Maxwell's Equations

Discussion

introduction

integral forms

∯ E · dA =  Q   (Gauss's Law)
ε0  
∯ B · dA =  0   (No One's Law)
 
E · ds =  −  dΦ B   (Faraday's Law)
dt  
B · ds =  μ0ε0  dΦB  + μ0I   (Ampère's Law)
dt  

differential forms

∇ · E =  ρ   (Gauss's Law)
ε0  
∇ · B =  0   (No One's Law)
 
∇ × E =  −  dB   (Faraday's Law)
dt  
∇ × B =  μ0ε0  E  + μ0 J   (Ampère's Law)
t  

tensor notation

μFμν = jν

text

  1. Gauss's Law
  2. No One's Law
  3. Faraday's law
  4. Ampère's law