A square coil of wire containing a single turn is placed in a uniform 0.25 T mag
ID: 1284187 • Letter: A
Question
A square coil of wire containing a single turn is placed in a uniform 0.25 T magnetic field, as the drawing shows. Each side has a length of 0.34 m, and the current in the coil is 12 A. Determine the magnitude of the magnetic force on each of the four sides.
A square coil of wire containing a single turn is placed in a uniform 0.25 T magnetic field, as the drawing shows. Each side has a length of 0.34 m, and the current in the coil is 12 A. Determine the magnitude of the magnetic force on each of the four sides.Explanation / Answer
Denote the sides as follows:
The bottom side is a, the left side is b, top is c, and right is d.
The trick here is to use F = ILBsin? on each side.
For sides b and d, the force will be 0 since ? = 0.
For a and c,
F = ILBsin?
F = ILB
F = (12 A)(0.34)(0.25)
F = 1.1 N
Note the directions of the force on a and c will be different since the current travels in opposite ways for each side relative to the magnetic field.
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