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NEET Physics Alternating Current / प्रत्यावर्ती धारा NEET PYQ-Alternating Current

  • question_answer
    In an AC circuit an alternating voltage \[e=200\sqrt{2}\sin \,100\,t\] volt is connected to a capacitor of capacity \[1\,\mu F\]. The \[rms\] value of the current in the circuit is                                                                    [AIPMT (S) 2011]

    A)  100 mA           

    B)       200 mA

    C)  20 mA

    D)       10 mA

    Correct Answer: C

    Solution :

    Given,   \[e=200\sqrt{2}\sin 100t\]
    and       \[C=1\mu F\]
                \[{{E}_{rms}}=200\,V\]
    \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{1\times {{10}^{-6}}\times 100}={{10}^{4}}\Omega \]
    \[{{i}_{rms}}=\frac{{{E}_{rms}}}{{{X}_{C}}}\]
    \[{{i}_{rms}}=\frac{200}{{{10}^{4}}}=2\times {{10}^{-2}}A=20mA\]


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