Ampere's Law (Calculus) Video Lessons

Concept

Problem: A coaxial cable has two components: a thin wire at its center, carrying a current "forward", and a thin cylindrical shell surrounding the wire, carrying a current "backwards", with each current being the same magnitude. If the magnitude of the current was 1 A, and the cylindrical shell had a radius of 2 cm,  what is the magnitude of the magnetic field at (a) some distance r &lt; 2 cm from the inner wire and (b) some distance r &gt; 2 cm from the inner wire?

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A coaxial cable has two components: a thin wire at its center, carrying a current "forward", and a thin cylindrical shell surrounding the wire, carrying a current "backwards", with each current being the same magnitude. If the magnitude of the current was 1 A, and the cylindrical shell had a radius of 2 cm,  what is the magnitude of the magnetic field at (a) some distance r < 2 cm from the inner wire and (b) some distance r > 2 cm from the inner wire?