NEET AIPMT SOLVED PAPER SCREENING 2011

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

    A)  100 mA

    B)                        200 mA

    C)  20 mA

    D)         10 mA

    Correct Answer: C

    Solution :

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


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