An electromagnet is used to support a solid pieceof steel.Aforce of 10,000 N is required to support the weight. The cross-sectional area of the magnetic core (the fixed part) is 0.01 m2.The coil has 1,000 turns. Determine the minimumcurrent that can keep the weight from falling forx = 1.0 mm. Assume negligible reluctance for the steelparts and negligible fringing in the air gaps.
An
of steel.Aforce of 10,000 N is required to support the weight. The cross-sectional area of the magnetic core (the fixed part) is 0.01 m2.
The coil has 1,000 turns. Determine the minimum
current that can keep the weight from falling for
x = 1.0 mm. Assume negligible reluctance for the steel
parts and negligible fringing in the air gaps.
Given Data:
The force required to support the weight is, F=10,000 N
The cross-sectional area of the magnetic force is, A=0.01 m2
The number of turns on the coil is, N=1000
The displacement is, x=1.0 mm
The expression for the current for a force to require the support is,
Here, ϕ is the magnetic flux, and Rgap is the variable reluctance of the air gap.
The variable reluctance of the air gap is calculated as,
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