EMF equation for 1ø transformer:-

Consider ac sinusoidal flux,

Ø=Øm sinwt

By faraday’s law of electromagnetic induction EMF induced is, for a single turn.

$e=\dfrac{-d\emptyset}{dt}$

For N, number of turn

$e=\dfrac{-Nd\emptyset}{dt} \\ e=N\bigg(\dfrac{-d\emptyset}{dt}\emptyset_m\sin wt\bigg) \\ =N \emptyset_m \cos wt \\ w=-N\emptyset_m2 \pi f \cos wt \\ e=\emptyset_mN.2 \pi \sin \bigg(wt-\dfrac \pi 2 \bigg) \\ e_{\max}=N.\emptyset_m2 \pi f \\ E_{RMS}=\dfrac{e_{\max}}{\sqrt2}=4.44 NN\emptyset_m f \\ \text{Primary induced emt,} \\ E_1=4.44N_1\emptyset_mf \\ E_2=4.44N_2\emptyset_mf$husus