1. A square loop (with dimensions shown below) is placed between two fixed infinite wires, at a distance x from wire 1. They are all on the same surface (XY plane), with the loop free to move without friction. Ignore the effect of the magnetic field produced by the 1A source. The system is in free space. 2m 1m 1A X wire 1 wire 2 a) Find the net force (amplitude and direction), on the loop as a function of i2 and x, if i₁ = 0 and i2 > 0. b) Determine x to achieve a null net force on the loop when i2 = 5A and i₁ = 2A.

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1.
A square loop (with dimensions shown below) is placed between two fixed infinite wires, at a distance x from
wire 1. They are all on the same surface (XY plane), with the loop free to move without friction. Ignore the effect
of the magnetic field produced by the 1A source. The system is in free space.
2m
1m
1A
X
wire 1
wire 2
a)
Find the net force (amplitude and direction), on the loop as a function of i2 and x, if i₁ = 0 and i2 > 0.
b) Determine x to achieve a null net force on the loop when i2 = 5A and i₁ = 2A.
Transcribed Image Text:1. A square loop (with dimensions shown below) is placed between two fixed infinite wires, at a distance x from wire 1. They are all on the same surface (XY plane), with the loop free to move without friction. Ignore the effect of the magnetic field produced by the 1A source. The system is in free space. 2m 1m 1A X wire 1 wire 2 a) Find the net force (amplitude and direction), on the loop as a function of i2 and x, if i₁ = 0 and i2 > 0. b) Determine x to achieve a null net force on the loop when i2 = 5A and i₁ = 2A.
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