In an AC generator, a coil with N turns, all of the same area A and total resistance R , rotates with frequency \omega in a magnetic field B . The maximum value of emf generated in the coil is

  • Option 1)

    NAB\omega

  • Option 2)

    NABR\omega

  • Option 3)

    NAB

  • Option 4)

    NABR

 

Answers (1)

As we learnt in 

Motional E.m.f due to rotational motion -

Semicircle conducting loop

\varepsilon = \frac{1}{2}Bwr^{2}

i = \frac{Bwr^{2}}{2R}

 

- wherein

Flux at any instant is\phi=BA\ cos\omega t

emf=(BA\;\omega sin \omega t)N

maximum emf=NBA \omega

 


 


Option 1)

NAB\omega

This option is correct

Option 2)

NABR\omega

This option is incorrect

Option 3)

NAB

This option is incorrect

Option 4)

NABR

This option is incorrect

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