FUND.OF ELECTRIC CIRCUITS>CUSTOM<
6th Edition
ISBN: 9781307184631
Author: Alexander
Publisher: MCG/CREATE
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Chapter 15, Problem 21P
To determine
Calculate the Laplace transform of the periodic waveform
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Solve the Fourier Transform of the following signals.
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Find the Fourier transform of each of the following functions. In allof the functions, a is a positive real constant and −∞≤t≤∞.
f(t)=t3e-a|t|;
Chapter 15 Solutions
FUND.OF ELECTRIC CIRCUITS>CUSTOM<
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 Fourier transform of the signal below. Show the details of your work. Write your answer on a white typewriting paper, scan it in JPEG format, and paste it into the space provided below. f(t) = 5 cos2(1000πt) u(t)arrow_forwardprove the following Fourier transform f^(n)(t) and which of the following systems is a "causal system"?arrow_forwardShow that the Laplacian of a continuous function f(t,z) of continuous variables t and z satisfies the following Fourier transform pairarrow_forward
- Find the Fourier Transform of the signal f(t) = sin(ut), where a, B, and μ are positive real constants. +B Please, show all work and refer to the Fourier Transform properties used in the solution.arrow_forwardDetermine the Fourier Transform and Laplace Transform of the signal given below. x(t) = e3t u(t)arrow_forwardFind the Fourier transform of the signal below. Show the details of your work. Write your answer on a white typewriting paper, scan it in JPEG format, and paste it into the space provided below. f(t) = 10 [u(t + 2) – u(t + 1) – u(t) – u(t – 1)]arrow_forward
- 1. Use the Fourier transform method to find vo(t) in the circuit shown. The initial value of vo(t) is zero, and the source voltage is 100u(t) V.2. Sketch vo(t) versus t.arrow_forward1. Use the Fourier transform to find io in the circuit if ig equals 3e-5|t| A.2. Find io(0-).3. Find io(0+).4. Use the Laplace transform method to find io for t≥0.5. Does the solution obtained in (d) agree with io for t>0+ from (a)?arrow_forwardCount some differences between Laplace transform and Fourier Transformarrow_forward
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