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Three infinite straight wires are fixed in place and aligned parallel to the z-a

ID: 2242929 • Letter: T

Question

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-21 cm, 0) carries current I1 = 2.2 A in the negative z-direction. The wire at (x,y) = (21 cm, 0) carries current I2 = 1.4 A in the positive z-direction. The wire at (x,y) = (0, 36.4 cm) carries current I3 = 7.1 A in the positive z-direction.


Please help and show work!

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-21 cm, 0) carries current I1 = 2.2 A in the negative z-direction. The wire at (x,y) = (21 cm, 0) carries current I2 = 1.4 A in the positive z-direction. The wire at (x,y) = (0, 36.4 cm) carries current I3 = 7.1 A in the positive z-direction.

Explanation / Answer

F12,x = -? i1 i2/2?d

= -4*3.14e-7*2.2*1.4/(2*3.14*0.42)

= -1.466*10^-6 N

F13,x = -? i1 i3 cos60/2?d

= -4*3.14e-7*2.2*7.1*0.5/(2*3.14*0.42)

= -3.719*10^-6 N

F = F12,x = + F13,

= -1.466 -3.719

=-5.185 *10^-6 N

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