Which statement is correct for the phenomenon | vedclass

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(C) The magnetic flux linked with a rotating coil is given by $\phi = BA \cos(\omega t)$,where $\omega$ is the angular speed of rotation.According to

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Phase difference between induced emf and linked flux is $\pi / 2$.

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(C) The magnetic flux linked with a rotating coil is given by $\phi = BA \cos(\omega t)$,where $\omega$ is the angular speed of rotation.According to Faraday's law of induction,the induced emf $E$ is given by $E = -\frac{d\phi}{dt}$.$E = -\frac{d}{dt}(BA \cos(\omega t)) = -BA(-\omega \sin(\omega t)) = BA\omega \sin(\omega t)$.We can rewrite this as $E = BA\omega \cos(\omega t - \pi / 2)$.Comparing the phase of the flux $\phi$ (which is $\omega t$) and the phase of the induced emf $E$ (which is $\omega t - \pi / 2$),the phase difference is $\pi / 2$.Therefore,the induced emf lags behind the magnetic flux by $\pi / 2$.

Which statement is correct for the phenomenon of periodic electromagnetic induction?

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