For a series RLC circuit, the quality factor is defined as the ratio of

For a series RLC circuit, the quality factor is defined as the ratio of

Right Answer is:

Resonance frequency to bandwidth

SOLUTION

The quality factor Q is defined as the ratio of the resonant frequency to the bandwidth.

Q = fr/BW

fr = resonant frequency

For a series RLC circuit, the resonance frequency is calculated as:

${f_r} = \dfrac{1}{{\sqrt {LC} }}$

The bandwidth of a series RLC circuit is calculated as:

BW = R/L

substituting this in Equation

$Q = \dfrac{{{f_r}}}{{BW}} = \dfrac{1}{R}\sqrt {\dfrac{L}{C}}$

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