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RAJASTHAN PMT Rajasthan - PMT Solved Paper-1999

  • question_answer
    In an A.C. circuit, for angular frequency \[\omega =\]1000 rad/s, resistance of a coil is  100 \[\Omega ,\] then for (\[\omega =\] 100 rad/s, resistance of the coil is:

    A)  1000\[\Omega \]            

    B)         100\[\Omega \]

    C)  50\[\Omega \]                

    D)         10\[\Omega \]

    Correct Answer: D

    Solution :

    Resistance of coil\[{{X}_{L}}\propto \omega \] \[\frac{{{X}_{{{L}_{1}}}}}{{{X}_{{{L}_{2}}}}}=\frac{{{\omega }_{1}}}{{{\omega }_{2}}}\] \[\Rightarrow \]                               \[\frac{100}{{{X}_{{{L}_{2}}}}}=\frac{1000}{100}\] \[{{X}_{{{L}_{2}}}}=10\,\text{ohms}\]


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