JIPMER Jipmer Medical Solved Paper-1995

  • question_answer
    Quality factor of LCR circuit having resistance R and inductance L at resonance frequency \[(\omega )\] is given by:            

    A)             \[{{\left( \frac{\omega L}{R} \right)}^{2}}\]                                             

    B)             \[{{\left( \frac{\omega L}{R} \right)}^{1/2}}\]

    C)                                    \[\frac{R}{\omega L}\]      

    D)                                    \[\frac{\omega L}{R}\]

    Correct Answer: D

    Solution :

    Here:     Resistance \[=R,\] inductance\[=L\] and       resonance frequency \[=\omega \] potential difference developed across the inductance \[=I\omega L\] and applied emf\[=IR\] Hence quality factor \[Q=\frac{\text{potential}\,\text{difference}}{\text{applied}\,\text{emf}}=\frac{I\omega L}{IR}=\frac{\omega L}{R}\]


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