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

  • question_answer
     The frequency for which a \[5\,\mu F\] capacitor has a reactance of \[\frac{1}{1000}\] ohm is given by                                     [MP PET 1997]

    A)            \[\frac{100}{\pi }MHz\]   

    B)            \[\frac{1000}{\pi }Hz\]

    C)            \[\frac{1}{1000}Hz\]          

    D)            1000 Hz

    Correct Answer: A

    Solution :

               \[{{X}_{C}}=\frac{1}{2\pi \nu C}\]\[\Rightarrow \,\frac{1}{1000}=\frac{1}{2\pi \times \nu \times 5\times {{10}^{-6}}}\] \[\Rightarrow \nu =\frac{100}{\pi }MHz\]


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