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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