Fermat's Library
@fermatslibrary · Mar 6, 2024
How to derive Electromagnetic Waves from Maxwell's eq.
1)∇.B = 0
2)∇.E = 0
3)∇xE = -∂B/∂t
4)∇xB = μ₀ε₀∂E/∂t
Using ∇x(∇xA) = ∇(∇⋅A)-∇²A for E & B
∂²E/∂t² = 1/μ₀ε₀∇²E
∂²B/∂t² = 1/μ₀ε₀∇²B
E and B obey the wave eq. with c = √1/μ₀ε₀💡!
Elon Musk
@elonmusk
These equations are incredibly profound
07:17 PM · March 6, 2024 · 67.8K views
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