12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQ - Alternating Currents

  • question_answer
    A 44 mH inductor is connected to 220 V, 50 Hz AC supply. The rms value of the current in the circuit is:

    A) 12.8 A                          

    B) 13.6 A   

    C) 15.9A                           

    D) 19.5 A

    Correct Answer: C

    Solution :

    (c) 15.9 A Here,    \[L=44\,mH=44\times {{10}^{-3}}H\] \[{{V}_{rms}}=220\,V,\,v=50\,Hz\] The inductive reactance is \[{{X}_{L}}=\omega L=2\pi vL\] \[=2\times 3.14\times 50\times 44\times {{10}^{-3}}=13.82\,\Omega \] \[\therefore {{l}_{rms}}=\frac{{{V}_{rms}}}{{{X}_{L}}}=\frac{220}{13.82}=15.9\,A\]


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