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An iron cored toroid has ring radius 7 c...

An iron cored toroid has ring radius 7 cm number of turns 500 . If 2 A current is passed through the wire , what will be the value of magnetic permeability of iron = 1500 .

Text Solution

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length of the circular axis of the ring
`2pir=2xx(22)/(7)xx7=44"cm"=0.44m`
`therefore` The number of turns per unit length of the toroid ,
`n=(500)/(0.44)m^(-1)`
`therefore` Magnetic field on the axis of the toroid ,
`B=munI=mu_(0)mu_(r)nl`
` =(4pixx10^(-7))xx1500xx(500)/(0.44)xx2= 4.28"Wb". m^(-2)`
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