Divergence, curl, line integrals, and surface integrals
🎯 Hook
💡 Intuition
📚 Theory
🎮 Playground
💻 Code
🔧 Debug
✏️ Practice
The Field Mystery
Why does your phone compass work but you cannot buy a single magnetic charge?
The answer lies in understanding how fields spread and rotate - the mathematics of divergence and curl.
The Challenge: What Makes Fields Different?
Electric fields radiate outward from charges. Magnetic fields wrap around currents. How do we mathematically describe these fundamentally different behaviors?
What mathematical property distinguishes these field types?
Try it! Click the field type buttons to see different vector field behaviors, then answer the question!