Three infinite planes current sheets problem

  • #1
Three infinite planes current sheets, each of a uniform current density, exist in the coordinate planes of a Cartesian coordinate system. The magnetic flux density due to these current sheets are given at three points as follows: at (1,5,3), = 0( + 2), at (6, -1,2), = 0(− +
2 + ) , at (1,2,-2), = 0( + 2) . Let the current densities on the , , on the x=0,y=0 and z=0 planes, respectively.
Find the magnetic flux density at the following points:
a/ (-1,1,4)
b/ (-1,-2,-4)

Really need help with this one, I have no idea where to start. I'm confident with vectors, though, but what about this problem? I've only read how to deal with one plane of current sheet.
 

Answers and Replies

  • #2
Baluncore
Science Advisor
2019 Award
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It is clear that the OP here is missing critical information.

There is a similar question on the web.
"Magnetic flux density due to three plane current sheets".
Three infinite plane current sheets, each of a uniform current density, exist in the coordinate planes of a Cartesian coordinate system. The magnetic flux densities due to these current sheets are given at three points as follows:
at (1, 2, 3), B = 3 Bo ax
at (7, -5, 6), B = Bo( -ax + 2az)
at (8, 9, -4), B = Bo( ax + 2ay ).

Find the magnetic flux densities at the following points:
(a) (-6, -2, -3);
(b) (-4, -5, 7); and
(c) (6, -3, -5).

The first thing to note is that the magnitude of B due to a current sheet of infinite extent is constant throughout space, but that the sign changes when crossing the sheet.
 

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