Two infinite wires have position vectors in the xy-plane ₁ = (a, b) and ₂ = (-a, b) with correspondingcurrents i and i2, respectively, let the unit vector associated with the wire element lie in the 2 direction.Analyze and solve the following problems in the xy-plane (i.e. z = 0):1) Draw a picture representing the above scenario including the angles between the positionvectors of the wires and the x-axis2) Determine a value for the cosine and sine of the angles in part 1) in terms of the given co-ordinatesDetermine the distance of the wires from the origin in terms of the given coordinatesDetermine the unit vectors pointing from the 2 wires to the origin (label them ₁ and 2) in termsof the cosine and sine found in part 25) Determine the unit vector of the magnetic field at the origin from both wires (call them andB₂)6) Determine the magnetic field at the origin from both wires (call them B₁ and B₂), and drawthese vectors on the diagram from part 1)7) Determine the total magnetic field at the origin, B8) If i₁ = 1₂ determine appropriate values for the position vector components for the total field tobe zero at the origin.3)4)

Two infinite wires have position vectors in the xy-plane r₁ = (a, b) and 72 = (-a, b) with corresponding currents i and i, respectively, let the unit vector associated with the wire element lie in the 2 direction. Analyze and solve the following problems in the xy-plane (i.e. z = 0): 1) Draw a picture representing the above scenario including the angles between the position vectors of the wires and the x-axis 2) Determine a value for the cosine and sine of the angles in part 1) in terms of the given co- ordinates 3) Determine the distance of the wires from the origin in terms of the given coordinates

Two infinite wires have position vectors in the xy-plane r₁ = (a, b) and 72 = (-a, b) with corresponding currents i and i, respectively, let the unit vector associated with the wire element lie in the 2 direction. Analyze and solve the following problems in the xy-plane (i.e. z = 0): 1) Draw a picture representing the above scenario including the angles between the position vectors of the wires and the x-axis 2) Determine a value for the cosine and sine of the angles in part 1) in terms of the given co- ordinates 3) Determine the distance of the wires from the origin in terms of the given coordinates

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

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Two infinite wires have position vectors in the xy-plane ₁ = (a, b) and ₂ = (-a, b) with corresponding
currents i and i2, respectively, let the unit vector associated with the wire element lie in the 2 direction.
Analyze and solve the following problems in the xy-plane (i.e. z = 0):
1) Draw a picture representing the above scenario including the angles between the position
vectors of the wires and the x-axis
2) Determine a value for the cosine and sine of the angles in part 1) in terms of the given co-
ordinates
Determine the distance of the wires from the origin in terms of the given coordinates
Determine the unit vectors pointing from the 2 wires to the origin (label them ₁ and 2) in terms
of the cosine and sine found in part 2
5) Determine the unit vector of the magnetic field at the origin from both wires (call them and
B₂)
6) Determine the magnetic field at the origin from both wires (call them B₁ and B₂), and draw
these vectors on the diagram from part 1)
7) Determine the total magnetic field at the origin, B
8) If i₁ = 1₂ determine appropriate values for the position vector components for the total field to
be zero at the origin.
3)
4)

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