TEXT FOR REFERENCE: In Figure 28.17, a rectangular current loop is carrying curr
ID: 1302613 • Letter: T
Question
TEXT FOR REFERENCE:
In Figure 28.17, a rectangular current loop is carrying currentI1 = 3.0 A, in the direction is located near a long wire carrying a current Iw. The long wire is parallel to the sides of the rectangle. The rectangle loop has length 0.80 m and its sides are 0.10 m and 0.70 m from the
wire. If the net force on the loop is to have magnitude 4.9 x 10-6 N and is to be directed towards the wire, what must be the (a) magnitude and (b) direction (from top to bottom or
from bottom to top in the sketch) of the currentIw in the wire? (NOTE:
Explanation / Answer
The net force will only be from the portions of the loop that are parallel to the wire. The top and bottom horizontal components will not factor in since they are perpendicular to the wire
The formula to apply is F = uIIL/2pi(r)
To be an attractive force, the left side of the loop is attracted and the right side is repelled.
F = uIIL/2pir - uIIL/2pir)
4.9 X 10-6 = [(4pi X 10-7)(3)(I)(.8)/2pi][1/.1 - 1/.7)
I = 1.19 Amps from bottom to top
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