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Principles of Analog Electronics
book

Principles of Analog Electronics

by Giovanni Saggio
January 2014
Intermediate to advanced content levelIntermediate to advanced
567 pages
23h 13m
English
CRC Press
Content preview from Principles of Analog Electronics
Principles of Analog Electronics
16
In the rst of the two equations we substitute
x = ωt + φ
getting cos ωϕ
ωϕ
tRee
jt
+
()
=
+
()
, so multiplying both sides by
F
M
we have
FtFRee
MM
jt
cos ωϕ
ωϕ
+
()
=
+
()
F
M
of the right-hand side can be inserted inside the real part.
The study of the vector
Fe
M
jt
ωϕ
+
()
provides the necessary information (through
the real/imaginary part) about the trend over time on the periodic wave.
In conclusion a general periodic wave
vt
Vt
()
=+
()
0
cos
ωϕ
can be considered the real part of a complex quantity such as

vt Ve Ve eVe
jt
jj
tj
t
()
===
+
()
000
ωϕ
ϕω ω
where VVe
j
00

=
ϕ
is a constant complex number, with magnitude V
0
and phase φ,
whil ...
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Publisher Resources

ISBN: 9781466582026