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12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQ - Alternating Currents

  • question_answer
    A voltage of peak value 283 V and varying frequency is applied to series LCR combination in which \[R=3\,\,\Omega ,\,\,L=25\,mH\] and\[C=400\mu F\]. Then the frequency (in Hz) of the source at which maximum power is dissipated in the above is:

    A) 51.5                             

    B) 50.7    

    C) 51.1                             

    D) 50.3

    Correct Answer: D

    Solution :

    (d) 50.3 Here,   \[{{V}_{0}}=283\,\,V,\,\,R=3\,\Omega ,\,L=25\times {{10}^{-3}}H\]             \[C=400\,\mu F=4\times {{10}^{-4}}F\] Maximum power is dissipated at resonance, for which \[v=\frac{1}{2\pi \sqrt{LC}}=\frac{1\times 7}{2\times 22\sqrt{25\times {{10}^{-3}}\times 4\times {{10}^{-4}}}}\] \[=\frac{7\times {{10}^{3}}}{44\sqrt{10}}=50.3\,Hz\]


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