Question

Derive an expression for emf equation of single phase transformer.

Answer 1

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∅/dt

e=N(−d∅/dt∅msinwt)

=N∅mcoswt

w=−N∅m2πfcoswte

e=∅mN.2πsin(wt−π/2)

emax=N.∅m2πf

ERMS=emax/√2=4.44NN∅mf

Primary induced emt,

E1=4.44N1∅mf

E2=4.44N2∅mf

Hope it helps.....