Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 15.4, Problem 9PP
Find f(t) if
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Find f(t) for each of the following functions.
1. F(s)=320s2(s+8).
2. F(s)=80(s+3)s(s+2)2.
3. F(s)=60(s+5)(s+1)2(s2+6s+25).
4. F(s)=25(s+4)2s2(s+5)2.
A continuous time LTI system responses s(t) to step function. Determine the output y(t) to the input
x(t) = u(t-1)-u(t - 2)
s(t) = e-²t u(t)
Find the Root locus :
C(s)
R(s) (S – 1)(s² + 4s – 7)
K
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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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- Find the initial value and final values of the following function 12(s+1) s(s+2)? (s+3) F(s)arrow_forwardFind 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_forward(4) A - draw the following unit step function and Evaluate it at a 3s f (t) u (t + 1) - ut - 1) + ut + 2) - ut - 4)arrow_forward
- Q9) Given x(t)=u(t-2)-u(t-6) and h(t) = e-2tu(t) a)Find y(t) dx(t) b)Let g(t)=" h(t) means convolution dt find and draw g(t)arrow_forwardFind f(t) if 6s² + 26s + 26 F(s) = (s + 1)(s + 2)(s + 3)'arrow_forward10(s – 2) s(s? + 4s + 5) For the step response C(s) find initial and final value of C(s).arrow_forward
- Find f(f) if 40 F(s) = (s2 + 4s + 5)2"arrow_forwardFind the unit step response of the system modeled by the following transfer function #11 H()=+2015 Select one: Os(t)= u(t)-2.3e 'cos(2t -85.3") Onone of these Os(t)=0.2u(t) + 2.68e' cos(t + 50.4°) Os(t)= 0.2u(t) + 0.446e 'cos(2t - 116.5")arrow_forwardSOLVE THE ROOT LOUCS (s + 1)(s + 2) (s + 7)(s+4) G(s)H(s)arrow_forward
- Problem 4: Use Initial value theorem and final value theorem to find f(0) and f() for the following rational functions 1. F(s) = 25+5 s245S+6 25+5 2. F(s) = 5S+6arrow_forward14. The unit step response of an LTI system is given by g(t) = u(t) - 10u(t)e-t. Thus, the transfer function of the system is 10 A. H(s) = s+1 S-9 B. H(s): = C. H(s) = D. H(s) = s+1 1-95 s+1 1-9s s(s+1)arrow_forwardFind the Root locus : C(s) (K(S+ 2)(S + 3) S(S + 1) %3D R(s) Find the Root locus : C(s) R(s) (S – 1)(s² + 4s – 7) K Find the Root locus : (S + 2) (s2 + 6s + 10) G(s)arrow_forward
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