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