In the figure, a long straight wire carries a current i 1 = 24.2 A and a rectang

Question

In the figure, a long straight wire carries a current i1 = 24.2 A and a rectangular loop carries current i2 = 15.9 A. Take a = 1.19 cm, b = 10.9 cm, and L = 40.1 cm. What is the magnitude of the net force on the loop due to i1?

Your answer is partially correct. Try again. In the figure, a long straight wire carries a current i1 = 24.2 A and a rectangular loop carries current i2 = 15.9 A. Take a = 1.19 cm, b = 10.9 cm, and L = 40.1 cm. What is the magnitude of the net force on the loop due to i1?

Explanation / Answer

The net force will only be between the wire and the parallel sides of the wire. The perpendicular sides will cancel out

The top edge of the loop will be attracted since the currents are in the same direction, the botton will be repelled.

Apply F/L = uII/2pi(r) for each portion

F = (4pi X 10^-7)(24.2)(15.9)(.401)/(2pi)(.0119) - (4pi X 10^-7)(24.2)(15.9)(.401)/(2pi)(.1209)

F = 2.22 X 10^-3 N

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