Question

Derive the emf equation of single phase Transformer

Answer 1

Answer:

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=−d∅dt

For N, number of turn

e=−Nd∅dte=N(−d∅dt∅msinwt)=N∅mcoswtw=−N∅m2πfcoswte=∅mN.2πsin(wt−π2)emax=N.∅m2πfERMS=emax2–√=4.44NN∅mfPrimary induced emt,E1=4.44N1∅mfE2=4.44N2∅mf