KL7AJ on the Conjugate Match Theorem asked the question Should we have expected this outcome?

Let us solve a very similar problem analytically where measurement errors do not contribute to the outcome.

Taking the load impedance to be the same 10.1+j0.2Ω, and calculating for a T match similar to the MFJ-949E (assuming L=26µH, QL=200, and ideal capacitors) we can find a near perfect match.

The capacitors are 177.2 and 92.93pF for the match.

Now turning the network around by swapping the capacitors and changing the load to 50+j0Ω.

Above, the impedance looking back towards the 50Ω load is 17.28-j0.71Ω, which is quite close to the value obtained by measurement, 18.0-j0.8Ω (which is dependent on the actual Q of the ATU elements).

So, in answer to the question Should we have expected this outcome?

, the answer is yes, it is not surprising and quite similar to what we might expect from a network of this type.

Walt Maxwell’s Conjugate Mirror (Maxwell 2001 24.5) which imbues a magic system wide conjugate match with certain benefits, a utopia, which does not apply to systems that include any loss, it does not apply to real world systems. Maxwell does not state that limitation of his proposition.

Is a ham transmitter conjugate matched to its load? Watch for a follow up post.

## References

- KL7AJ on the Conjugate Match Theorem
- Maxwell, Walter M. 2001. Reflections II. Sacramento: Worldradio books.