Homework Q1: Solve the following difference equation by using Z transform y(k)-3y(k-1)+금y(k - 2) = 2sin) y(-1) = 2, y(-2) = 4 Ans: 13 1 112 96 sin (k) cos 85 Gk): k20 85 Q2: The signal f(k) has Z transform as the following: 27* - 25 +323 + 2z? F(Z) = Z7 + 276 + z5 + z* + 0.5 Compute f(3). Ans: f(3) = 8 Q3: The signal f(t) = 2 – 2cos(2nt) is sampled every T second. What is the Z transform for the sampled signal f(k) at T = 0.1 sec. Q4: Find Z transform for the following sampled signal: ((-1)* S(k) = k = 4,5,6, . elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it: 02 0.4 0.4 02. 02

Homework Q1: Solve the following difference equation by using Z transform y(k)-3y(k-1)+금y(k - 2) = 2sin) y(-1) = 2, y(-2) = 4 Ans: 13 1 112 96 sin (k) cos 85 Gk): k20 85 Q2: The signal f(k) has Z transform as the following: 27* - 25 +323 + 2z? F(Z) = Z7 + 276 + z5 + z* + 0.5 Compute f(3). Ans: f(3) = 8 Q3: The signal f(t) = 2 – 2cos(2nt) is sampled every T second. What is the Z transform for the sampled signal f(k) at T = 0.1 sec. Q4: Find Z transform for the following sampled signal: ((-1)* S(k) = k = 4,5,6, . elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it: 02 0.4 0.4 02. 02

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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Homework Q1: Solve the following difference equation by using Z transform 3 1 mk Y0 ~3y(k=1)+5y(k—2) = 2sin (T) YD =2,y(-2)=4 112 w 96 g5 Sin (Ek) e Ems(— Q2: The signal f(k) has Z transform as the following: Fy o 22437 127 D=2+ +2405 Compute f(3). Ans: f(3)=8 Q3: The signal f(t) = 2 — 2cos(2mt) is sampled every T second. What is the Z transform for the sampled signal f(k) atT = 0.1 sec. Q4: Find Z transform for the following sampled signal: (-1 k=4,56,.. fk) = 0 elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it:
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