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 9RQ
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Choose the correct option to find the inverse Laplace transform of
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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_forwardThe 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_forwardE) F) The convolution of x(t) with y(t) is commutative results in a function that does not have a Laplace Transform is p0a nonlinear operation involves a change from the time domain to the frequency domain. Which of the following can be used t-o replace sin(x) for small values of x? OC 1 1-x 1+x O x-2arrow_forward
- Find the transforms of the following waveforms a) f(t) = [2+2sin2t – 2cos2t] u(t) b) f(t) = 3[1- e 10] u(t) c) f(t) = -58(t) + 50u(t)arrow_forward2. Find the z-transform of the following sequences: a. ak = cos(ak) b. bk = ak sin(bk) c. Ck = cos(ak) + sin(ak)arrow_forwardLaplace transform of 3 t is O 72 / s5 O 12/ s5 O 24 / s4 O 36 / s5 O 18/ s4arrow_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_forwardAnswer All of the Questions Below 1. Find the inverse Laplace Transform of the following function below. i. F(s) = s+ 5 s? + 8s + 65 ix. F(s) = 49 7s + 21 ii. F(s) 5s? + 14s + 2 (s-2)(s+4)? %3D X. F(s) = 3s (s+3)² + 64 iii. F(s) 3s + 4 s? + 16 %3D 2s - 3 2s2 - 8s + 16 xi. F(s) = iv. F(s) = _ 5s² + 14s + 2 (s-2) (s+3)? xii. F(s) =, s? + 12 s (s+1)(s+3) v. F(s) =. s + 5 (s+3) + 9 %3D 10s? + 4 s (s+1)(s+2)² xii. F(s) = vi. F(s) 8s + 2 s? + 3s + 2 xiii. F(s) = 1 s (s? + 6s + 9) vii. F(s) = s? + 3s + 1 (s? + s) xiv. F(s) = 3s + 2 s? + 3s + 2 viii. F(s) 8(s + 2) (s+1)(s+3)(s+5)arrow_forwardF2 3 # Problem 2. Block Diagram Calculate the Laplace transform and then draw the block diagram with ₁ as output for the following equation: F3 54 4 F4 DII Q Search % 5 *₁ + 5x1 = 2x₂ *2 + 4x2 = 2x1 F5 A 6 F6 x₁ (0) = x₁(0) = 0 x₂ (0) = x₂(0) = 0 & 7 PrtScn F8 * 8 Home F9 9 End F10 PgUp,arrow_forward
- 2(s+9) The Inverse Laplace Transform of is: s2+2s+50 Select one: O a. 3.03e-tcos (7t – 48.7)u(t) O b. 3.03e-tsin (7t + 48.7°)u(t) Oc. 6.06e-tcos (7t + 56.3°)u(t) O d. 3.03e-tcos (7t + 48.7°)u(t) O e. 3.03e-tsin (7t – 48.7°)u(t)arrow_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_forwardQ2) Find the inverse Laplace transform of the following functions:- 2х + 1 + s2 – 5s + 4 s + 3 F(s) = s2 + s2 + 6s + 18 - -arrow_forward
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