Magnetic Boundary Conditions
 Calculating Magnetic Flux Density
Objective:
To find the magnetic flux density at a point due to a current flowing in an infinitely long wire. This is useful because it gives us a simple equation to use on the next page where we determine Ampère's Law. Ampère's Law is required to find the boundary conditions for magnetic fields.
Steps:
To find the total effect of the current at a point we need to find equations which will simplify the calculation. The most useful are the perpendicular distance between the wire and the point (a constant) and a relationship between the length of an element and the angle it makes with the point.
   
Combining the equations produces an integral with a simple solution.
 
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