JEE Main & Advanced JEE Main Online Paper (Held On 08 April 2018)

  • question_answer
    For an RLC circuit driven with voltage of amplitude \[{{\text{v}}_{m}}\] and frequency \[{{\omega }_{0}}\text{=}\frac{\text{1}}{\sqrt{\text{LC}}}\] the current exhibits resonance. The quality factor, Q is given by : [JEE Main Online 08-04-2018]

    A)  \[\frac{R}{({{\omega }_{o}}C)}\]              

    B)  \[\frac{CR}{{{\omega }_{o}}}\]

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

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

    Correct Answer: C

    Solution :

    Q-factor of series R-L-C circuit\[=\frac{{{x}_{L}}}{R}=\left( \frac{{{\omega }_{0}}L}{R} \right)\] Where \[{{X}_{L}}\] is inductive reactance.


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