In the figure 29-49, four long straight wires are perpendicular to the page, and
ID: 2224289 • Letter: I
Question
In the figure 29-49, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 7.30 cm. Each wire carries 14.5 A, and all the currents are out of the page. What is the magnitude of the net magnetic force per unit length on wire 1?
In the figure 29-49, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 7.30 cm. Each wire carries 14.5 A, and all the currents are out of the page. What is the magnitude of the net magnetic force per unit length on wire 1?Explanation / Answer
Fx/L = F2 + cos45*F3
= (i1/2) * {(i2/a) + (2/2) (i3/(2a))}
= (i1/2a) * (i2 + i3/2)
= (4*3.14e-7*14.5/(2*3.14*0.0730)) * (14.5 + 14.5/2)
= 8.64 * 10^-4 N/m
Fy/L = -F4 - cos45*F3
= -(i1/2) * {(i4/a) + (2/2) (i3/(2a))}
= -(i1/2a) * (i4 + i3/2)
= -(4*3.14e-7*14.5/(2*3.14*0.0730)) * (14.5 + 14.5/2)
= -8.64 * 10^-4 N/m
>>>> F = ((Fx)2+(Fy)2) = 2 * 8.64 * 10^-4 = 12.2 * 10^-4 N/m
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