JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank ac Circuits

  • question_answer
    An inductance of 1 mH a condenser of 10 mF and a resistance of 50 W are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be

    A)            100 W                                      

    B)            30 W

    C)            3.2 W                                       

    D)            10 W

    Correct Answer: D

    Solution :

                       Given \[\omega L=\frac{1}{\omega C}\,\Rightarrow \] \[{{\omega }^{2}}=\frac{1}{LC}\] or \[\omega =\frac{1}{\sqrt{{{10}^{-3}}\times 10\times {{10}^{-6}}}}=\frac{1}{\sqrt{{{10}^{-8}}}}={{10}^{4}}\]            \[{{X}_{L}}=\omega L={{10}^{4}}\times {{10}^{-3}}=10\,\Omega \]


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