Ampere's law: Magnetic field due to a coaxial cable.

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• A coaxial cable consists of a wire of radius 'a' surrounded by a concentric conducting sleeve of inner radius 'b' and outer radius 'c'.

  
  --Answer
  
  when,
  r>c:
  by Ampere's circuital law (see figure):
  closed line integral [B.dl] =mu_o*(i(due to wire)-i(due to sleeve))
  => B*2*pi*r = 0
  => B = 0
  hence out side the sleeve magnetic field will be zero

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