c) Another periodic waveform is defined by 4t g(t)= 0≤t
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter35: Harmonics 916
Section: Chapter Questions
Problem 2RQ: Which of the following are considered triplen harmonics: 3rd, 6th, 9th, 12th, 15th, and 18 th?
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Transcribed Image Text:c) Another periodic waveform is defined by
4t
g(t)=
0≤t<T/2
T
= 0
T/2≤t<T
with g(t+mT) = g(t) and m is an integer.
Sketch g(t) over three full cycles in the time domain, labelling axes.
d) Show that the complex Fourier coefficients c, of the periodic waveform
g(t) of Q1(c) are given by
e)
Cn
(-1)"-1+(-1)"
(n+0)
n²x²
22
ηπ
Use the complex coefficients derived in Q1(d) to derive the first four (non-
zero) terms of the real Fourier series for g(t).
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