>
> More to the proof discussion launched by the duty cycle question,
given
>
> > dB = 10 log (P1/P2)
> >
> > Let "a" be the duty cycle ratio, with 0<a<1, so that P1 = aP2.
> >
> > Then dB = 10 log (aP2/P2) = 10 log (a).  Eq.
> > (1)
> >
> If 10 log (P1/P2) = 10 log (V1^2/V2^2) = 10 log (V1/V2)^2 = 20 log
(V1/V2),
>
> Then does it follow that,
>
> dB = 10 log (aV2^2/V2^2) = 10 log (aV2/V2)^2 = 20 log (a) ? Eq.  (2)
>
>
> If this is true, then
>
> duty cycle "a"  = 10 log (a) from Eq. (1)  and
>
> = 20 log (a) from Eq. (2)
>
> What am I missing?

The original intention of the calculations.

The first relation, dB = 10 log (aP2/P2) = 10 log (a)
is a "power" relation.

The second relation, dB = 10 log (aV2^2/V2^2) = 20 log (a)
is a "voltage relation. "

Equating the two is invalid since you're trying to equate
two different concepts.  Doesn't mean anything.

- Doug McKean



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