JCECE Medical JCECE Medical Solved Paper-2011

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

    A)  10 mA         

    B)  20 mA

    C)  40 mA          

    D)  80 mA

    Correct Answer: B

    Solution :

     Given,\[V=200\sqrt{2}\sin 100t\] Comparing this equation with \[V={{V}_{0}}\sin \omega t,\]we have \[{{V}_{0}}=200\sqrt{2}\,V\] and \[\omega =100\,rad/s\] The current in the capacitor is \[I=\frac{{{V}_{rms}}}{{{Z}_{C}}}={{V}_{rms}}\times \omega C\] \[=\frac{{{V}_{0}}}{\sqrt{2}}\times \omega C\] \[=\frac{200\sqrt{2}}{\sqrt{2}}\times 100\times 1\times {{10}^{-6}}\] \[=20\times {{10}^{-3}}A\] \[=20\,mA\]


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