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 57P
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Design a problem to make the better understand of integrodifferential equations with a periodic input using Laplace transforms.
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Find the corresponding time function for each of the following Laplace transforms. NEED ONLY NEAT HANDWRITTEN SOLUTION ,OTHERWISE DOWNVOTE.
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Q5. Find out F(s), the Laplace transform of the waveform.
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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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- Appreciate some help with this laplace transforms for the transient analysis of a RC circuit. Thanksarrow_forwardDetermine the Laplace transforms of the following waveforms: (a) an impulse voltage of 8V which starts at time t = 0 (b) an impulse voltage of 8V which starts at time t = 2 s (c) a sinusoidal current of 4A and angular frequency 5 rad/s which starts at time t = 0arrow_forwardLaplace transform is one of the tools to solve systems in AC circuits. Explain how AC circuit elements can be represented in the s domain and how that is useful in simplifying AC circuits.arrow_forward
- 100. Use Laplace Find the current in the circuit below in the time domain when w transform. 22 5 mF 100 cos(or + 45) V 20 mH Hint: You may refer to the Table of Laplace Transforms.arrow_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_forwardQ9. Find the Laplace transform of the following signal which is periodic with period 20. 20 15 20 t -20 *******arrow_forward
- Find the inverse Laplace Transform of the given function. 5/3sarrow_forwardExpress the function below using window and step functions and compute its Laplace transform. 2190 Q 0- 5x 16 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. A. g(t)= (sin 8t)u t-- (sin 8t)u (1-56) OB. 9(t)=11 sin (81) OC, 9(t) = (sin 8t)II 5x (t) + (sin 8t)u t- 0.7 16 salt) 0.16 I OD. g(t)=(cos 8t)u t-- : 8tu (1-556) 16 Compute the Laplace transform of g(t). L(g) = (Type an expression using s as the variable.)arrow_forwardCaleulate the Laplace transform for the following input signal presented in Figure 4. Note: the signal from t=0 to t = lis parabolic 25 2 15 0.5 05 15 25 35 45 5 55 -0.5 -1 15 Figure 4: Input signal as a function of time.arrow_forward
- Answer 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_forwardQl- Determine the Laplace transform and ROC of the following signals: II. x(t) = e5tu(-t + 3) III. x(t) = e-2"u(t) +e-3'u(t) IV. x(t) = e-(t – 3)u(t – 3)arrow_forwardFrom the first order system in the picture kv = 0.5 kp = 1.5 and ka = 4 using laplace transforms derive an expression to show how the output (angular displacement) will vary with time when a step input of 10v is appliedarrow_forward
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