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 10P
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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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- I need help to find the Laplace Transform of just the Integral termarrow_forward⠀ حفظ Laplace Transform H.W Find the Laplace transform of the following 1- 4t sin2t e-t-e-3t 2- t 3- t³ e-3t 4- (t+2)² et 5- e-t( 3 sinh 2t – 5 cosh 2t) 6- 4 cos² 2t 7- e-t sin² t 8- Lf"(t) = tan 9- Sinh2t cos2t 10-e-³t ft sin2t dt 11- [t+√t]² 12- tu(t-2) 13- f(t) an−¹(²), f(0)=2, f'(0)=-1_ find £ f(t) ИМ k 0 2k 3k C HI Lec. Huda I. Aarrow_forwardThe 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_forward
- The Laplace Transform of 4e-3tu(t – 2) is: Select one: a. 4e-2(s+3) s+3 O b. -4e-2s+3 s+2 Ос 4e6e-2s s+3 O d. 5e2(s-3) s-3 O e. 4e-3(s-2) s+2arrow_forwardSolve for Vo(t) using Laplace transform in s - domain. Also draw the s-domain ckt. Show all necessary solutions. Thanks 100 V (+) 10k52 www 5k52 www lok2 + Vo(t) t=0 10 μF 100 ml 2KS2arrow_forwardFind the Laplace transform of the following time functions using MATLAB/Symbolic Math Toolbox. 1. f(t) = 1 2. f(t) = t 3. f(t) = te^-5tarrow_forward
- Find the inverse transform of the given function of s. F(s) = e -3 Sarrow_forwardFind the Laplace transform of x(t) = e-6tu(-t) + e3tu(t) and state its ROC. %3Darrow_forwardThe Inverse Laplace Transform for 1/S-3 is * O t O t^2 O u(t)e^3t O e^-at In a DC circuit, the inductor can be * O replaced with an open circuit replaced with a short circuit O replaced with a current source O replaced with a voltage sourcearrow_forward
- The Laplace transform of the following function is: f(t) = 8u(t-1) + 2u(t − 5) – u(t) - Select one: a. F(s) = §els b. O ○ c. F(s) = F(s) = O d. F(s) = = els es 90/0000100 e - - + / e-8 2 - e+e- ³ + 3/2e - 1 8² e + ²/e-58-1 8 Sarrow_forwardDetermine the Laplace transform of x(t) shown in the following figure, using the definition A. x(t) 1 -1 м t₂ 2 x 10-4 0 ∞ -t3 x (t) est dt t₁ = t₂ = t3 = t4arrow_forwardFind the inverse Laplace Transform for the following F(s) = 3s + 2 3 S³arrow_forward
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