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# Class12OK - Electromagnetic Waves Electromagnetic waves(EM...

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Unformatted text preview: Electromagnetic Waves Electromagnetic waves (EM wave): it is characterized by time varying electric field and magnetic induction (field) . In EM waves, these two fields are interdependent to each other. B r E r Maxwell’s Equations and = = = = J o o r ρ µ µ ε ε Maxwell’s Equations: in free space Integral form Differential form S d t B l d E C A r r r r ⋅ ∂ ∂ − = ⋅ ∫ ∫∫ t B E ∂ ∂ − = × ∇ r r (35b) (35a) t E B o o ∂ ∂ = × ∇ r r ε µ S d t E l d B C A o o r r r r ⋅ ∂ ∂ = ⋅ ∫ ∫∫ ε µ (36b) (36a) = ⋅ ∫∫ A S d E r r = ⋅ ∇ B r (37b) (37a) = ⋅ ∫∫ A S d B r r = ⋅ ∇ E r (38b) (38a) Electromagnetic Waves Electromagnetic waves (EM wave): it is characterized by time varying electric field and magnetic induction (field) . In EM waves, these two fields are interdependent to each other. B r E r E r field is generated by both electric charges and the time-varying magnetic field B r field is generated by both electric current and the time-varying electric field Basic Laws of Electromagnetic Theory: summaries the relationship between electric and magnetic field, and their relevance to the sources (electric charge and current) Flux (Fig. 3.3&3.4): flux of magnetic field through an area: Divergence of : Curl of : S d B A B A m r r ⋅ = ⋅ = Φ ∫∫ θ cos E r E r z E y E x E E z y x ∂ ∂ + ∂ ∂ + ∂ ∂ = ⋅ ∇ r ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ − ∂ ∂ + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ∂ ∂ − ∂ ∂ − ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ − ∂ ∂ = ∂...
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Class12OK - Electromagnetic Waves Electromagnetic waves(EM...

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