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 6P
To determine
Find the Laplace transform
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Using the Inverse Laplace Transform, what is the following s-domain signal in the time domain?
Vo(s) = 6.773*105/s(21168s+188748)
An LRC-series circuit has the following parameters L = 0.5 h, R =10 omega and C = 0.01 f. The voltage impressed on the circuit is constant E0 = 400V. The charge on the capacitor at time t = 0 is 5C. The current at time t = 0 is zero.
Use the Laplace transform to find q(t), where q(t) is the charge on the capacitor.
Problem 5. Which gives the Laplace transforms of the given time-domain function?
ln [(s + sqrt 2)/(s - sqrt 5)]
ln [(s - sqrt 2)/(s + sqrt 5)]
ln [(s - 2)/(s + 5)]
ln [(s - sqrt 2)(s + sqrt 5)]
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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- Using Laplace, what is the output current i(t) at 0<t<15 given that i(t) at t<0 is 0A?arrow_forwardA discrete time signal is given by: x(n) = [2, 2, 2, 2, 3] Sketch the following signals : x(n) u(n-1)arrow_forward1. What is the Transfer Function of this Differential Equation? 2. Find the solution to the dierential equation in the time domain assuming y (t) = Aest (you are not allowed to use Laplace transforms). Use the initial conditions y (0) = 1/6 , y'(0) = 5, with f (t) = u(t).arrow_forward
- 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)?arrow_forwardThe transfer function of a system is given by H(s) = 1/[s^2(s − 2)]. Find out the impulse response of the system if u(t) is used to denote the unit-step signal.arrow_forwardIf G(s) = 1 / (s + 2), find the response c(t) if the input r(t) = u(t), a unit step, assuming zero initial condition.arrow_forward
- Find the poles and zeros for the s-domain functions in F(s)=80(s+3)s(s+2)2. and F(s)=60(s+5)(s+1)2(s2+6s+25).arrow_forwardProblem 2. Which gives the Laplace transforms of the given time-domain function? -2.5 ln [(s+1)(s+4)] -2.5 ln [(s-1)/(s-4)] -2.5 ln [(s+1)/(s+4)] -2.5 ln [(s+4)/(s+1)]arrow_forwardConsider the following cases where we want to determine different types of responses. (a) The input to a LTI system is x(t)= u(t) − 2u(t − 1) + u(t − 2)and the Laplace transform of the output is given by Y(s) = [(s+2)(1-e^(-s))^2]/[s(s+1)^2]. Determine the impulse response of the system. (b) Without computing the inverse of the Laplace transform X(s) = 1/[s(s^2+2s+10)] corresponding to a causal signal x(t), determine limt→∞x(t). (c) The Laplace transform of the output of a LTI system is Z(s) = 1/[s((s+2)^2+1)], what would be the steady-state response zss(t)? (d) The Laplace transform of the output of a LTI system is W(s) = e^(-s)/[s((s-2)^2+1)], how would you determine if there is a steady state or not? Explain. (e) The Laplace transform of the output of a LTI system is V(s) = (s+1)/[s((s+1)^2+1)]. Determine the steady state and the transient responses corresponding to V(s).arrow_forward
- y'' + 4y' + 5y = δ(t-1), y(0) = 0, y'(0) = 3 Given the IVP, use Laplace transforms to determine the transfer function Q(s) by setting the initial conditions to zero and making the delta function fire at t = 0 with unit magnitude.arrow_forwardDetermine the inverse laplace transform of the following: a. 1/[(s-2)^2 + 9] b. s(s^2 - 9)/(s^2 +9)^2arrow_forwardFind the Inverse Laplace transform of s^2+2.arrow_forward
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