Fundamentals Of Electric Circuits + 1 Semester Access Card
6th Edition
ISBN: 9781259947728
Author: Alexander
Publisher: MCG
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Chapter 15, Problem 4P
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Design a problem to make the better understand of the Laplace transform of different time varying functions.
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Chapter 15 Solutions
Fundamentals Of Electric Circuits + 1 Semester Access Card
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 for: y(s)= (60.3)/(s(s+7.933)(s^2+2.067s+7.6))arrow_forwardUsing the Laplace transform pairs and the Laplace transform theorems, derive the Laplace transform of the time functions: f1(t) = e^−at sin ωt u(t)arrow_forwardDetermine the inverse laplace transform of the following: a. 1/[(s-2)^2 + 9] b. s(s^2 - 9)/(s^2 +9)^2arrow_forward
- Find the inverse laplace transform of 1/s^2+2s+2arrow_forwardLaplace transform is applied to a constant coefficient linear differential equation at time t=0 and y(s) = .... is calculated. Accordingly, which of the following is the solution function y(t)?arrow_forwardUsing the Laplace transform pairs and the Laplace transform theorems, derive the Laplace transform of the time functions: f(t) = (t^3) u(t)arrow_forward
- Use the Laplace transform to find the solution x(t) to the following initial condition differential equations: d) 2x” − x’ = H(t − 1) − H(t − 2), given x(0) = 0, x’(0) = 0arrow_forwardObtain the Laplace Transform of this problem.arrow_forwardThe Transfer Function given below; a) Find the zeros and polarities. b) Indicate whether it is stable or not. c) Find the function y(t) (the inverse Laplace transform).arrow_forward
- Obtain the Laplace transform of the signal u(t)arrow_forwardUsing the Laplace transform pairs and the Laplace transform theorems, derive the Laplace transform of the time functions: f1(t) = e^−at cos ωt u(t)arrow_forwardFind the inverse Laplace transform, f(t) of the function F(s)=6s−32 s>0 t>0arrow_forward
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