1.

A toroid wound with 100 turns /m of wire carries a current of 3 A. The core of toroid is made of iron having relative magnetic permeability of mu_(r)= 5000 mu_(0) under given conditions. The magnetic field inside the iron is …........ (Tackle mu_0 = 4pi xx 10^(-7) T mA^(-1) )

Answer»

0.15 T
0.47 T
`1.5 xx 10^(-2) T`
`1.88 T`

Solution :Here `mu_(r) = 5000 mu_(0) `
`= 5000 xx 4pi xx 10^(-7)`
`H=i_(f) = nI_(f)`
`B= mu_(r) H""H= 100 xx 3 = 300 "Am"^(-1)`
`= 5000 xx 4 xx 3.14 xx 10^(-7) xx 300`
`= 60 xx 3.14 xx 10^(-2) = 188.4 xx 10^(-2)`
`therefore B ~~ 1.88 T`


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