Force on a Current Carrying Wire. A wire carrying 5.0A lies on a horizontal surf

Question

Force on a Current Carrying Wire. A wire carrying 5.0A lies on a horizontal surface in the xy- plane, One end of the wire is at the origin (Om, 0m,Om) and the other is at (3m.4m.0m)). The wire follows an erratic path from one end to the other. A magnetic field is present and of magnitude 04 r directed vertically downward (B-- -0,4kn What magnetic force acts on the wire? Hint: Break the path into tiny steps dx to the right (eastward) and dy northward, such that dl -(3.0i+4.0j+0.0km. 2. (8 points)

Explanation / Answer

We know magnitude of magnetic force is given as

F=ILB sin heta

F=0.4*5*(3i -4 j)

F=2*sqrt{4^2+3^2}=10 N

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