BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    In L - R circuit, resistance is 8 \[\Omega \] and inductive reactance is \[\Omega ,\] then impedance is:

    A)  \[2\Omega \]                                   

    B)         \[14\Omega \]                

    C)         \[4\Omega \]                                   

    D)         \[10\Omega \]

    Correct Answer: D

    Solution :

    In series L-R circuit, impedance is given by \[Z=\sqrt{{{R}^{2}}+X_{L}^{2}}\] where R is the resistance and \[{{X}_{L}}\]the inductive reactance. Given,    \[R=8\,\Omega ,\,{{X}_{L}}=6\,\Omega \] \[\therefore \]  \[Z=\sqrt{{{(8)}^{2}}+{{(6)}^{2}}}\]                 \[=\sqrt{64+36}\]                 \[=\sqrt{100}\] \[=10\,\Omega \] Note: Inductive reactance\[{{X}_{L}}\] is zero then circuit is purely resistive.


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