Oscillator Quality Factor

The efficiency of an oscillator is sometimes measured in terms of a quantity called Quality factor. It is defined as 2 π times the ratio of energy stored to the average power loss per cycle:



where θ is logarithmic decrement.



Q is a dimensionless quantity. High value of Q means low damping, viz. decrement θ is small or time constant is large. For an undamped oscillator, or Q approaches infinity. Since any practically important oscillator must be of low damping, we put ω ≈ to determine the Q of the oscillator:

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