AMU Medical AMU Solved Paper-2011

  • question_answer
    An alternating voltage (in volt) given by \[V=200\sqrt{2}\]sin(100\[t\]) is connected to \[1\mu F\] capacitor through an ideal AC ammeter in series. The reading of the ammeter and the average power consumed in the circuit shall be

    A) \[20\text{ }mA,\text{ }0\]                        

    B)  \[20mA,4W\]

    C) \[20\sqrt{2}\,mA,8W\]              

    D)  \[20\sqrt{2}\,mA,4\sqrt{2}W\]

    Correct Answer: C

    Solution :

                     \[V=200\sqrt{2}\sin (100t)\] Current \[{{i}_{0}}={{V}_{0}}\omega C\]                 \[=200\sqrt{2}\times 100\times 1\times {{10}^{-6}}\]                 \[=20\sqrt{2}\,mA\] Power \[P={{V}_{0}}{{i}_{0}}\]                 \[=200\sqrt{2}\times 20\sqrt{2}\times {{10}^{-3}}\]                 = 8 W


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