CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

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

    A)  \[30\sqrt{2}A\]

    B)         \[60A\]               

    C)         \[100A\]             

    D)         \[60\sqrt{2}A\]

    E)  \[100\sqrt{2}A\]

    Correct Answer: B

    Solution :

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


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