The Total solution for NCERT class 6-12
Obtain the resonant frequencyand Q-factor of a series LCR circuit with L =3.0 H, C = 27 μF, and R = 7.4 Ω. It isdesired to improve the sharpness of the resonance of the circuit by reducingits ‘full width at half maximum’ by a factor of 2. Suggest a suitable way.
Inductance, L =3.0 H
Capacitance, C =27 μF = 27 × 10−6 F
Resistance, R =7.4 Ω
At resonance, angular frequencyof the source for the given LCR series circuit is given as:
Q-factorof the series:
To improve the sharpness of the resonance by reducingits ‘full width at half maximum’ by a factor of 2 without changing
, we need to reduce R tohalf i.e.,
Resistance