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

  • question_answer
     An LCR circuit contains R = 50 W , L = 1 mH and C = 0.1 mF. The impedance of the circuit will be minimum for a frequency of [Bihar MEE 1995]

    A)            \[\frac{{{10}^{5}}}{2\pi }{{s}^{-1}}\]                               

    B)            \[\frac{{{10}^{6}}}{2\pi }{{s}^{-1}}\]

    C)            \[2\pi \times {{10}^{5}}{{s}^{-1}}\]                                 

    D)            \[2\pi \times {{10}^{6}}{{s}^{-1}}\]

    Correct Answer: A

    Solution :

               Impedance of LCR circuit will be minimum at resonant frequency so \[{{\nu }_{0}}=\frac{1}{2\pi \sqrt{LC}}\] \[=\frac{1}{2\pi \sqrt{1\times {{10}^{-3}}\times 0.1\times {{10}^{-6}}}}\] \[=\frac{{{10}^{5}}}{2\pi }Hz\]


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