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Re: Resonant Voltage Formula
Original poster: Ed Phillips <evp-at-pacbell-dot-net>
Tesla list wrote:
>
> Original poster: John <fireba8104-at-yahoo-dot-com>
>
> Thanks Antonio,
> Others as well as I will find this verty useful.
> Cheers,
> John
>
> Tesla list <tesla-at-pupman-dot-com> wrote:
> Original poster: "Antonio Carlos M. de Queiroz"
>
> Tesla list wrote:
> >
> > Original poster: John
>
> > As we all know a resonant circuit driven at it's resonant frequency will
> > have a final voltage of Vin * Q of the circuit. I wish to know if
there is
> > a formula or method for finding the voltage at X number of cycles. This
> > also might be useful in the up and coming DRSSTC field.
>
> For a - single LCR circuit - the amplitude of the oscillations follows:
> Vpeak = Vmax(1-exp(-t/T))
> where T=2*Q/w0 and t is the time.
> but t=n*2*pi/w0 where n is the number of cycles.
> Vpeak = Vmax(1-exp(-n*pi/Q))
> Q cycles: 0.96 Vmax
> Q/2 cycles: 0.80 Vmax
> Q/4 cycles: 0.54 Vmax
>
> Antonio Carlos M. de Queiroz
Terry:
This topic is discussed at length in "Circular 74". I know you have
the scanned version in your archives but can't remember where. Could
you please tell us that so I can download the whole thing to a CD which
I WILL be able to find?
Thanks,
Ed