Coaxial cable

A coaxial cable consists of an inner solid cylindrical wire of radius \( 2 \, \text{mm} \) and an outer conducting hollow cylinder of radius \( 4 \, \text{mm} \), which each carry a current of magnitude \( 100 \, \text{mA} \). If the currents travel in opposite directions, what is the magnitude of the magnetic field outside of the cable a distance \( 1 \, \text{cm} \) measured perpendicularly from the central axis of the inner wire?

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