Baluncore said:
You really are confusing things by making notation soup.
Your post #24 is a foundation of sand.
Please stick to the standard electrical complex number notation. Z, R, X, Y, G, B, j.
An impedance is a complex resistance, Z = R + X j;
Where R is real resistance, and the imaginary X is reactance.
To identify the imaginary part we use a late j, not an early i.
That is because i tends to get confused with current; i1 = i 2 + i3 j.
The reciprocal of impedance is admittance, Y = 1 / Z.
Y = G + B j; where real G is the conductance, and the imaginary B is the susceptance.
Converting either way between the two involves the complex reciprocal of z = a + b j;
First compute the sum of squares, s = a² + b²; The reciprocal of z is then; y = (a/s) + (-b/s) j.
For a series circuit, convert all to impedances, then add.
For a parallel circuit, convert all to admittances, then add.
The general term for complex impedance or admittance is a hybrid term, immittance.
The question is if what I wrote in #29 is
wrong in content or just causes confusion
due to usage of non standard notations?
If it makes it easier to read it with notations
you are suggesting, I can try to rewrite it.
If there are other fundamental errors except
this notation issue in #24 and the following
post, please call them by name.
If it's only due to bad notation, let go back to my concern in #29:
Our starting position was that we are going
to model our circuit consisting of a tuned circuit
and an antenna by image in #24.
As you said it's standard to to consider
tuned circuit as "source" and the antenna as "load".
The impedance of the source we call
Z_S= R_S +X_S j and the impedance of the load we call
Z_L= R_L +X_L j.
And what we want is to study what advantage does it bring by adding
a coupling capacitor between the antenna and the tunned
circuit.
As you said the main effect we want to archieve is
to make Q of the source high, right?
Therefore we want to
look how the Q of the source changes if we add a
capacitor ("the "coupling capacitor") in series to the antenna
(= load).
As far as understand it correctly when we add this capacitor
we have to treat it as a part of the new "load"
consisting of antenna + this capacitor, and therefore we
obtain new load impedance beeing the sum of the "old load" -
the antenna impedance Z_L= R_L +X_L j - and the
impedance of the added capacitor.
Next, as you already said we recall that making Q high means
that We want that the load is more than Q times the resonant
reactance X_S?
Now my questions are: Firstly, is what I have written up to now
correct?
And secoundly, as I already asked in #29, The "load",
what is the "load" here it in terms of Z_L, R_L, X_L?
Is my concern a bit clearer now?