Magnetostatics. Calculate the magnetic flux density.

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SUMMARY

The discussion focuses on calculating the magnetic flux density (B) at a specific point P due to a long, thin, flat metal plate carrying a uniform current I in the z-direction. The user suggests using the formula ∫B · dl = μI but questions whether the geometry of the plate can be simplified for easier calculation. The consensus indicates that transforming the geometry to a simpler equivalent, such as an infinite line of current, is a valid approach to determine the magnetic field at point P.

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Problem description:

A wery long, than and flat metal plate of width 2a carries the total current I in the z-direction. The current density is uniformely distributed over the metal plate. A point P of particular interest is also shown in the figure, where the point has the position r=ax+ay.

Figure: http://tinypic.com/view.php?pic=4htkyt&s=5

Task: Calculate the magnetic flux density at point P.

Question:

I think the appropriate formula to calculate the flux density is

[itex]\int B \cdot dl= \mu I[/itex]

But the current is spread over the x-axis, so can i change the metal plate into a easier geometry that has the identical magnetic field, or an easier way to calculate the MFD, so to say?
 
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Does this task maybe fit mor into the advanced forum?
 

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