Connections Within MAG Unit
| This Concept | Connects To | How |
|---|---|---|
| Faraday's Law | Magnetic effects of current (MAG-01) | Changing B generates E; steady I generates B |
| Self-inductance | RC circuits (Electrostatics) | L↔C analogy: ½↔½; L opposes , C opposes |
| Motional EMF | Lorentz force (MAG-01) | F = qvB is the microscopic origin of motional EMF |
| Resonance | SHM (Mechanics) | LCR resonance ↔ mechanical resonance; ω_{0} = 1/√LC ↔ ω_{0} = √(k/m) |
Connections to Other Chapters
| Chapter | Connection | Concept |
|---|---|---|
| Current Electricity | AC circuits extend Ohm's law | Impedance Z generalizes resistance R |
| Electrostatics | Energy storage | U_C = ½ ↔ U_L = ½ |
| Mechanics (SHM) | LC oscillations are SHM | Charge oscillates between L and C like mass on spring |
| Optics (waves) | EM waves | Oscillating E and B fields — ultimate consequence of Faraday + Ampere |
| Modern Physics | Transformer in X-ray machine | Step-up transformer provides HV for X-ray production |
The Deep Connection: EM Waves
Maxwell unified Faraday's law (changing B → E) with Ampere's law (changing E → B). This self-sustaining loop of changing fields propagates through space as an electromagnetic wave — light itself. Faraday → Maxwell → Hertz → Radio, TV, WiFi, all from EMF = −dΦ/dt.