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 3RQ
To determine
Choose the correct option to find the Laplace transform of
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Find the Laplace Transform of the following functions
6) f(t) = e2" cos(t)
Ans. F(s) =
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u(t) represent input and impulse
Determine y(t) such that y(t) = x(t) * h(t) for the signals shown in the figure.
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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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- The inverse Laplace transform of the following function is: F(s)= s-3 O a. f(t) = 5e-3tu(t) O b. None of the answers O c. f(t) = 5e³u(t) С. d. f(t) = 5e3su(t) = 5e3$u(t) O e. f(t) = 5e-38u(t)arrow_forwardFind the value of x(t) for t= 0, if it has the Laplace transform: O 8 00 8 1 X (s) (s+ 4) (s+2) s³ +2s² + sarrow_forwardThe inverse Laplace transform of the following function is: F(s) = (s+4)2 O a. (e)t O b. None of the answers O c. (e-4t)t-1 O d. (et)t+2 O e. (e-4t+2)tarrow_forward
- Calculate 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_forwardThe Inverse Laplace transform of F(s) = Select one: O f(t)=[0.5-0.5e-4(t-3) ]u(t-3) O f(t) = (0.5-0.5e-4(+3)]u(t+3) O f(t) = [0.5-0.5e4(+3) Ju(t+3) O f(t) = [1-e-4(+3)]u(t+3) 2e³ 8(8-+-4) is:arrow_forwardThe Inverse Laplace Transform of 4(s+5) is: s2 +2s+10 Select one: Оа. 6.64е "cоs (3t - 53')u(t) O b. 6.64e-tsin (3t – 53°)u(t) 6.64e-tcos (3t + 53°)u(t) O d. 2.64e-t cos (3t + 13°)u(t) O e. 6.64e-tsin (3t + 53°)u(t)arrow_forward
- Problem 4 Compute the Laplace transform of v(t), when dv(t) a) + 6v (t) = 4u(t), v(0-) = - 3V dt dv(t) b) 4 dt + 12v(t) = 16 cos(3t), v(0-) = 2V dv(t) v(t) + 4. + 3v(t) = 5e-2t, v(0-) = -2V," (0) = 2V/s %3! dt2 dt dtarrow_forwardFind the Laplace transform of the following signals (assume t > 0"): a) v(t) = -7u(t), where u(t) is a step function b) v(t) = 8e-5t, c) v(t) = (10e-1 d) v(t) = e-2t + 4t – u(t) e) v(t) = 2u(t) + 2 sin(2t) – 2 cos(2t) -1000t – 5)u(t) -arrow_forwardQ13 The Laplace Transform of f(t) = e²"sin (5t) u (t) is (B) 5 (A) s – 4s+ 29 s+5 5 8 - 2 (C) 2 – 4s+ 29 (D) s+5 -arrow_forward
- Find the Inverse Laplace Transform of the following: 4. F(s) = 5. F(s) = 1 √2s+3 e4-3s (s+4)5/2arrow_forwardGiven f(t) and g(t) as shown below: Q. The Laplace transform of g(t) is f(t) 1 0 O O O O 2 t (0³8 1 ²/ (e-5s S e - 3s – e³s) S - e-³s) -(1-e-2s) 1 ²(e² - e²) 5s S g(t) 1 3 5arrow_forwardThe Laplace transform of the following function is: f(t) = e-5tr(t) + 2sin(3t)u(t) Select one: O ○ F(s) = O F(s): = F(s) = 5 (8+5)² 1 (s+5)² 1 (s+5)² 1 F(s) = (s+5) ² + + + + 6 s²+9 2 s²+9 6 s²+9 3 s²+9arrow_forward
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