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A Rowland ring of mean radius 15cm has 3...

A Rowland ring of mean radius `15cm` has `3500` turns of wire wound on a ferromangetic core of relative permeability `800`. What is the magnetic field B in the core for a magnetising current of `1*2A`?

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Here, `r=15cm=15xx10^-2m`, `N=3500`, `mu_r=800`, `I=1*2A`, `B=?`
Number of turns/length, `n=(N)/(2pir)=(3500)/(2pixx15xx10^-2)`
`B=mu_0mu_rnI=4pixx10^-7xx800xx(3500xx1.2)/(2pixx15xx10^-2)=4.48T`
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