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

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Q. 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:

AIEEEAIEEE 2006Alternating Current

Solution:

The emf generated would be maximum when flux (cutting) would be maximum i.e., angle between area vector of coil and magnetic field is $0^°$. The emf generated is given by [as a function of time]
$e=NBA\omega\,cos\,\omega t$
$\Rightarrow e_{max}=NAB\omega$