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Peter
Have a nice day. I think there is little more that can be accomplished continuing this banter. You can believe what you wish. james On Sun, 15 Jul 2007 20:23:12 +0100, " Peter" wrote: +++"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) +++ +++ |
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