JCECE Medical JCECE Medical Solved Paper-2014

  • question_answer
    A sinusoidal voltage of peak value 300 V and an angular frequency \[\omega =400\,\text{rad/s}\]is applied to series L-C-R circuit, in which \[R=3\Omega ,\,L=20\,mH\]and \[C=652\mu F.\]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 \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{C}_{C}})}^{2}}}\] \[{{X}_{L}}=\omega L=400\times 20\times {{10}^{-2}}=8H\] \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{400\times 625\times {{10}^{-6}}}=4F\] \[X=\sqrt{{{(3)}^{2}}+{{(8-4)}^{2}}}=5\] The peak current in the circuit \[i=\frac{E}{Z}=\frac{300}{5}=60A\]


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