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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