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

  • question_answer
    For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency                                   [Kerala PET 2005]

    A)            \[2500\,rad-{{s}^{-1}}\] and \[5\sqrt{2}\,A\]             

    B)            \[2500\,rad-{{s}^{-1}}\] and \[5A\]                                

    C)            \[2500\,rad-{{s}^{-1}}\] and \[\frac{5}{\sqrt{2}}A\]

    D)            \[25\,rad-{{s}^{-1}}\] and \[5\sqrt{2}\,A\]

    Correct Answer: B

    Solution :

      Resonance frequency \[\omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{8\times {{10}^{-3}}\times 20\times {{10}^{-6}}}}=2500\ rad/\sec \] Resonance current = \[\frac{V}{R}=\frac{220}{44}=5A\]


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