# Re: Who needs a quenching gap ?

```Original poster: "Antonio Carlos M. de Queiroz by way of Terry Fritz <twftesla-at-uswest-dot-net>" <acmq-at-compuland-dot-com.br>

Tesla list wrote:
>
> Original poster: "Finn Hammer by way of Terry Fritz
<twftesla-at-uswest-dot-net>" <f-hammer-at-post5.tele.dk>

> > Note the curious fact that it's possible to have total energy transfer
> > at the 1st notch (modes a,a+1), at the second notch (modes a,a+3), or
> > at the nth notch (modes a,a+2*n-1).
>                     ^^^^^^^^^^^^^^^^^^
>                     Here is the problem
>
> I plugged in the values from mode 2,5 which gives total transfer at 2nd.
> notch:
>
> 2,2+2*2-1 = 2,4  Are you sure that the * should not be a + ?
>
> this would give:
>
> 2,2+2+2-1 = 2,5

Do the multiplication first: 2,2+(2*2)-1 = 2,5
The term (2*n)-1 means simply the nth odd integer (1,3,5,7,...)

> > Close to each optimum k for total transfer at the 1st notch there are
> > two values of k the result in total transfer at the second notch.
>
> Looking to understand this, I picked the mode 9,10 that should give 1st.
> notch transfer:
>
> 9,10    19/181  = 0.105 5.0
>
> Then the 2 modes on each side of it that should give 2nd. notch
> transfer:
>
> 26,29   165/1517= 0.109 14.5
> 28,31   177/1745= 0.101 15.5
>
> It was here that i realized, that the first envelope is a 1/2 one, the
> next envelope is a full one, and has double the oscillations.

Exactly.

> Perhaps this will show up in actual testing, since the coil is already
> content to finish the transfer to the streamers at the 2nd. notch, some
> difference should show up when sliding the coupling trough values that
> give full transfer at 1st. to nth. notch

The amount of energy left in the primary in "imperfect" notches is
small in the modes that require many cycles for energy transfer,
sparg gaps are not so precise, and there are losses in a real system,
not considered in my idealized calculations.
But I believe that by adjusting the input power and the coupling it
will be possible to demonstrate a situation where quenching occurs at
the second notch, but when the coupling is adjusted to a "magical"
value it jumps to the first notch, at least some times.

Antonio Carlos M. de Queiroz

```