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CBSE Class 12-science Answered

Obtain the resonant frequency and Q – factor of a series LCR circuit with L = 3H, C = 27𝛍F, R = 7.4Ω. It is desired to improve the sharpness of resonance of circuit by reducing its full width at half maximum by a factor of 2. Suggest a suitable way.
Asked by Jatinaa786 | 08 Nov, 2019, 01:22: PM
answered-by-expert Expert Answer
Resonant angular frequency ωo  = 1 / ( L C )1/2 = 1/ ( 3 × 27 × 10-6 )1/2 = 1000/9 ≈ 111 rad/s
 
Resonant frequency is obtained from , ωo = 2×π×fo  ; fo = 111/ (2π) = 17.7 Hz
 
Q-factor , Q = ωo L / R   = 111 × 3 / 7.4 = 333/7.4 = 45
 
To increase the sharpness of resosnance, L should be increased and R should be decreased
 
 
 
Answered by Thiyagarajan K | 08 Nov, 2019, 08:23: PM

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