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JIPMER Jipmer Medical Solved Paper-2010

  • question_answer
    The impedance of a circuit, when a resistance R and an inductor of inductance L are connected in series in an AC circuit of frequency \[f,\] is

    A)  \[\sqrt{R+2{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]   

    B)        \[\sqrt{R+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]

    C)                         \[\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]

    D)        \[\sqrt{{{R}^{2}}+2{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]

    Correct Answer: C

    Solution :

    In L-R circuit, Impedance \[Z=\sqrt{{{R}^{2}}+X_{L}^{2}}\] Here,  \[{{X}_{L}}=\omega L=2\pi fL\] \[\therefore \]  \[Z=\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]


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