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Ampere's Law Problem

  1. Apr 9, 2005 #1
    The question is:

    Between two long parallel cylinders of radius "a" and "b" (non-coaxial) and an axal separation of "c", a steady current of "I" flows. (See attachment below) Show that the inner cylinder (radius "a") has a constant magnetic field. Use Ampere's Law. Indicate all steps clearly. [Hint: 0 = 1 + (-1)]

    Attached Files:

  2. jcsd
  3. Apr 10, 2005 #2

    Andrew Mason

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    You have to use the principle of superposition. Work out the field for the large cylinder having a uniform current density (ie. uniform over its cross-sectional area) using Ampere's law; then work out the field for the small cylinder with a current flowing in the opposite direction with a cross-sectional density that that is the same magnitude (but opposite in direction) to that of the larger cylinder. Superimpose the two (add the field vectors).

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