BCECE Medical BCECE Medical Solved Papers-2011

  • question_answer
    A series resonant circuit contains \[L=\frac{5}{\pi }\,mH\],\[C=\frac{200}{\pi }\mu F\] and \[R=100\,\,\Omega \]. If a source of emf \[e=200\sin 100\,\,\pi t\] is applied, then the rms current is

    A)  2 A           

    B)  \[200\sqrt{2}\,A\]

    C)  \[100\sqrt{2}\,A\]

    D)  1.41 A

    Correct Answer: D

    Solution :

    \[e=200\sin 1000\,\pi \,t,\,\omega =100\,\pi \] \[\Rightarrow \] \[f=\frac{\omega }{2\pi }=500\,Hz\]                 \[{{e}_{0}}=200\,\,V\] At resonance Z = R So,          \[{{i}_{0}}=\frac{200}{R}=\frac{200}{100}=2\,A\] \[{{i}_{rms}}=\frac{{{i}_{0}}}{\sqrt{2}}=\frac{2}{\sqrt{2}}=\sqrt{2}=1.41\,A\]


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