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# Magnetic Fields

## Prerequisites

**Cross Product**(for right hand rule stuff and in Biot-Savart)**Line Integrals**(for using the Biot-Savart Law for linear current densities)**Surface and Volume Integrals**(optional) (for surface and volume current densities)**Electrostatic Potential & Electric Field for a Ring of Charge**(for comparison with the spinning ring)

## In-class Content

- Derivation of the Biot-Savart Law from Magnetic Vector Potential (lecture - 15 min)
- (
*optional*) Comparing B and A for spinning ring (class discussion/lecture - 15 min)**Note:**Curl is needed for 3 different ideas in this class: Conservative Work, Going from $\vec A$ to $\vec B$, and getting from $\vec B$ to $\vec J$.