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A toroidal solenoid has 3000 turns and a...

A toroidal solenoid has `3000` turns and a mean radius of `10cm`. It has a soft iron core of relative magnetic permeability `2000`. Find the magnitude of the magnetic field in the core when a current of `1.0amp.` is passed through the solenoid.

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The correct Answer is:
12
Here , `n = 3000/(2pir) , r= 10 cm = 0.1 m `
`mu_(r )= 2000 , `I = 1 amp , B = ?
`B = mu_(0)mu_(r )`ni
`= 4pi xx 10^(-7) xx 2000 xx 3000/(2pi xx 0.1)xx1 `
= 12 tesla .
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