Magnetic Field from Sheets of Current

AI Thread Summary
The discussion revolves around calculating the y-components of the net magnetic field at x = 5 cm due to two infinite sheets of current. Each sheet has a current density of 990 wires/m, with one carrying a current of 0.19 A in the +z direction and the other in the -z direction. The initial attempt used Ampere's Law but resulted in an incorrect solution, indicating a misunderstanding of how to apply the law to sheets rather than wires. A suggestion was made to consider the symmetry of the system, which may lead to a simplification in the calculation. The conversation emphasizes the importance of correctly applying magnetic field principles in the context of infinite sheets of current.
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Homework Statement



Two infinite sheets of current flow parallel to the y-z plane. The left-hand sheet, which intersects the x-axis at x = 0, consists of an infinite array of wires parallel to the z-axis with a density n = 990 wires/m and a current per wire of IL = 0.19 A in the +z direction. The right-hand sheet, which intersects the x-axis at x = a = 10 cm, is identical to the left-hand sheet, except that it has a current per wire of IR = 0.19 A in the -z direction.
https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/phys2112/summer/homework/Ch-26-B-Force-and-Fields/B-field-from-sheets/0805.gif
Calculate the y-components of the net magnetic field at x = 5 cm

Homework Equations



Ampere's Law: \muo*I/(2*pi*r)

The Attempt at a Solution



I thought I would only have to use Ampere's Law for each sheet, so my equation looked like this:
B = \muo(.19)/(2*pi*.05)
I multiplied this answer by two, since they have the same current and are the same distance away, but the solution was incorrect.

Any suggestions?
My only guess is that I'm treating it like a line rather than a sheet, but even if you take dB, it turns out to be the same equation.

Thanks in advance!
 
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B = 0
Look for symetry. I'll explain more later. Must sleep.
 
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