For a series RLC circuit, selectivity is defined as the ratio of:

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  1. bandwidth to the resonant frequency
  2. upper cutoff frequency to lower cutoff frequency
  3. resonant frequency to the bandwidth
  4. lower cutoff frequency to upper cutoff frequency

Answer (Detailed Solution Below)

Option 3 : resonant frequency to the bandwidth
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The selectivity/sharpness of the resonance amplifier is measured by the quality factor and is explained in the figure shown below:

F1 U.B. Nita 29.10.2019 D 3

Selectivity of a resonant circuit is defined as the ratio of resonant frequency fr to the half power bandwidth.

Selectivity = resonance frequency/3-dB Bandwidth
\( = \frac{{{f_r}}}{{{f_2} - {f_1}}}\)

Important Points

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

\(Q=\frac{{ω}_{r}}{BW}\)

ωr = Resonant frequency

B.W. = Bandwith of the amplifier

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