J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    In an L-C-R serries resonant circuit which one of the following cannot be the expression for the Q-factor

    A)  \[\frac{\omega L}{R}\]

    B)  \[\frac{1}{\omega \,\,CR}\]

    C)  \[\sqrt{\frac{L}{C}}\frac{1}{R}\]

    D)  \[\frac{R}{LC}\]

    Correct Answer: C

    Solution :

    Q-factor \[=\frac{{{V}_{L}}}{{{V}_{R}}}\] or \[\frac{{{V}_{C}}}{{{V}_{R}}}=\frac{{{\omega }_{0}}L}{R}\]  or \[\frac{1}{{{\omega }_{0}}CR}\] \[\Rightarrow \] Q-factor \[=\frac{1}{R}\sqrt{\frac{L}{C}}\]


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