A set of wires arranged on the corners of a square of side length ? each carry a different current, as shown in the figure. The wire in the lower left corner carries a constant current ? in the ?-direction. The wire in the upper left corner carries a current ?⃗1=−??, the wire in the upper right corner carries a current ?⃗2=−10??, and the lower right wire carries a current ?⃗3=?2?.Determine the vector expression for the net magnetic force ?B→ per unit length ? on the lower left wire using ??? unit vector notation. Express your answer in terms of the permeability ?0 of free space, ?, ?, and numerical constants. A set of wires arranged on the corners of a square of sidelength s each carry a different current, as shown in thefigure. The wire in the lower left corner carries a constantcurrent I in the k-direction. The wire in the upper leftcorner carries a current I1 = -Ik, the wire in the upper%3Dright corner carries a current İ2 = -101 k, and the lowerIright wire carries a current I3 =-k.%3DDetermine the vector expression for the net magnetic forceFB per unit length L on the lower left wire using ijk unitvector notation. Express your answer in terms of thepermeability Ho of free space, s, I, andnumerical constants.L8.

Given data: I1→=-I k^ I2→=-10I k^ I3→=I2 k^

Answered: A set of wires arranged on the corners…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Sources Of The Magnetic Field

Section29.3: Ampere's Law

Problem 29.4QQ

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A set of wires arranged on the corners of a square of side length ? each carry a different current, as shown in the figure. The wire in the lower left corner carries a constant current ? in the ?-direction. The wire in the upper left corner carries a current ?⃗1=−??, the wire in the upper right corner carries a current ?⃗2=−10??, and the lower right wire carries a current ?⃗3=?2?.

Determine the vector expression for the net magnetic force ?B→ per unit length ? on the lower left wire using ??? unit vector notation. Express your answer in terms of the permeability ?0 of free space, ?, ?, and numerical constants.

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 I1 = -Ik, the wire in the upper
%3D
right corner carries a current İ2 = -101 k, and the lower
I
right wire carries a current I3 =-
k.
%3D
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 Ho of free space, s, I, and
numerical constants.
L
8.

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