12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Case Based (MCQs) - Alternating Current

  • question_answer
    Directions : (11-15)
    AC Voltage Applied to an Inductor
    Let a source of alternating e.m.f. \[E={{E}_{0}}\,\sin \omega t\]be connected to a circuit containing a pure inductance L. If I is the value of instantaneous current in the ciruit, then \[I={{I}_{0}}\sin \left( \omega t-\frac{\pi }{2} \right)\]. The inductive reactance limits the current in a purely inductive circuit and is given by \[{{X}_{L}}=\omega L\].
    A 100 hertz a. c. is flowing in a 14 mH coil. The reactance is

    A) \[15\,\Omega \]

    B) \[7\centerdot 5\Omega \]

    C) \[8\centerdot 8\Omega \]

    D) \[10\,\Omega \]

    Correct Answer: C

    Solution :

    Inductive reactance, \[{{X}_{L}}=\omega L=2\pi vL=2\pi \times 100\times 14\times {{10}^{-3}}\] \[{{X}_{L}}=8\,.\,8\Omega \]


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