Chapitre 12 :L`énergie électromagnétique
Transcription
Chapitre 12 :L`énergie électromagnétique
T his work is licensed under a Creative Commons “Attribution-ShareAlike 4.0 International” license. τ ! τ = = ε% $ & ! # " + µ% τ' = " ( ' ) * " " + ' , ( ' . , . / ! Σ & & Σ =− / ⋅ Σ + =π / σ τ - = −σ " 0 =− π⋅ Σ − τ , ∂ ∂ + ∇ ⋅π = − Ismaël Bouya http://melusine.eu.org/syracuse/immae/ ' , 1 / • " - & ' • - " ' 2 • )& " • 3 δ + 2 τ' =− 2 / & ) 3 = / = ⋅ = τ # + ∧ ⋅ = ∈ τ ) = 4 ⋅ τ = ⋅ ∈ τ = ⋅ ' 5 • / =σ ' ) =σ = > %" ) σ 6 373 & ' 8 . • < 3 >= ( ( ) ⋅ : = σ ≈σ%" - < " 9 = ' 9 " ; ωτ << " 6 373 / # = " >= ⋅ : ( #σ = σ% ( #σ " τ << ' = # σ% & && σ= σ% ' − ωτ = < = 3 ; ωτ >> " σ = #> " 1 σ% " ωτ < >= %' & 3 & & + / & + ? ' • )& π π= / • / δ " + ∂ ∂ =π ⋅ + ∇ ⋅π = − = ε% + µ% " = ⋅ ' " ∇ ⋅π = − ⋅ − ε % ⋅ =− ⋅ − =− = ( ⋅ ∇∧ µ% ⋅∇ ∧ µ% + µ% ⋅ ∂ ∂ − µ% )+ µ ⋅∇ ∧ % ⋅∇ ∧ ∇ ⋅# ∧ µ% "π= / ∂ − ∂ µ% ∧ µ% π= • ) 3 +∇∧ ' ∧ µ% " - & + " 7 & & & ' / ' 3 & " & <@ - =" ' 5 5 ? & - ' / δ =π ⋅ = ⋅ π= ) π = " ' ) / = ε% + ' µ% " " = ε% = µ% ' , & / / ! / = & ' ' τ= τ µ% =∇∧ ) = B ⋅∇ ∧ ) = / / µ% = ∇⋅# ∧ µ% τ ⋅∇ ∧ µ% + ⋅∇ ∧ ∇⋅# ∧ τ= ∇ ⋅# ∧ ! τ+ µ% - ⋅∇ ∧ µ% τ ∧ ⋅ " & +∞' A 4 > - ∝ " ) ∝ " ) ∝ " & + ' 7 & / = τ= τ ⋅ µ% τ' ⋅ ( 3 %' ⋅∇ ∧ µ% ) ' 0 " . ' 3 & 3 ) & 2 . (D ' = ε% " τ= ρ τ D ) E • / # ⋅ −ω ' " ) = %" " =% = / ' ω ' • F + 3 3 3 / 3 D ? . = '/ = ω= ν = ν τ = ' C • / = ε% • + ν= = 5 ? µ% ω • / π= / ∧ µ% • δ = π= / ) ) ' × ν = ν ' = 7 ' A ) • τ ν = ) τ • / τ × ν = = π ' + τ = π • 3 = µ% ∧ " + / τ = ε% ∧ " ! - ! ' " ' " ; . 9 " " 7 7 & " " - ! ' G 3 / 7& .@ && ' C ) σ #! = ! ∧ / σ #! = ! ∧ #ε % ∧ τ " , . φ = / ' & & $φ & + 7 ' ) = / τ= ⋅ ⋅ τ & & = "⋅ = ∇∧ ⋅ φ = ) • / 6 373 • #" " ' φ • ; $ & → ' . " # " ∆ & & & " & " =∆ & = ∆φ " ' , H & / =− π⋅ • 3 ;/ ∧ ⋅ µ% " = # = # 3 ) − = σ' " % θ - " && I • # # µ% π + = + = # ) π= ) = " = σ' θ − # = ! 6 373 ' ! # σ µ% '#− µ% σ π ' × π' π' σ = ' = ρ' ) , / = (D = σ µ% ? σ ε% % θ π= µ% ∧ = − ε% σ σ " . " '