Sujet : Re: Omega
De : cd (at) *nospam* notformail.com (Cursitor Doom)
Groupes : sci.electronics.designDate : 30. Jun 2024, 14:13:31
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <fji28jtu204no6o2mdejaattraomstpcsi@4ax.com>
References : 1 2
User-Agent : ForteAgent/8.00.32.1272
On Sun, 30 Jun 2024 11:57:21 +0100, piglet <
erichpwagner@hotmail.com>
wrote:
On 30/06/2024 8:44 am, Cursitor Doom 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...
>
>
Watch this (your question is addressed at 2:07)
>
<https://youtu.be/Vv2W5vJFqFo?si=eX3ZONUzzpNNxGtg>
>
piglet
>
Thanks, Erich. I did wonder if radians had something to do with it.
However, knowing that 2 pi radians = 360 degrees or a full wavelength
doesn't help me understand why this figure multiplied by the frequency
multiplied by the inductance gives us the reactance of a coil. Small
omega therefore equals one second's worth of signal and I don't get
how multipying that by the inductance amounts to the reactance!