MT9-RT1: PARALLEL CURRENT-CARRYING WIRES I-MAGNETIC FORCE ON WIRE In each case b

Question

MT9-RT1: PARALLEL CURRENT-CARRYING WIRES I-MAGNETIC FORCE ON WIRE In each case below, two or three very long straight wires are parallel to each other. 3 A. 2 A 2 A E 6 A Rank the strength (magnitude) of the total magnetic force on each of the labeled wires. Least Greatest 2 OR, the total magnetic force is the same (but not zero) for all of these wires. OR, the magnetic force is zero for all eight wires. be determined. OR, the ranking for the total magnetic force cannot Carefully explain your reasoning. 3 A 2 A

Explanation / Answer

F1 = k (3 x 2 /d) + k (3 x 6/3d) = 12k/d

F2 = k (3 x 2 /d) - k (2 x 6/2d) = 0

F3 = k (6 x 3 /3d) + k (2 x 6/2d) = 12 k/d

F4 = k (2 x 3 /d) = 6k/d

F5 = k (2 x 3 /d) = 6k/d

F6 = k (2 x 3 /d) - k (6 x 3 /3d) = 0

F7 = k (2 x 3 /d) + k (6 x 2 /2d) = 12 k/d

F8 = k (6 x 3 /3d) - k (6 x 2 /2d) = 6 k/d

F1 = F3 = F7 >F4 = F5 = F8 > F3 = F6

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