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A long, cylindrical iron core of cross-s...

A long, cylindrical iron core of cross-sectional area `5.00 cm^2` is inserted into a long solenoid having 2000 tunres `m^(-1)` and carrying a current `2.00 A`. The magnetic field inside the core is found to be `1.57 T`. Neglecting the end effects, find the magnetization `I` of the core and the pole strength developed.

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