O Macmillan Learning A set of wires arranged on the corners of a square of side lengths 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 ₁ = -Ik, the wire in the upper right corner carries =-81k, and the lower right wire carries a current a current 12 current 13 = 31 k. 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 μo of free space, s, I, and numerical constants. 1 FB L = 1, 1₁ I

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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ion 6 of 12
Macmillan Learning
A set of wires arranged on the corners of a square of side
lengths 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 ₁ = −1k, the wire in the upper right corner carries
a current 12 = -81k, and the lower right wire carries a
current 13
=
31
k.
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 μo of free space, s, I, and numerical constants.
FB
11
L
I
Transcribed Image Text:ion 6 of 12 Macmillan Learning A set of wires arranged on the corners of a square of side lengths 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 ₁ = −1k, the wire in the upper right corner carries a current 12 = -81k, and the lower right wire carries a current 13 = 31 k. 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 μo of free space, s, I, and numerical constants. FB 11 L I
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