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QuickNotes™ 
Magnetic Force on a Current Carrying Conductor
- A magnetic field exerts a force on a conductor carrying a current. If the wire is straight, and the field is uniform, the force is given by F = I L x B, where I is the current, L is a vector whose magnitude is the length of the conductor and whose direction is the same as the direction of the current, and B is the magnetic field vector.
- If the shape of the wire is arbitrary, the force on a segment ds of the wire is dF = I ds x B. The total force on the wire is obtained by integrating dF over the length of the wire.
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