Amateur ExtraE5A09

How is the Q of an RLC parallel resonant circuit calculated?

C
Answer
Electrical principles and calculations
Type
A
Reactance of either the inductance or capacitance divided by the resistance
B
Reactance of either the inductance or capacitance multiplied by the resistance
C
Resistance divided by the reactance of either the inductance or capacitance
D
Reactance of the inductance multiplied by the reactance of the capacitance

Answer Notes

The Quality factor (Q) of a parallel RLC circuit is a measure of its energy storage relative to its energy loss. For a parallel resonant circuit, Q is calculated as the parallel resistance divided by the reactance of either the inductor or the capacitor (since their reactances are equal at resonance). Mathematically, this is Q = R / X. Note that this is the exact inverse of a series RLC circuit, where Q is calculated as the reactance divided by the resistance (Q = X / R). Remembering this distinction is crucial because test makers frequently offer the series formula as a distractor.
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What is the phase relationship between the current through and the voltage across a series resonant circuit at resonance?
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What is the resonant frequency of an RLC circuit if R is 33 ohms, L is 50 microhenries, and C is 10 picofarads?