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Quality Factor (Q)
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Center Frequency
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Bandwidth
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Angular Frequency
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Quality Factor (Q) is a measure of how close a component is to an ideal component. For inductors, it indicates how much energy is stored versus energy lost. Higher Q values mean better performance with less energy loss and sharper resonance.
For inductors, Q = ωL/R = 2πfL/R, where f is frequency, L is inductance, and R is the internal resistance. This shows that Q increases with frequency and inductance, but decreases with resistance.
Inductor Q-factor measures component quality using frequency, inductance, and resistance. Bandpass filter Q-factor measures filter selectivity using Q = fc/(f2-f1), where fc is center frequency and (f2-f1) is bandwidth.
Good Q-factor values depend on application. For inductors, Q > 100 is excellent, 50-100 is good, and below 10 is poor. For filters, higher Q means narrower bandwidth and better selectivity.
For inductors, Q-factor increases linearly with frequency because inductive reactance (ωL) increases while resistance stays constant. However, at very high frequencies, parasitic effects can cause Q to decrease.
Real inductors have resistance in the wire, core losses, and parasitic capacitance. Capacitors have equivalent series resistance (ESR) and dielectric losses. These parasitic elements limit the maximum achievable Q-factor.
To improve Q-factor: use components with lower resistance, choose better core materials for inductors, minimize parasitic effects, operate at optimal frequencies, and use proper circuit design techniques.
Q-factor and bandwidth are inversely related: Q = fc/BW. Higher Q means narrower bandwidth (more selective), while lower Q means wider bandwidth (less selective). This relationship is fundamental in filter design.