In the figure, five long parallel wires in the xy plane are separated by distanc

Question

In the figure, five long parallel wires in the xy plane are separated by distance d = 7.96 cm, have lengths of 10.0 m, and carry identical currents of 2.78 A out of the page. Each wire experiences a magnetic force due to the other wires. What is the magnitude of the net magnetic force on (a) wire 1, (b) wire 2, (c) wire 3, (d) wire 4, (e) wire 5? 2 5 Units N (a) Numberll5.22e-4 (b) Number 1.62e-4 (c) Numbeo (d) Number-1.62e-4 (e) NumberTT-5.22e-4 the tolerance is + /-2% Units N Units N Units N Units N

Explanation / Answer

A) Force on wire 1 is,

F = (uo I2l/ 2 pi)(1/d + 1/2d + 1/3d + 1/4d)

=> F = (25 uoI2l)/ 24 pi d

=> F = (25 x 4 pi x 10-7 x 2.782 x 10) / (24 x pi x 0.0796) = 4.045 x 10-4 N

D) F4 = F2 = 1.62 x 10-4 N

E) F5 = F1 = 4.045 x 10-4 N

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