"james" wrote...
First of all, I should point out that I have not seen any messages
posted since my last reply, they will be downloaded as this is sent...
When your mathematics appear to disagree with so many well
qualified engineers, lecturers, heads of educational departments
and technical authors, it's time to check for some little
error... something that can slip through or seem insignificant.
The frequency component of the function, sin(2*PI*f*t),remains the
same in both equation.
It will always appear constant, it is not an absolute value...
f*t
Through a complete cycle, the maximum result will be 1, regardless
of the actual frequency.
The amplitude does not.
Of course not, *you* are using an absolute value.
The waveform is the relationship between changes in amplitude
and time. By putting in an absolute value, peak voltage, you
are now comparing signal levels rather than waveform.
The amplitude should have a maximum value of 1...
quote ref=1
The maximum voltage of a sine is 1, thus Vm is the
maximum or peak value of the alternating voltage.
/quote
Diagrams in the book show exactly that. But, as you may
not have the book collection that I have, check out the
diagram here...
http://upload.wikimedia.org/wikipedi...ine_Cosine_Gra
ph.png/300px-Sine_Cosine_Graph.png
(NOTE: URL wrapped to two lines)
Now,
v = Vm sin 2pi*f*t
= sin 2pi*f*t
So, as said before...
quote ref=2
Amplification This essential process involves an increase
in the amplitude or size of a signal without any change
to the waveform.
/quote
Now I can believe the mathematics that I
have been taught or accept your hypothesis.
Those are the words of well respected and qualified engineers,
lecturers, heads of educational departments and technical
authors.
Regards,
Peter.
http://www.citizensband.radiouk.com/
ref1: Electrical and electronic principles Level 2
I. McKenzie Smith.
(pages 144 - 148)
ref2: Electronics For Engineers.
R. J. Maddock (Former principle lecturer,
Southampton Institute of Higher Education)
D. M. Calcutt (Senior Lecturer, School of Systems
Engineering, University of Portsmouth).
(page 11)