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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • question_answer
    An alternating potential of frequency \[f\] is applied on a circuit containing a resistance R and a choke L in series. The impedance of this current is                

    A)  \[R+2\pi fL\]                                     

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

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

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

    Correct Answer: B

    Solution :

    Impedance of the. circuit \[(Z)=\sqrt{{{R}^{2}}+X_{L}^{2}}\] \[=\sqrt{{{R}^{2}}+{{(L\omega )}^{2}}}\] \[=\sqrt{{{R}^{2}}+{{(L.2\pi f)}^{2}}}\] \[=\sqrt{{{R}^{2}}+4{{\pi }^{2}}{{f}^{2}}{{L}^{2}}}\]


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