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A power transmission line feeds input p...

A power transmission line feeds input potential at 2200 V to a step down transformer with its primary winding having 3000 turns. Find the number of turns in secondary to get the power output at 220 V.

Text Solution

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When AC voltage is applied to primary coil the resulting current produces an alternating magnetic flux, which links the secondary, coil.
The induced emf, in the secondary coil, having N(rums, is
`e_(p)=-N_(s)(dphi)/(dt)`
This flux, also induced an emf, called back emf, in the primary coil.
`e_(p)=-N_(p)=(dphi)/(dt)`
But `e_(p)=v_(P)`
and `e_(s)=V_(s)`
`implies(V_(s))/(V_(p))=(N_(s))/(N_(p))`
Fro an ideal tranformer
`I_(p)V_(p)=i_(s)v_(s)`
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