Fundamentals Of Elec...-connect Access
6th Edition
ISBN: 9781259657023
Author: Matthew;alexander , Charles Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 52P
To determine
Find the time-varying function
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The dynamics of a system is derived from the inverse Laplace transform of X(s) = (s + 3) / (s)(s + 5) , determine the equation that defines X(t)?
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Using the Laplace transform pairs and the Laplace transform theorems, derive the Laplace transform of the time functions:
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Chapter 15 Solutions
Fundamentals Of Elec...-connect Access
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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- Laplace 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_forwardfind the inverse laplace transform for: y(s)= (60.3)/(s(s+7.933)(s^2+2.067s+7.6))arrow_forwardSuppose an LTI system has impulse response h(t)=u(t+1)−u(t−1),and input x(t)=t[u(t−1)−u(t−6)]. Use graphical convolution method to determine the zero-state response. Do not use Laplace transformarrow_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_forwardSuppose for the circuit shown, Idc=24 mA, R=625 Ω, L=25 mH, and C=25 nF. There is no energy stored in the circuit when the switch opens at t=0. 1. Find V(s), the Laplace transform of v(t). 2. Find v(t) by finding the inverse transform of the partial fraction expansion of V(s).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
- The funtion of x is given below by {2, zero<t<5} {0, five<t<10} {e^4t, ten<t} Fnd the laplace transform of the the function of x abovearrow_forwardLet F(s) = [cs/ (s +a) (s + b) , where a=6.8, b= 3, c= 9.1 The inverse Laplace transform of F(s) is f(t) = Xe^-at + Ye^-bt What is the value of X?arrow_forwardA system with an impulse response of h(t) = e(-t/2) is driven by a forcing function x(t)=1-u(t-1). Determine the time domain output response y(t) using: a) Time-domain convolutional integral b) The Laplace transform and the inverse Laplace transformarrow_forward
- Determine the Laplace Transform, F(s), given that f(t) is:arrow_forwardSolve the following differential equations by using Laplace transform method. a) y'' +2y' + y = 4e−t where y(0)= 2 y'(0)= 4 .arrow_forwardFind the inverse Laplace transform, f(t)of the function F(s)=(−2s+4)/(s^2+100) s>0t>0arrow_forward
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