Magnetostatics. Calculate the magnetic flux density.

AI Thread Summary
To calculate the magnetic flux density at point P due to a long, thin metal plate carrying a uniform current I in the z-direction, the appropriate approach involves using Ampère's law. The user questions whether the geometry of the metal plate can be simplified for easier calculations, suggesting a potential transformation to a more manageable shape while maintaining the same magnetic field characteristics. The discussion indicates a need for clarity on the application of magnetic field equations in this context. Additionally, there is uncertainty about whether this problem is suited for a more advanced forum. The focus remains on finding an effective method to compute the magnetic flux density at the specified point.
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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

\int B \cdot dl= \mu I

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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