Question

A wire bent in some arbitrary shape carries a current I. The wire is in a region with a uniform magnetic field . Show that the total force on the part of the wire from some arbitrary point on the wire (designated as a) to some other arbitrary point on the wire (designated as b) is   = I ✕ , where is the vector from point a to point b. In other words, show that the force on an arbitrary section of the bent wire is the same as the force on a straight section of wire carrying the same current and connecting the two endpoints of the arbitrary section.

Answer 1

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