Physics Practice Problems Ampere's Law with Calculus Practice Problems Solution: A coaxial cable has two components: a thin wire at...

Solution: 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?

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 < 2 cm from the inner wire and (b) some distance r > 2 cm from the inner wire?