Re: Omega

On Mon, 1 Jul 2024 13:39:51 -0400, bitrex wrote:

On 6/30/2024 12:45 PM, Cursitor Doom wrote:

On Sun, 30 Jun 2024 07:38:19 -0700, john larkin wrote:
 

On Sun, 30 Jun 2024 14:23:24 +0100, Cursitor Doom <cd@notformail.com>
wrote:
>

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.

>
It's good to understand the basics, but I mostly use Spice these days,
even for simple things like voltage dividers.
>

You're up early today. Off to church are we?

>
No, I just woke up early with a zillion ideas. That happens some
times.
>
Today is San Francisco Pride Day (Dikes on Bikes and such) so it's a
good day to stay close to home. Traffic and parking and everything
will be a nightmare.
>
https://sfpride.org/parade
>
https://www.dropbox.com/scl/fi/j698pjo7jxm152zuzu4dx/

Pink_Triangle.jpg?

rlkey=n4xinzzm39bms9w04syb7egkx&raw=1
 
I went to one of those once in Berlin when I lived there. God almighty!
I've never seen such a complete and utter freak show in my entire life.
I just stood there gaping open-mouthed at the procession. It must have
been pretty obvious to any of those weirdos on the floats that I wasn't
there to celebrate them! I just find it bizarre that parents actually
take their kids to see this sort of thing and they're all waving their
rainbow flags and whatnot. No kids of mine would be allowed within a
million miles of an event like that. No wonder the God-fearing folks
reckon the world's going to hell in a handbasket. :(

 
Could always move to places that tolerate that sort of stuff.  Saudi
Arabia. Moscow. Abilene, Texas. Lots of options.
 
But Mr. Larkin seems to prefer it in San Fran and you seem to prefer
flitting about western Europe, interesting.

Well, I did warn John about moving to SF many years ago as I could tell
the way it was going, but he went ahead anyway and seems to have an
uncanny ability to only notice the nice side of the place (mainly by not
venturing downtown, it seems).