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 1P
To determine
Find the Laplace transform of
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Determine the Z Transform for the
following sequence. Sketch the pole-
zero plot and indicate the region of
convergence.
x(n) = 4" cos(n+
)u(-n – 1)
Determine The Currents In The Circuit. There Are No Initial Currents And Charges. USE HEAVISIDE EXPANSION to Evaluate The Inverse Transform.
1. Find z-transforms for the following functions:
a) Éo.5" , use Summation property.
b) 5e" sin(0.3n)
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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- Q1) Find the inverse z-transform f(n) for the following using long division method. 3z2(2z – 4) X(Z) : %3D (z – 2)(z – 0.7)(z – 1)arrow_forwardEvaluate the z-transform and Region of Convergence (ROC) for the following signals. Sketch the ROC, poles and zeros on the z-plane. Show your derivation. (a) 63 8[n–4]arrow_forwardDetermine the currents indicated in the circuit. There is no initial currents and charges in the circuit. Use Heaviside expansion in evaluating the Inverse transform.arrow_forward
- Find the transform z of the sign below and draw the region of convergence. п-1 x[n] = ()" u[n – 4]arrow_forward2. Find the Z transform of the curve shown in the figure. 3. Using the initial and final value theorems, find the initial and final values of the function in the figure in exercise 2 1.8 1.6 1.4 1.2 0.8 0.6 0.4 0.2 5 Muestras (k 10arrow_forwardDraw a block diagram from these Laplace Transform function plz ....arrow_forward
- complete 4- The z-transform converts the ............ equations to ............ equation. Check if the following statements are True (T) or False (F): 1. The z-transform converts the differential equations to algebraic equation. 2. The digital system can be reconstructed using sampler.arrow_forwardDetermine the Z Transform for the following sequence. Sketch the pole-zero plot and indicate the ROC. * x(n) = 4"cos(-n+ ÷)u(-n – 1) 4arrow_forwardWrite down the s plane to z plane mapping function for Bilinear transform. No need to derive. I only need the expression of the function.arrow_forward
- Determine the currents in the circuit. there are no initial currents and charges. Use HEAVISIDE EXPANSION THEOREM in evaluation the inverse transform.arrow_forward2. A commonly used form of the one-dimensional discrete cosine transform is as follows: In this formula, k, the index of the DCT coefficient, runs from 0 to N-1. Which option presents the DCT coefficients of the following sequence (You can write a program or do it manually): 1=(05.207-1414-0210-13 O 1.7000 0.4240.6374 0.4941 1.2021 2.5732 -0.4936 2.329 O 2.7000 -0.4244 -0.6374 0.4941 -1.2021 0.5732 -0.4936 2.329 O 1.7000 0.4244 0.6374 0.4941 -1.2021 0.5732 -0.4936 2.329 O None of the above Code Image pngarrow_forwardFind the z-transform X(z) of the signal x(n). Simplify the answer to only one rational term. Sketch/Draw the region of convergencearrow_forward
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