solid sphere of radius b - p. The permanent magnet allel to its axis. The sphe- e. Calçulate the maximum
solid sphere of radius b - p. The permanent magnet allel to its axis. The sphe- e. Calçulate the maximum
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A long permanent magnet in the shape of right circular cylinder of length L and
radius a is used to lift a small solid sphere of radius b (b<<a, b<<L) with magnetic
permeability u and mass density p. The permanent magnet has magnetization M, uniform
throughout its volume and parallel to its axis. The sphere is initially resting on a flat
horizontal non-magnetic surface. Calculate the maximum vertical distance d between the
center of the sphere and the pole of the magnet at which the magnet can lift the sphere
(writing down algebraic equation for d constitutes solution of the problem). Calculate the
terminal velocity of the sphere as it hits the pole of the magnet that is distance d above
the center of the sphere.
Expert Solution
Step 1
Given:
Radius is b (b<<a,b<<L).
To calculate the maximum vertical distance between sphere centre and magnet's pole and terminal velocity of sphere.
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