Answered: 2. Prove the following continuous time…

Engineering

Electrical Engineering

2. Prove the following continuous time Fourier transform relationship. [1 -7

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

Thermistors

A thermistor is a special type of resistor whose resistance is more temperature-dependent than standard resistors. The resistance of the thermistor decreases with increasing temperature. This is the basic principle of thermistors. This allows the thermistor circuit to detect very small temperature changes that cannot be observed with the Resistance temperature detectors (RTDs) or the thermocouples. Since the resistance of a thermistor is temperature dependent, it can be connected to an electrical circuit to measure body temperature. This high sensitivity to temperature changes makes thermistors very useful for accurately controlling and calibrating temperature measurements. In general, resistance increases with increasing temperature in most metals, but thermistors react negatively.

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I would like to ask you the following questions.

2. Prove the following continuous time Fourier transform relationship.
Continuous Time
sin(πί)
-
x(t) =
= sinc(t)
Tt
X () =
0 otherwise
Fourie Transf.

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