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Re: Non-Linear Coil Winding Experiment. (and more tests!)
---------- Forwarded message ----------
Date: Thu, 16 Oct 1997 19:21:59 -0600
From: terryf-at-verinet-dot-com
To: Tesla List <tesla-at-pupman-dot-com>
Subject: Re: Non-Linear Coil Winding Experiment. (and more tests!)
At 03:21 PM 10/16/97 -0600, you wrote:
>
>
>---------- Forwarded message ----------
>Date: Fri, 17 Oct 1997 08:31:02 +1200
>From: Malcolm Watts <MALCOLM-at-directorate.wnp.ac.nz>
>To: tesla-at-pupman-dot-com
>Subject: Re: Non-Linear Coil Winding Experiment. (and more tests!)
>
>Hi Terry,
>
><SNIP>
>> high Z source the Q (bandwidth) should broaden as you describe but Fo should
>> stay the same. Of course with non-linear coils there may be unknown factors
>> at work, but my results with different resistances did not show anything
>> unusual.
>>
>> Terry
>
>Fo shouldn't stay exactly the same and measurement by myself and
>others show it doesn't. The popular 1/[2PI.SQRT(LC)] formula assumes
>zero resistance. The real formula 1/[2PI.SQRT(LC - R^2/4L^2)] takes
>this resistance into account. The resistance is the Effective Series
>Resistance at the frequency being measured.
>
>Malcolm
>
>
If L=10 mH
C=10 pF
R=50
I get: LC = 10^(-13) R^2 = 2500 4*(L^2) = 0.0004
Fo = 1/[2*pi*SQRT(10^(-13) - 2500/0.0004)] = 0 - 0.00006366i
Can you clarify this equation? It isn't making sense to me.
The R^2/4L^2 part must be different???
Ahhh...... perhaps you meant the frequency of a decaying impulse response of
a coil.
Fo = SQRT(1/LC-(R/2L)^2)/(2*pi) This equation is correct only for an
impulse response (capacitive discharge). My measurements were steady-state
AC. Trying the numbers:
1/(2*pi*SQRT(L*C)) = 503292.546158 Hz
SQRT(1/LC-(R/2L)^2)/(2*pi) = 503292.38888 Hz
A difference of 0.157278 Hz
How would one measure such a subtle difference? Perhaps, I have made an
error or wrong assumption?
Terry