Derive the emf equation of a single phase transformer
Asked by admin @ in Physics viewed by 286 People
Derive an expression for emf equation of single phase transformer.
Answered by admin @
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.....
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