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For Ampere's law to yield the field directly, the Amperian path must be chosen so that

  • A.it encloses as much current as possible
  • B.it passes through the conductor carrying the current
  • C.it lies entirely within a region of uniform permeability
  • D.the field is constant along it and either parallel or perpendicular to it

Answer: D

The dot product then becomes a constant magnitude times a length, and the field can be solved for. Where the field is perpendicular to the path the contribution vanishes, which disposes of the unwanted portions of a rectangular path.

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