MGIMS WARDHA MGIMS WARDHA Solved Paper-2014

  • question_answer
    When a given coil is connected to a 200V, 50 Hz AC source, 1 A current flows in the circuit. The inductive reactance of the coil used is

    A)  \[50\sqrt{3}\Omega \]                                 

    B)  \[200\sqrt{3}\Omega \]

    C)  \[150\sqrt{3}\Omega \]              

    D)  \[100\sqrt{3}\Omega \]

    Correct Answer: D

    Solution :

                    Ohmic resistance \[R=V/I=200/2=100\,\Omega \] Impedance\[Z=V/I=200/1=200\text{ }\Omega \]. Also, it is LR series AC circuit. Impedance \[{{Z}^{2}}={{R}^{2}}+X_{L}^{2}\]                 \[{{200}^{2}}={{100}^{2}}+X_{L}^{2}\]                 \[X_{L}^{2}={{200}^{2}}-{{100}^{2}}\]                 \[{{X}_{L}}=100\sqrt{3}\Omega \]


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