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There is a solenoid (infinitely long) that is filled with a ferromagnetic material. The magnitization, N...

There is a solenoid (infinitely long) that is filled with a ferromagnetic material. The magnitization, N is uniform and is parallel to the axis of the solenoid. Made out of a nonmagnetized material there is a conducting oval loop. I put the loop around the solenoid. Find the mutual inductance of the solenoid and the loop. I remove the magnetic core. Find the mutual inductance of the solenoid and the loop.

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