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Hello all,
It's known that the Quality factor Q is defined as :
and for high Q resonators, It's known that Q can be also given by :
My question is, How can i prove that ? that both expressions of Q are equivalent if Q is large enough ?
I can prove it for many circuits, but i want a general rigorous proof of that.
Thank you in advance
It's known that the Quality factor Q is defined as :
Q = 2*pi*(Energy stored at resonance) / (Energy loss per cycle)
and for high Q resonators, It's known that Q can be also given by :
Q = Resonance frequency / 3dB Bandwidth
My question is, How can i prove that ? that both expressions of Q are equivalent if Q is large enough ?
I can prove it for many circuits, but i want a general rigorous proof of that.
Thank you in advance