JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Self Evaluation Test - Alternating Current

  • question_answer
    The tuning circuit of a radio receiver has a resistance of \[50\,\Omega \], an inductor of 10 mH and a variable capacitor. A 1 MHz radio wave produces a potential difference of 0.1 mV. The values of the capacitor to produce resonance is \[(Take\,{{\pi }^{2}}=10)\]

    A) 2.5 pF

    B) 5.0 pF

    C) 25 pF

    D) 50 pF

    Correct Answer: A

    Solution :

    [a] \[L=10\,\,mHz={{10}^{-2}}\,Hz\] \[f=1\,MHz={{10}^{6}}\,Hz\] \[f=\frac{1}{2\pi \,\sqrt{LC}}\Rightarrow \,\,\,\,\,\,\,{{f}^{2}}=\frac{1}{4{{\pi }^{2}}LC}\]        \[\Rightarrow \,\,C=\frac{1}{4{{\pi }^{2}}{{f}^{2}}L}=\frac{1}{4\times 10\times {{10}^{-2}}\times {{10}^{12}}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner