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In the figure, four long straight wires are perpendicular to the page, and their

ID: 1283461 • Letter: I

Question

In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length

a = 11.0 cm. Each wire carries 6.00 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3. In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4?

In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 11.0 cm. Each wire carries 6.00 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3. In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4?

Explanation / Answer

magnetic force on 4 =
F1+F2+F3
F1 = I1I2/2d = 2X10^-7 X 25 /0.11 = attractive

F2 = -2X10^-7X 25/0.155 = repullsive

f3 = 2X10^-7X25 / 0.11 = attractive.

Fnet = 2Fcos45 + F2 = 6.42 X10^-5 - 3.22 X 10^-5 = 2.2 X 10^-5 N

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