A wire bent in some arbitrary shape carries a current The

Chapter , Problem 26

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A wire bent in some arbitrary shape carries a current 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 to some other arbitrary point on the wire (designated as is where is the vector from point to point 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 wire carrying the same current and connecting the two endpoints of the arbitrary section.

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