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

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From: Dennis Tomlinson ([email protected])
Date: Tue May 30 2000 - 12:43:28 PDT

[email protected] 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

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