1. This small group activity is designed to help students practice using the symmetry arguments necessary for Ampere's Law.
  2. Students are asked to find the magnetic field using Ampere's Law for radially-varying steady current distributions inside a cylindrical shell and to make explicit symmetry arguments using Proof by Contradiction as part of their solution.
  3. The compare and contrast wrap-up discussion focuses on the fact that all examples have zero field inside the shell; smooth and continuous, but different answers within the shell; and look like an infinitesimally thin wire outside the shell.

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