Figure shows the general nature of the slot-leakage flux produced by current i in a rectangular conductor embedded in a rectangular slot in iron. Assume that the iron reluctance is negligible and that the slot leakage flux goes straight across the slot in the region between the top of the conductor and the top of the slot.

a. Derive an expression for the flux density Bs in the region between the top of the conductor and the top of the slot.

b. Derive an expression for the slot-leakage ~s sits crossing the slot above the conductor, in terms of the height x of the slot above the conductor, the slot width s, and the embedded length 1 perpendicular to the paper.

c. Derive an expression for the force f created by this magnetic field on a conductor of length 1. In what direction does this force act on the conductor?

d. When the conductor current is 850 A, compute the force per meter on a conductor in a slot 2.5 cmwide.

Transcribed Image Text:

Air Iron B, Cross section of conductor cатying current i