alleryStart learning →The QUALITY FACTOR Q of a series RLC resonant circuit measures
Athe resistance of the circuit
Bthe sharpness of resonance (selectivity)
Cthe maximum current
Dthe source voltage
Answer & Solution
Correct answer: B. the sharpness of resonance (selectivity)
1. Q (Quality factor): $Q = \dfrac{\omega_0 L}{R} = \dfrac{1}{\omega_0 R C} = \dfrac{f_0}{\Delta f}$.
2. HIGH Q: narrow, sharp resonance peak — good for selective filters/tuners.
3. LOW Q: broad, flat response — used in wide-band applications.
4. Bandwidth $\Delta f$ (between -3dB points) is INVERSELY proportional to Q.
5. Q also equals $2\pi$ times the ratio of energy stored to energy lost per cycle.
6. Other options misidentify Q.
_Source: Tony Kuphaldt, "Lessons in Electric Circuits — AC", Vol II, Ch 6 (Q factor in resonance)._
Keep practising Electric Circuits
Browse all Electric Circuits questions for GATE EE, or explore more Electrical Engineering topics.
Related questions
Drop each trait into Thevenin or NortonStack equal resistors into one valueThe IMPEDANCE of a series RL circuit at angular frequency $\omega$ isAn RMS AC voltage of $230\,\text{V}$ drives a $100\Omega$ RESISTIVE load. The real power dIn an AC circuit with a pure CAPACITOR, the currentIn an AC circuit with a pure INDUCTOR, the currentA purely RESISTIVE AC load has voltage and current that arePOWER FACTOR is defined as