J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    A 5\[50\text{ }Hz\] AC signal is applied in a circuit of inductance of \[(1/\pi )H\] and resistance \[2100\,\Omega \]The impedance offered by the circuit is

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

    B)  \[1700\,\,\Omega \]

    C)  \[2102\,\Omega \]           

    D)  \[2500\,\,\Omega \]

    Correct Answer: C

    Solution :

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


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