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When a wire carrying an electric current is placed in a magnetic field, each of the moving charges experiences the "Lorentz force". Together the force on each charge of the current creates a macroscopic force on the wire. The following equation results in the case of a straight, stationary wire and perpendicular magnetic field lines:
F=I⋅L X B, where the cross product (I⋅L) X B=
I⋅L⋅B⋅sin(Θ), and Θ is the angle between the current's velocity vector and the magnetic field lines.
More generally, the net force on a stationary, rigid wire carrying a steady current, I, is:
F=I∫ dL X B
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