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  4. A quality factor of LCR factor circuit having resistance R and inductance L at resonance frequency (to) is given by :

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Q. A quality factor of LCR factor circuit having resistance R and inductance L at resonance frequency (to) is given by :

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Solution:

The potential difference developed across the inductance is $ =i\,\omega \,L $ The emf applied is $ =iR $ Hence, quality factor $ Q=\frac{Potential\,difference}{Applied\,emf}=\frac{i\,\omega \,L}{iR}=\frac{\omega L}{R} $