin (81)
OC, 9(t) = (sin 8t)II
5x (t) + (sin 8t)u t-
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OD. g(t)=(cos 8t)u t--
: 8tu (1-556)
16
Compute the Laplace transform of g(t).
L(g) =
(Type an expression using s as the variable.)
H.W.lefind the laplace transforms ofLthe
Fallowing funchionsa
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What is the purpose of applying the Laplace Transform in electrical circuit analysis?
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
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- Find the inverse Laplace transform of the function using the Heaviside function. Then use that expression to create a piecewise definition for your solution that doesn't use the Heaviside function. F(s) = -2arrow_forwardCan you explain to me the properties of Laplace transform by solving a differential equations as I find it difficult to grasp please step by step with explanation?arrow_forwardCan you solve this Laplace transform please? Thank youarrow_forward
- Question: - Find the Laplace Transform of the four functions? 4- f(t) = t sin(t) e-5t dt %3Darrow_forwardFind the Laplace transform of the following time functions using MATLAB/Symbolic Math Toolbox.arrow_forwardDerive the Laplace transform for the full-rectified waveform fFR (t) in figure 2 belowarrow_forward
- How to find the Laplace transform of this problem steps would be approciated thank you!arrow_forwardSolve a problem showing the application of Laplace transforms in the field of electrical engineering. The problem should be in circuit analysis, transient analysis, control systems, power systems, or other subfields of EE.arrow_forwardWhat is the numerical value of each of the following integrals? ( without using z or Laplace transform)arrow_forward
- I. Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t + 2sint b. cos?t c. (1+ e2t)2 d. sin3t cos3t e. -4t3 + 16t + 9arrow_forwardFind the transforms of the following waveforms a) f(t) = [2+2sin2t – 2cos2t] u(t) b) f(t) = 3[1- e 10] u(t) c) f(t) = -58(t) + 50u(t)arrow_forwardI need help to find the Laplace Transform of just the Integral termarrow_forward
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