12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Case Based (MCQs) - Alternating Current

  • question_answer
    One microfarad capacitor is joind to a 200 V, 50 Hz alternator. The rms current through capacitor is

    A) \[6\centerdot 28\times {{10}^{-2}}A\]

    B) \[7\centerdot 5\times {{10}^{-4}}A\]

    C) \[10\centerdot 52\times {{10}^{-2}}A\]

    D) \[15\centerdot 25\times {{10}^{-2}}A.\]

    Correct Answer: A

    Solution :

    Current, \[{{I}_{v}}=\frac{{{E}_{v}}}{{{X}_{C}}}=\frac{{{E}_{v}}}{1/2\pi vC}=\left( 2\pi vC \right){{E}_{v}}\] \[{{I}_{v}}=2\times 3\,.\,14\times 50\times {{10}^{-6}}\times 200=6\,.\,28\times {{10}^{-2}}\,A\]


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