Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. People in science and industry use coils like this to make regions where the net magnetic fields are relatively uniform (but not perfectly uniform). Let R = 0.13 cm, I = 20 A, and N = 290 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R = 0.13 cm. Calculate the resultant field B₂ at x₁ = 0.0325 cm, x₂ = 0.065 cm, x3 = 0.0867 cm, and 4 = 0.13 cm. Y. :00 R B₂ at ₁: B1= 4.012T B₂ at ₂: B2= 4.012T B₂ at 23: B3= 4.012T B₂ at 4: B4= -1T ·X
Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. People in science and industry use coils like this to make regions where the net magnetic fields are relatively uniform (but not perfectly uniform). Let R = 0.13 cm, I = 20 A, and N = 290 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R = 0.13 cm. Calculate the resultant field B₂ at x₁ = 0.0325 cm, x₂ = 0.065 cm, x3 = 0.0867 cm, and 4 = 0.13 cm. Y. :00 R B₂ at ₁: B1= 4.012T B₂ at ₂: B2= 4.012T B₂ at 23: B3= 4.012T B₂ at 4: B4= -1T ·X
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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I have gotten the first 3 but the last one is the same distance as the radius and requires different math. Could you please explain what to do with this?

Transcribed Image Text:Helmholtz Coils
Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. People in
science and industry use coils like this make regions where the net magnetic fields are relatively uniform (but not perfectly uniform). Let R = 0.13 cm,
I = 20 A, and N = 290 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R = 0.13 cm.
Calculate the resultant field B at x₁ = 0.0325 cm, x₂ = 0.065 cm, x3 = 0.0867 cm, and 4 = 0.13 cm.
:00
R
B at 1:
B1= 4.012T
B at ₂:
B2= 4.012T
B₂ at 3:
B3= 4.012T
B at 4:
B4= -1T
-X
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