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Serial Resonance facts?

O

Overlord

Jan 1, 1970
0
How goes it all?
Well, I'm studying up on electronics and had some questions.
I have the parallel resonance circuits down; that's easy.
At resonance each branch pumps out it's current 90° out of phase.
When they combine in the main line the currents are actually 180° out
of phase and cancel each other out .
f= 1/2pi²LC (damn... newsreader won't take a pi sign or a square
root sign..... 'nother giant step backwards....)

Anyway.... that's pretty straight forward to me.
My problem is the serial resonant circuit.
When Xl = Xc, basically the combination of the 2 causes the reactance
of both, and consequently the impedance to vanish.
Why? Can someone lay it out for me?
Thanks....
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