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)
Reading:
GVC
§
Derivation of the Biot Savart Law from Magnetic Vector Potential
–
Compare A and B for a Spinning Ring
In-class Content
Derivation of the Biot-Savart Law from Magnetic Vector Potential (lecture - 15 min)
Magnetic Field Due to a Spinning Ring of Charge
(
SGA
- 50 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 $\vec J$.
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