Re: [SI-LIST] : RE: Split Plane

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From: Doug Brooks (doug@eskimo.com)
Date: Tue May 30 2000 - 13:42:51 PDT


Dennis

Well done!
Except ................
What is magical about defining
B = 1/(2*Pi*RC)
as opposed to defining it any other way?

Doug

**************************************************

At 02:43 PM 5/30/00 -0500, you wrote:
>doug@eskimo.com wrote:
> >
> > My 2 cents worth:
> >
> > I'm not sure there IS a derivation of the .35/Tr=BW equation.
> >
><snip>
>
> R V(c)
> --------/\/\/\---------
> | |
> ---- |
>|u(t)| ---
> ---- --- C
> | |
> -----------------------
> |
> ---
> -
>
>V(c) = 1 - e^(-t/RC)
>
>from which:
>
>t = -RC*ln(1-V(c))
>
>Since:
>
>B = 1/(2*Pi*RC)
>
>we have:
>
>t = (-1/(2*Pi*B))*ln(1-V(c))
>
>Tr = t(0.9) - t(0.1) = (-1/(2*Pi*B))*(ln(0.1) - ln(0.9)
>
>Which, according to my HP32, gives:
>
>Tr = 0.349699152563/B
>
>or:
>
>Tr = 0.35/B
>
>(Close enough for SI work)
>
>Cheers,
>
>Dennis

.
************************************************************
Doug Brooks' book "Electrical Engineering for the Non-Degreed
Engineer" is now available. See our web site for details.
.
Doug Brooks, President doug@eskimo.com
UltraCAD Design, Inc. http://www.ultracad.com

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