Re: Non-Linear Coil Winding Experiment. (and more tests!)

To: tesla-at-pupman-dot-com
Subject: Re: Non-Linear Coil Winding Experiment. (and more tests!)
From: Tesla List <mod1-at-pupman-dot-com>
Date: Fri, 17 Oct 1997 21:15:01 -0600 (MDT)
Approved: mod1-at-poodle.pupman-dot-com

---------- Forwarded message ----------
Date: Fri, 17 Oct 1997 07:48:01 -0700
From: Jim Lux <jimlux-at-earthlink-dot-net>
To: Tesla List <tesla-at-pupman-dot-com>
Subject: Re: Non-Linear Coil Winding Experiment. (and more tests!)   

> 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).  

Nope, the original author is correct.  The resonant frequency of a loaded
tuned circuit is in fact sqrt(1/LC-(R/2L)**2).  This is part of the
solution of the differential equation for the circuit.  In fact, the
voltage (or current) has a damped sinusoid appearance when the circuit is
hit by a transient (impulse or step).