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JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    A sinusoidal voltage of peak value \[300\,\,V\] and an angular frequency \[\omega =400\,\,rad/s\] is applied to series \[L-C-R\] circuit, in which \[R=3\Omega ,\,\,L=20\,\,mH\]and\[C=625\mu F\]. The peak current in the circuit is

    A) \[30\sqrt{2}A\]                

    B) \[60\,\,A\]

    C) \[100\,\,A\]                       

    D) \[60\sqrt{2}A\]

    Correct Answer: B

    Solution :

    The impedance of the circuit is                 \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\]                 \[{{X}_{L}}=\omega L=400\times 20\times {{10}^{-2}}=8H\]                 \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{400\times 625\times {{10}^{-6}}}=4F\]                 \[Z=\sqrt{{{(3)}^{2}}+{{(8-4)}^{2}}}=5\] The peak current in the circuit                 \[i=\frac{E}{Z}=\frac{300}{5}=60\,\,A\]


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