An RLC series circuit has resonance frequency of 170 kHz and quality factor of 25. Find the bandwidth of the circuit.

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SSC JE Electrical 10 Oct 2023 Shift 2 Official Paper-I
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  1. 68 kHz
  2. 13.6 kHz
  3. 6.8 kHz
  4. 50 Hz

Answer (Detailed Solution Below)

Option 3 : 6.8 kHz
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Detailed Solution

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Concept

For a series RLC circuit, the bandwidth of the circuit is given by:

\(BW={f_o\over QF}\)

where, fo = Resonant frequency

QF = Quality factor

Calculation

Given, fo = 170 kHz

QF = 25

\(BW={170\over 25}\)

BW = 6.8 kHz

Additional Information For a series RLC circuit:

Damping factor, \(\zeta={R\over 2}\sqrt{C\over L}\)

Quality factor, \(QF={1\over R}\sqrt{L\over C}\)

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