J & K CET Medical J & K - CET Medical Solved Paper-2013

  • question_answer
    A 50 Hz AC signal is applied in a circuit of inductance of\[(1/\pi )H\]and resistance\[2100\text{ }\Omega \]. The impedance offered by the circuit is

    A)  \[1500\text{ }\Omega \]            

    B)  \[1700\text{ }\Omega \]

    C)  \[2102\text{ }\Omega \]          

    D)  \[2500\text{ }\Omega \]

    Correct Answer: C

    Solution :

     Impedance\[Z=\sqrt{{{R}^{2}}+X_{L}^{2}}\] \[{{X}_{L}}=\omega L=2\pi fL\] Given, \[R=2100\,\Omega ,f=50\,Hz,L=\frac{1}{\pi }\] \[Z=\sqrt{{{(2100)}^{2}}+{{(2\times 50)}^{2}}}\] \[=\sqrt{{{(2100)}^{2}}+{{(100)}^{2}}}\] \[Z=2102\,\Omega \]


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