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A relay is essentially an electromechanical switch that opens and closes electrical contacts. A simplified relay is represented in Figure. It is required to keep the fenomagnetic plate at a distance of 0.25 cm from the electromagnet excited by a coil of N = 5000 turns, when the torque is 10 N · m at a radius r = 10 cm. Estimate the current required, assuming infinitely permeable magnetic material and negligible fringing as well as leakage.
(a) Express the storedmagnetic energy Wm as a function of the flux linkage λ and the position x.
(b) Express the coenergy Wm as a function of the current i and the position x.
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