1X(z)For the conditions in below1– 1.5z-1+0.5z-2• ]z| > 1• Iz| < 0.5• 0.5 < |z| < 1Find the inverse z-transform for each of the following functions:а. X(2)4z2+Z- 0.55z2zb. X(z)(z – 1)?(z – 0.5)20

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X(z) = For the conditions in below || 1- 1.5z-1+0.5z-2 |z| > 1 |z| < 0.5 0.5 < |z| < 1

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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Concept explainers

Thevenin Theorem

Any linear circuit, no matter how complex, maybe simplified to an equivalent circuit utilizing only a single voltage source and series resistance coupled to a load, according to Thevenin's Theorem. The superposition principle says that all foundational equations must be linear, and the notion of "linear" is still the same (i.e., there should not be any exponentials or roots). This is particularly the case when operating with passive elements like resistors, inductors, and capacitors. However, some components (particularly some gaseous and semiconductor devices like tunnel diode, Schottky diode, transistors like BJT, MOSFET) are nonlinear, meaning their current resistance fluctuates with voltage and current. As a result, circuits made up of these parts are known as nonlinear circuits.

Question

1
X(z)
For the conditions in below
1– 1.5z-1+0.5z-2
• ]z| > 1
• Iz| < 0.5
• 0.5 < |z| < 1
Find the inverse z-transform for each of the following functions:
а. X(2)
4z
2+
Z- 0.5
5z
2z
b. X(z)
(z – 1)?
(z – 0.5)
20

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