c) Another periodic waveform is defined by 4t g(t)= 0≤t

Delmar's Standard Textbook Of Electricity
7th Edition
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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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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).
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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