BCECE Engineering BCECE Engineering Solved Paper-2012

  • question_answer
    The instantaneous values of current and voltage in an AC circuit are\[i=100\sin \,31\,4\,t\] amp and\[e=200\sin \left( 314t+\frac{\pi }{3} \right)V\] respectively. If the resistance is \[1\Omega ,\] then the reactance of the circuit will be

    A)  \[\sqrt{3}\,\Omega \]  

    B)         \[100\sqrt{3}\Omega \]              

    C)         \[-200\sqrt{3}\Omega \]             

    D)         \[-200/\sqrt{3}\Omega \]

    Correct Answer: A

    Solution :

    We have, \[{{V}_{0}}={{i}_{0}}Z\] \[\Rightarrow \]               \[200=100\,Z\]                 \[Z=2\Omega \] So, the impedance of the circuit \[{{Z}^{2}}={{R}^{2}}+X_{L}^{2}\]                 \[\Rightarrow \]               \[{{(2)}^{2}}={{(1)}^{2}}+X_{L}^{2}\]                                 \[{{X}_{L}}=\sqrt{3}\,\Omega \]


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