Figure shows a circularly symmetric system in which a moveable

Figure shows a circularly symmetric system in which a moveable

Figure shows a circularly symmetric system in which a moveable plunger (constrained to move only in the vertical direction) is supported by a spring of spring constant K = 5.28 N/m. The system is excited by a samarium-cobalt permanent-magnet in the shape of a washer of outer radius R3, inner radius R2, and thickness tm. The system dimensions are:
R1 = 2.1 cm, R2 = 4 cm, R3 = 4.5 cm, h = 1 cm, g = 1 mm, tm = 3 mm. The equilibrium position of the plunger is observed to be x = 1.0 mm.
a. Find the magnetic flux density Bg in the fixed gap and Bx in the variable gap.
b. Calculate the x-directed magnetic force pulling down on the plunger.
c. The spring force is of the form f spring = K (X0 – x). FindX0.

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