Maxwell's Equations
受眾: University類別: Physics
簡介
All four Maxwell equations are displayed in integral form. Each equation is paired with a visual representation: Gauss's law with E field lines from a charge, no-monopole law with closed B loops, Faraday's law with a spinning magnet inducing current, and Ampere-Maxwell law with current producing a B field.
受此動畫啟發？
Maxwell's Equations
Description
All four Maxwell equations are displayed in integral form. Each equation is paired with a visual representation: Gauss's law with E field lines from a charge, no-monopole law with closed B loops, Faraday's law with a spinning magnet inducing current, and Ampere-Maxwell law with current producing a B field.
Phases
| # | Phase Name | Duration | Description |
|---|---|---|---|
| 1 | Gauss (E) | 3s | ∮E·dA = Q/ε₀ with E field lines from charge |
| 2 | Gauss (B) | 3s | ∮B·dA = 0 with closed magnetic loops |
| 3 | Faraday | 3s | ∮E·dl = -dΦ_B/dt with changing B → E |
| 4 | Ampere-Maxwell | 3s | ∮B·dl = μ₀I + μ₀ε₀ dΦ_E/dt |
| 5 | All Four | 3s | All equations displayed together |
Layout
+--------------------------------------------------+
| Maxwell's Equations |
| |
| (i) ∮E·dA = Q/ε₀ [E field visual] |
| (ii) ∮B·dA = 0 [closed B loops] |
| (iii)∮E·dl = -dΦ_B/dt [Faraday visual] |
| (iv) ∮B·dl = μ₀(I+ε₀∂Φ_E/∂t) [Ampere visual] |
| |
+--------------------------------------------------+
Area Descriptions
- Left column: equations in LaTeX
- Right column: visual diagrams for each law
Assets & Dependencies
- Fonts: LaTeX / sans-serif
- Manim version: ManimCE 0.19.1
Notes
- University level
- Integral form of Maxwell's equations
- Each equation appears with animation then paired visual