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NEET Sample Paper NEET Sample Test Paper-43

  • question_answer
    A voltage of peak value 283 V and varying frequency is applied to a series L-C-R combination in which R = \[3\Omega \], L = 25 mH and\[C=40\mu F\]. Then, the frequency (in Hz) of the source at which maximum power is dissipated in the above, is -

    A) \[\frac{250}{\pi }\]                    

    B) \[\frac{200}{\pi }\]

    C) \[\frac{100}{\pi }\]                    

    D) \[\frac{500}{\pi }\]

    Correct Answer: D

    Solution :

    For \[{{P}_{max}},\]i should be max \[\Rightarrow \,{{X}_{L}}={{X}_{C}}\] \[\Rightarrow \,\omega L=\frac{1}{\omega C}\] \[\Rightarrow \,2\pi fL=\frac{1}{2\pi fC}\] \[f=\frac{1}{2\pi \sqrt{LC}}\] \[\Rightarrow \,\frac{1}{2\pi \sqrt{25\times {{10}^{-3}}\times 40\times {{10}^{-6}}}}\]


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