Consider a short wire of length L, carrying a current I to the left. Define coordinates so that the wire is along the t axis, the current flows in the-i direction, the y axis is vertical in the plane of the page and the axis points out of the page. Which of the following expressions is an ap- proximate expression for the magnetic field at a point P on the g axis very close to the wire, i.e. a distance y

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Consider a short wire of length L, carrying
a current I to the left. Define coordinates so
that the wire is along the à axis, the current
flows in the - direction, the y axis is vertical
in the plane of the page and the 2 axis points
out of the page.
Which of the following expressions is an ap-
proximate expression for the magnetic field
at a point P on the y axis very close to the
wire, i.e. a distance y < L below the mid-
point of the wire?
1. B=
2(y2 + L2)
O 2. B 0
3. B Hol
2ny
Hol
4Vy2 + L²
4. B =
Hol
4Ty
5. B =
%3D
O 6. B=-00
O, B =
47 (y2 + L2)
8. B =
27 Vy? + L2
40IL
2ny?
9. B =
10. B – _ 40!
2ny
Transcribed Image Text:Consider a short wire of length L, carrying a current I to the left. Define coordinates so that the wire is along the à axis, the current flows in the - direction, the y axis is vertical in the plane of the page and the 2 axis points out of the page. Which of the following expressions is an ap- proximate expression for the magnetic field at a point P on the y axis very close to the wire, i.e. a distance y < L below the mid- point of the wire? 1. B= 2(y2 + L2) O 2. B 0 3. B Hol 2ny Hol 4Vy2 + L² 4. B = Hol 4Ty 5. B = %3D O 6. B=-00 O, B = 47 (y2 + L2) 8. B = 27 Vy? + L2 40IL 2ny? 9. B = 10. B – _ 40! 2ny
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