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A very long solenoid is made out of a wire with n turns per unit...

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A very long solenoid is made out of a wire with n turns per unit length The radius of the cylinder is a and is negligible compared to its length 1 The interior of the cylinder is filled with materials such that the linear magnetic permeability varies with the distance r from axis according to r H constant for 0 r b H constant for b r a The self inductance of the solenoid is a n b b b a c 1 b a b d n b a

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