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 22P
(a)
To determine
Find the Laplace transform of the periodic function
(b)
To determine
Find the Laplace transform of the periodic function
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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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- E) F) The convolution of x(t) with y(t) is commutative results in a function that does not have a Laplace Transform is p0a nonlinear operation involves a change from the time domain to the frequency domain. Which of the following can be used t-o replace sin(x) for small values of x? OC 1 1-x 1+x O x-2arrow_forwardFind Laplace transform plzzzarrow_forwardfind the inverse laplace transform, indicating the method used and showing the details.arrow_forward
- Determine the z transform ofthe following n+3 xn) = n3) U (n+3) %3Darrow_forwardF(t)=e-2tsin3t.sint It has been given as. Find the Laplace transform of this function.arrow_forwardQl- Determine the Laplace transform and ROC of the following signals: I. x(t) = e5tu(-t + 3) x(t) = e-2'u(t) +e-3'u(t) x(t) = e-(t – 3)u(t – 3) x(t) = u(t-4) %3D II. %3D III. IV.arrow_forward
- 1.Find the Laplace Transform of the following: a.) t3 e4t b.) e-2t cos4tarrow_forward1) Solve the given differential equation using Laplace transform. x" - 5x' + 6x = 6t - – 4, x(0) = 1, x'(0) = 2 2) A system is described by the following differential equation: d³y d²y dy d³x d²x dx +3 +5 +y= +4 +6 + 8x dt3 dt² dt dt3 dt² dt Find the expression for the transfer function of the system Y(s)/X(s). 3) Obtain the transfer function (s)/V (s) in the network in the network of Fig. 1. 192 ΙΩ V(s) L₁(s) 252 ei S L₂(S) Figure 1 4) Obtain the transfer function Eo(s)/E₁ (s) in the network of Figure 2. R₁ www elle R₂ 525 Figure 2 eoarrow_forwardFind and Sketch the inverse Laplace Transform. 1.) e-3s / s3 show its solution. Ans.: 1/2 (t-3)2 u (t-3)arrow_forward
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