Green’s Theorem & Maxwell

Inside and around

An interactive lesson with 8 steps, about 7 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• Green: circulation around a boundary = total curl inside.
• Divergence theorem: flux out of a boundary = total divergence inside.
• Maxwell’s equations are statements about divergence and curl of E and B.

Steps

1. Adding up tiny spins
2. Inner edges cancel
3. Circulation from area
4. Area by walking
5. Flux by divergence
6. Maxwell’s equations
7. Which equation?
8. Light from constants