AIIMS AIIMS Solved Paper-1999

  • question_answer
    If the rotational velocity of a dynamo armature is doubled, then the induced e.m.f. will become

    A) half                       

    B)        two times           

    C)        four times       

    D)        unchanged.

    Correct Answer: B

    Solution :

                    If A is the area of the coil, there are N turns in the coil, \[\omega \] being the angular velocity of the armature, then the flux through each turn in time t is given by \[\phi =BA\cos \omega t\] Using Faradays Law, the emf induced in each turn of the coil is \[-\frac{d\phi }{dt}=BA\omega \sin \omega t\] The total induced emf in the coil             \[\varepsilon =NBA\omega \,\,\sin \omega t\] Now if we double \[\omega ,\,\,\varepsilon \] will be doubled.


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