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A Rowland ring of mean radius 15 cm has 3500 tums of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of 1.2 A?

Answer»

Solution :When toroidal space in a toroid is FILLED with some magnetic material, it becomes Rowland ring. Magnetic field inside this material is given by,
`B = munI`
`therefore B= mu_(R) mu_(0) ((N)/( 2PI r) ) I`
(Where, `N=` total no. of turns,
`mu_(r) =`Relative permeability,
`r=` Average radius of a toroid)
`therefore B= (800)(4pi xx10^(-7) ) ((3500)/( 2pi XX 0.15))(1.2)`
`therefore B = 4.48` T


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