1. §5.2: Formulations of Magnetostatics
Christopher Crawford
PHY 417

2. Outline Ampère’s law Pseudo-derivation / application – straight wire
Example – current sheet septum
Example – infinite solenoid
5 formulations of Magnetostatics
Review – electrostatics FLUX FLOW
Vector potential A
Divergence and curl of B
Integrals – flux and flow

3. Ampère’s law on a straight wire
Andre Marie Ampère shows that parallel currents attract and antiparallel currents repel
Integral field equation – Ampère’s law
Differential field equation – also Ampère’s law

4. Example 5.8: current septum
Similar to Ch. 2: plane charge

5. Example 5.9: infinite solenoid

6. 5 Formulations of Magnetostatics
Electrostatics
Magnetostatics

7. Magnetic vector potential A
Derivation A from Biot-Savart law
Divergence of A

8. Div. and curl of B Divergence – Gauss-like law
Curl – vector Poisson equation –> Ampère’s law