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Two infinite wires have position vectors in the xy-plane = (a, b) and 72 = (-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 3) Determine the distance of the wires from the origin in terms of the given coordinates 4) Determine the unit vectors pointing from the 2 wires to the origin (label them 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 band 6₂) 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 i₁i₂ determine appropriate values for the position vector components for the total field to be zero at the origin.

Two infinite wires have position vectors in the xy-plane = (a, b) and 72 = (-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 3) Determine the distance of the wires from the origin in terms of the given coordinates 4) Determine the unit vectors pointing from the 2 wires to the origin (label them 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 band 6₂) 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 i₁i₂ determine appropriate values for the position vector components for the total field to be zero at the origin.

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I ONLY NEED HELP WITH #4-8.

PLEASE DO NOT COUNT #1-3 AGAINST ME.

Thank you!

Two infinite wires have position vectors in the xy-plane₁ = (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 3) Determine the distance of the wires from the origin in terms of the given coordinates 4) Determine the unit vectors pointing from the 2 wires to the origin (label them f₁ 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 b₁ 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.
Transcribed Image Text:Two infinite wires have position vectors in the xy-plane₁ = (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 3) Determine the distance of the wires from the origin in terms of the given coordinates 4) Determine the unit vectors pointing from the 2 wires to the origin (label them f₁ 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 b₁ 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.
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