- #106
Ratch
- 315
- 0
Studiot,
How so?
Due to its conformal similarity, multiplying by "j" gives correct answers. But "j" is really a rotational operator, not a algebraic term. For instance, 4j does not mean j+j+j+j. It really means rotate 4 by 90° CCW. The term "imaginary" has been applied to them, but they are every bit as real as the numbers along the reference line. They instead should be called something like "orthogonal numbers".
Not so. For instance, -4j means rotate (-4) 90° CCW or -4j = -j4 means rotate (4) 90° CW.
As long as it gets rotated in the right direction, everything will be OK.
Certainly.
Things equal to the same thing are equal to each other.
You have to ask that question to whom I was replying.
I never said anything about uniqueness or exclusivity.
Ratch
You seem to have some difficulty with terminology.
How so?
imaginary numbers which can be expressed as the product of a real number and j
Due to its conformal similarity, multiplying by "j" gives correct answers. But "j" is really a rotational operator, not a algebraic term. For instance, 4j does not mean j+j+j+j. It really means rotate 4 by 90° CCW. The term "imaginary" has been applied to them, but they are every bit as real as the numbers along the reference line. They instead should be called something like "orthogonal numbers".
In particular only real numbers can be positive or negative. So one of the above quotes is false.
Not so. For instance, -4j means rotate (-4) 90° CCW or -4j = -j4 means rotate (4) 90° CW.
A reactance is a real number, usually given the sign X.
As long as it gets rotated in the right direction, everything will be OK.
This may be combined with j into an imaginary number and added to or subtracted from a real resistance to achieve a complex impedance.
Certainly.
Impedance, admittance and reactance are not inherently complex quantities.
I can show you a good book that says that immittance is not a phasor quantity, but is a complex quantity. It has to be. What else can you get when you divide a sinusoidal voltage by a sinusoidal current?
You get exactly what I wrote in post #90 a real modulus and a real phase angle.
Things equal to the same thing are equal to each other.
So what?
I can convert or transform 3 into 6 by doubling.
Again so what?
You have to ask that question to whom I was replying.
Your posts seem to imply that there only method available is that of complex analysis, which is simply not the case.
I never said anything about uniqueness or exclusivity.
Ratch