Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 8P
(a)
To determine
Find the Laplace transform of the given function
(b)
To determine
Find the Laplace transform of the given function
(c)
To determine
Find the Laplace transform of the given function
(d)
To determine
Find the Laplace transform of the given function
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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 inverse Laplace transform, f(t) of the function F(s) f(t) = Question Help: Vidon ,t> 0 30 84 , S> 0arrow_forwardDetermine the Laplace transform and the associated region of convergence and pole-zero plot for each of the following functions of time (a) x(t) = e-4tu(t) + e e-3tu(-t) (b) x(t) = e-3tu(t) + e−5t sin(2t)u(t)arrow_forward1. Find the Laplace transform for each of the following signals: (a) x(t)=2u(t) + 48(t)-6e-31u(t) (b) x(t)= te 4 cos(t)u(t) (c) x(t) = (e-6 + e-s¹ sin(4t))u(t) -5t (d) x(t) = 2 for 1≤t≤3; x(t) = 0 otherwise (e) x(t) = t for 0arrow_forwardDetermine the Laplace transform of the following signals: (a) cos (3t)u(t) (b) e-10tu(t) (c) e-10 cos(3t)u(t) (d) e 10 cos(3t - 1)u(t)arrow_forwardWhich one of the following represents the Laplace transform of y(t)=2sin(3t), t≥0: 6 O² +9 2 5² +9 25 5² +9 65 5² +9arrow_forward4- If the signals x₁(t) = sin3t u(t), and x₂(t) = u(t), then the Laplace transform of [ 2 x₁(t)-0.7 x₂(t) ] is 6 0.7 6 0.7 s²+9 s+3 S a- S a- 9 " 5- If x(t)= 0.88(t), and h(t)= e b- b- + 3 C- - 0.2 t response of a system respectively, the output Y() is 1 0.8 0.8 jw+0.2 jw+0.2 jw 2 s²+3 0.7 s² u(t) represent input and impulsearrow_forwardThe inverse Laplace transform of the following function is: 6. F(s) = (s+5)4 %3D O a. He-5tu(t-5) Ob Be-5tu(t) 6e-5tsin(t)u(t) | O d. None of the answers 6e-5tcos(t)u(t) e. N agearrow_forwardDetermine the Laplace transform of the following. a) x(t) = 4 sin (100t)u(t) b) x(t) = 2u(t) + 8(t – 4) – cos (5t)u(t)arrow_forwardThe inverse Laplace transform of the following function is: 3e -3s F(s) = s+4 O a. f(t) = 3e 3e-4(0u(t- 3) O b. f(t) = 3e-3(t –4)u(t-4) Ос None of the answers d. f(t) = 3e-4(t +3)u(t+3) O e. f(t) = 3e¬4(t – 3) u (t–3) = 3e-4(t-3)u(t- 3)arrow_forwardCalculate the value of X (2), where the Laplace transform of the following x(t) is X(s). a(t) = 1.7e-" u(t) + 4.4(1 +t)e-*u(t) -2t -3tarrow_forward2. Find the Laplace transform of the following time functions (a) f(t) = 3 cos 6t (b) f(t) = sin 2t + 2 cos 2t + e¯t sin 2t (c) f(t) = t² +e¬2t sin 3tarrow_forwardFind the laplace transform of v4on(t) V1on(t) h(t) = and т(t) i(t) i(t) 10 Ω i(t) 30 V 6u(t) A (4 10 mF 40 Ω 4 Harrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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