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A step down transformer converts transmi...

A step down transformer converts transmission line voltage from 2200 V to 220 V. Primary coil is having 5000 turns. Efficiency of transformer is 90% and output power is 8 kW. Evaluate number of turns in secondary coil and input power.

Text Solution

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`n_(P)=5000`
`E_(P)=2200V `
`E_(S)= 220V eta=90%`
`P_(O)= 8kW = 8000 W `
`eta= Efficiency = ("Output Power ") /("Input power ") = (E_(S)I_(S))/(E_(P)I_(P))`
`(90)/(100) = (220I_(s))/(2200I_(P)) `
`(I_(S))/(I_(P))= (n_(P))/(n_(S))= (5000)/(n_(S))`
`(90)/(100)= (220xx5000)/(2200n_(S))`
`eta_(s)= (220xx5000xx100)/(2200xx90)= 556` turns
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