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If the resonant frequency in a series RLC circuit is 50kHz along with a bandwidth of 1kHz, find the quality factor.
  • a)
    5
  • b)
    50
  • c)
    100
  • d)
    500
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the resonant frequency in a series RLC circuit is 50kHz along with ...
We know that Quality factor is equal to the resonant frequency divided by the bandwidth. Substituting the values from the given question, we get Q=50.
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If the resonant frequency in a series RLC circuit is 50kHz along with ...

Calculation of Quality Factor

To calculate the quality factor (Q) of an RLC circuit, we use the formula:

Q = Resonant Frequency / Bandwidth

Given values:
Resonant Frequency (f) = 50 kHz
Bandwidth (Δf) = 1 kHz

Calculation:
Q = 50 kHz / 1 kHz
Q = 50

Therefore, the quality factor of the series RLC circuit is 50.

This value indicates the sharpness of the resonance peak in the circuit. A higher quality factor signifies a more selective circuit with a narrow bandwidth around the resonant frequency.
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