Two finite-length, concentric, cylindrical solenoids carry current in the same direction. The outer solenoid is very slightly

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Two finite-length, concentric, cylindrical solenoids carry current in the same direction. The outer solenoid is very slightly longer and has a very slightly larger radius than the inner solenoid, but their mid-planes are coincident. Determine if the inner solenoid is stable or unstable against a small displacement of its position in the axial direction. Repeat for the case of a small displacement in the transverse direction.

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