Re: Coupling coeff. vs Voltage gain (was Re: Who needs aquenching gap ?)

["Tesla list" <tesla@pupman.com>]

Original poster: "Bert Hickman by way of Terry Fritz <twftesla@uswest.net>" <bert.hickman@aquila.net>

Ed,

A minor quibbling point - when k=1, the upper sideband goes to
infinity, but the lower sideband only drops down to Fo/Sqrt(2), not
zero. 

This is because (for large coupling coefficients and Q's of primary and
secondary not too unequal):
   F upper = Fo/Sqrt(1-k)
and
   F lower = Fo/Sqrt(1+k)

I fully agree that it's amazing that such a simple circuit leads to such
interesting and complex behavior...

-- Bert --
-- 
Bert Hickman
Stoneridge Engineering
Email:    bert.hickman@aquila.net
Web Site: http://www.teslamania.com

Tesla list wrote:
> 
> Original poster: "Ed Phillips by way of Terry Fritz
<twftesla@uswest.net>" <evp@pacbell.net>
> 
<SNIP>
> > Isn't interesting how a so simple and linear circuit (two coupled LC
> > tanks) can exhibit a so complex behavior?
> 
> Indeed!  Can't remember if you have stated this explicitly, but the
> circuits are, in effect, oscillating at two frequencies simultaneously;
> the higher the k the more separated they are until, at k=1, one is zero
> and the other is infinity.
> 
<SNIP>
> Ed