In an AC generator,a coil with N turns,all of | vedclass

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(D) The magnetic flux $\phi$ linked with the coil at any time $t$ is given by $\phi = N B A \cos(\omega t)$.According to Faraday's law of electromagne

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$N.A.B.\omega$

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(D) The magnetic flux $\phi$ linked with the coil at any time $t$ is given by $\phi = N B A \cos(\omega t)$.According to Faraday's law of electromagnetic induction,the induced $emf$ is $e = -\frac{d\phi}{dt}$.Substituting the expression for $\phi$,we get $e = -\frac{d}{dt}(N B A \cos(\omega t))$.$e = -N B A \frac{d}{dt}(\cos(\omega t)) = -N B A (-\omega \sin(\omega t))$.$e = N B A \omega \sin(\omega t)$.The maximum value of $emf$ $(e_{\max})$ occurs when $\sin(\omega t) = 1$.Therefore,$e_{\max} = N B A \omega$.

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

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