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 15.3, Problem 7PP
Obtain the initial and the final values of
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Find the poles, zeros and output time response for the following system. The input is
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s3 + 4s2 + 8s + 2
b) G(s) =
$5 + 4s* + 6s3 + 7s2 + 5s + 1
|
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G(s) =
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s4 + s3 + s2 +s + 1
G(s) =
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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- Draw the pole-zero maps for the following systems. Indicate poles using x and zeros using o.G(s)=(S+3)/s2(s-1)(s+5)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_forwardWrite by inspection only the output g(t) in general terms if the input is a unit step of the system below. 400 (s+4)(s+3)(S-2) G(s) = (s+1)(s+2)(s-3)(s+9)(s-10)arrow_forward
- • Consider the following 1st order system K R(s) C(s) Ts +1 1 Therefore, C(s) = K R(s) s*(Ts +1) 3 • Do it yourselfarrow_forwardQ(4): Sketch RL for the system below, and find the value of K that make the system stable: (assume H(S)=1) G(s) · H(s) = N(s) D(s) +17-s+80-s+100arrow_forwardCalculate the poles and zeros of the systems with the following transfer functions. Comment on the stability of each and the expected response characteristics. 1 s + 1 s+ 3 i) G(s) = ii) G(s) = s2 + 5s + 6' s2 + 8s + 20 s² + 4s + 3 s3 + 5s2 + 6s iii) G(s) = iv) G(s) = (s2 + s – 6)(s² + 2s + 10)’ (s2 + 5s + 4)(s² – 6s + 25) Figure Q5 shows a block diagram for a feedback control system. Determine the values of the closed loop poles and hence the stability of the system with the following combinations of controller and plant transfer functions. 1 1 i) k(s) = K(s + 1), K = 1, g(s) = ii) k(s) = K(s + 1), K = 3, g(s) = s2 + s – 2 s2 + s – 2' 1 1 iii) k(s) = Ks, K = 2, g(s) = iv) k(s) = Ks, K = 5, g(s) = s2 – 3s + 2' s2 – 3s + 2 R(s) C(s) k(s) g(s)arrow_forward
- B) The step response for the following closed-loop T.F Y(S) R(S) is shown below. Find the unknown parameters a, b and k 5.16 A 0.8 Awney K s²+as+barrow_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_forwardThe system that has the transfer function G(s) : Underdamped system Undamped System Critically Damped Systems Overdamped System 144 s2+6s+144 isarrow_forward
- Qll sketch the root locus of k(s+1) S²(544) with unity feed back Gcs) Hcs) n Solve by matlabarrow_forwardProblem 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_forwardThe following DT signal x(n) = u(n+2)-u(n-2) is %3D Causal Static Non-Causal O Anti-Causalarrow_forward
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