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From: Cursitor Doom <cd@notformail.com>
Newsgroups: sci.electronics.design
Subject: Re: Omega
Date: Sun, 30 Jun 2024 14:23:24 +0100
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On Sun, 30 Jun 2024 06:05:41 -0700, john larkin
<jlarkin_highland_tech> wrote:

>On Sun, 30 Jun 2024 08:44:34 +0100, Cursitor Doom <cd@notformail.com>
>wrote:
>
>>Gentlemen,
>>
>>For more decades than I care to remember, I've been using formulae
>>such as Xc= 1/2pifL, Xl=2pifC, Fo=1/2pisqrtLC and such like without
>>even giving a thought as to how omega gets involved in so many aspects
>>of RF.  BTW, that's a lower-case, small omega meaning
>>2*pi*the-frequency-of-interest rather than the large Omega which is
>>already reserved for Ohms. How does it keep cropping up? What's so
>>special about the constant 6.283 and from what is it derived?
>>Just curious...
>
>2 * pi.
>
>If a thing 1 unit in radius rotates one time per second, its
>circumference is 2pi so its rim velocity is 2pi/second.
>
>A capacitor current depends on the rate of change of the voltage. 
>
>  I = CV/T
>
>A 1 volt peak 1 Hz  sine wave has its max rate of change at the zero
>crossing, and that rate is 2pi volts/second. So 1 farad driven with a
>1 Hz 1 volt peak sine wave has a peak current of 2pi amps.
>
>You can Spice all that to get a feel for things.

Thanks, John. This is the fundamental stuff I just overlook since the
need for it so rarely crops up. It's easier to take an abstraction
level higher and lose all the vital detail in the process.
You're up early today. Off to church are we?