A set of wires arranged on the corners of a square of side length s each carry a different current, as shown in the figure. The wire in the lower left corner carries a constant current I in the k-direction. The wire in the upper left corner carries a current Ì₁ = −I k, the wire in the upper right corner carries a current Ỉ₂ = −81 k, and the lower right wire carries a 1 31 current Ì3 = 2 Determine the vector expression for the net magnetic force FÅ per unit length L on the lower left wire using ijk unit vector notation. Express your answer in terms of the permeability µ of free space, s, I, and numerical constants. 1 L k. ||

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Chapter1: Units, Trigonometry. And Vectors
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A set of wires arranged on the corners of a square of side
length s each carry a different current, as shown in the figure.
The wire in the lower left corner carries a constant current I
in the k-direction. The wire in the upper left corner carries a
current Ì₁ = −I k, the wire in the upper right corner carries
a current Ī2 = −81 k, and the lower right wire carries a
current 13
31
=
2
Determine the vector expression for the net magnetic force
FB per unit length L on the lower left wire using ijk unit
vector notation. Express your answer in terms of the
permeability μ of free space, s, I, and numerical constants.
FB
L
k.
=
Transcribed Image Text:A set of wires arranged on the corners of a square of side length s each carry a different current, as shown in the figure. The wire in the lower left corner carries a constant current I in the k-direction. The wire in the upper left corner carries a current Ì₁ = −I k, the wire in the upper right corner carries a current Ī2 = −81 k, and the lower right wire carries a current 13 31 = 2 Determine the vector expression for the net magnetic force FB per unit length L on the lower left wire using ijk unit vector notation. Express your answer in terms of the permeability μ of free space, s, I, and numerical constants. FB L k. =
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