How current can create a magnetic field

This lecture is based on HRW, Sections 30.1. It covers some ways in which one can calculate the magnetic field created by a current running through a wire.

There are many similarities between the electric and magnetic fields -- you will see them here, and in future weeks.
Magnetic fields can be created by current moving through a conductor.
The Biot-Savart Law describes the magnetic field due to a tiny section of current, at some distance away from the wire.
One can integrate the Biot-Savart Law all the way across a wire in order to calculate the total magnetic field it generates. The integral may be complicated and difficult.

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