The Q-factor of a resonant circuit is 100. If the resonant frequency is 1 MHz, what is the bandwidth? 

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  1. 10 MHz 
  2. 100 kHz
  3. 1 kHz
  4. 10 kHz

Answer (Detailed Solution Below)

Option 4 : 10 kHz
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Detailed Solution

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Concept

In a resonant series circuit, the quality factor (Q) is a measure of how underdamped the system is and how sharp the resonance is.

It is given by:

\(QF={ω_o\over BW}\)

where, ωo = Resonance frequency

BW = Bandwidth

Calculation

Given, QF = 100

ω= 1 MHz

\(100={10^6\over BW}\)

BW = 1kHz

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