12th Class Physics Electro Magnetic Induction Question Bank MCQs - Electromagnetic Induction

  • question_answer
    If two coils of self inductance \[{{\operatorname{L}}_{1}}\] and \[{{\operatorname{L}}_{2}}\] are coupled together, their mutual inductance becomes

    A) \[\operatorname{M}=k\sqrt{{{\operatorname{L}}_{1}}{{L}_{2}}}\]

    B) \[\operatorname{M}=k\sqrt{\frac{{{L}_{1}}}{{{L}_{2}}}}\]

    C) \[\operatorname{M}=k\sqrt{{{\operatorname{L}}_{1}}+{{L}_{2}}}\]

    D) None of the above

    Correct Answer: A

    Solution :

    Option [a] is correct. Explanation: If two coils of self inductance \[{{\operatorname{L}}_{1}}\]  and \[{{\operatorname{L}}_{2}}\] are coupled together, their mutual inductance become M= \[k\sqrt{{{L}_{1}}{{L}_{2}}}\] where k= coupling constant whose value lies between 0 and 1.


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