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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2011

  • question_answer
    If the values of resistance, inductive reactance and capacitive reactance in a series LCR AC circuit are \[3\,\Omega ,\] \[10\,\Omega \] and \[6\,\Omega \] respectively, the total impedance of the circuit is

    A)  \[25\,\Omega \]                             

    B) \[\sqrt{7}\,\Omega \]

    C)  \[5\,\Omega \]               

    D)         \[19\,\Omega \]

    Correct Answer: C

    Solution :

    In a series \[LCR\,\,AC\] circuit total impedence                 \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\]                 \[Z=\sqrt{{{(3)}^{2}}+{{(10-6)}^{2}}}\]                    \[=\sqrt{9+16}\]                    \[=\sqrt{25}\]                    \[=5\Omega \]


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