Skip to Main Content
Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
Find the Fourier series of the periodic rectangular pulse train shown in Fig. 13.6-6.
SOLUTION
The DC content of the waveform is . The Fourier series contains only cosine
terms since exponential Fourier series coefficients are real.
τ
T
v
T
vt t
T
t
jn T
n
jn t
T
T
jn t
j
n
j
n
===
111
00
0
2
2
0
2
()ed ed e e
ωω
ωτ ω
ω
00
00
2
2
2
22
0
2
2
τ
τ
τ
ωτ ωτ
ωτ
−=−
ee by Euler's Fo
jn jn
j
n
sin rrmula.
∴= = =
v
T
n
nT
n
n
T
x
x
n
τ
ωτ
ωτ
τ
ωτ
ωτ
τ
2
22
2
0
0
0
0
sin sin
sin
⎝⎝
=,. where x
n
ωτ
0
2
Let v(t) be a periodic waveform with period T and let v
C
(t) be defined as v
C
(t) v(
α
t),
where
α
> 0. Show that v(t) and v
C
(t) have same coefficients in their Fourier series.
SOLUTION
v
C
(t) will be a time-compressed ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Embedded Systems Circuits and Programming

Embedded Systems Circuits and Programming

Julio Sanchez, Maria P. Canton

Publisher Resources

ISBN: 9781299447028