PHYS 422 Lecture 6 EM Theory II

PHYS 422 Lecture 6 EM Theory II - Electromagnetic Theory...

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lectromagnetic Theory Electromagnetic Theory, hotons and Light II Photons, and Light II

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Maxwell’s Equations G G 0 = S S d B = q S d E 1 G G Gauss’s Gauss’s In vacuum ree space) [ ] = S d B t d l d E G G G G S 0 ε Faraday’s (free space) A C dt Ampère- axwell’s + = S d E J l d B G G G G G 0 0 μ Maxwell s A C t + Lorentz force: G G G G = fields are defined through interaction with charges B v q E q F + Inside the media electric and magnetic fields are scaled. To account r that the free space permittivity d e replaced by d for that the free space permittivity 0 and 0 are replaced by and : 0 E K = dielectric constant, K E >1 0 M K = relative permeability
Maxwell’s Equations G G 0 = S S d B = q S d E 1 G G Gauss’s Gauss’s In matter [ ] = S d B t d l d E G G G G S ε Faraday’s A C dt Ampère- axwell’s + = S d E J l d B G G G G G μ Maxwell s A C t Lorentz force: G G G G = + fields are defined through interaction with charges B v q E q F + Why Magnetic Monopoles Microsoft Office erPoint 97-2003 P

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Maxwell’s Equations: Free Space, No Charges Current J and charge ρ are zero Integral form of Maxwell equations in free space: 0 = S S d B G G G G no magnetic ‘charges’ B d G G G G 0 = S S d E no electric charges changing magnetic field = A C S d dt l d E E G G G G creates curly electric field changing electric field = A C S d t l d B 0 0 ε μ There is remarkable symmetry between electric and magnetic fields! creates curly magnetic field
Maxwell’s Equations: Differential Form (free space) 0 = E G G Notation: k z j y i x ˆ ˆ ˆ + + G 2 2 2 0 = B G G B

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PHYS 422 Lecture 6 EM Theory II - Electromagnetic Theory...

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