The value of quality factor is:

Correct answer: A. ωL/R

  • A. ωL/R
  • B. 1/ωRC
  • C. √LC
  • D. L/R

Explanation

The quality factor, or Q-factor, of an RLC circuit is a dimensionless parameter that describes how underdamped the circuit is and its bandwidth relative to its center frequency. The correct formula is Q = ωL/R, where ω is the angular frequency, L is the inductance, and R is the resistance. This option correctly reflects the dependency of the quality factor on these parameters. Option B (1/ωRC) is incorrect because it pertains to the time constant in an RC circuit, not the quality factor. Option C (√LC) is incorrect because it represents the resonant frequency of an LC circuit. Option D (L/R) is incorrect because it omits the angular frequency, which is crucial in the formula for the quality factor.

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