Maxwell’s Equations and Electromagnetic Waves

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Presentation transcript:

Maxwell’s Equations and Electromagnetic Waves

Setting the Stage - The Displacement Current Maxwell had a crucial “leap of insight”... Will there still be a magnetic field around the capacitor?

A Beautiful Symmetry... A changing magnetic flux produces an Electric field A changing electric flux produces a Magnetic field

An extension of Ampere’s Law... Maxwell reasoned that Ampere’s Law would also apply to the displacement current. Clever application of Gauss’ Law here!

Maxwell’s Equations (first glimpse) Faraday’s Law: Ampere’s Law:

Moving Fields… Moving E-Field leads to… Moving B-Field leads to…

It’s Alive! Well, at least it’s a wave! Combining the last two equations leads us to: example - consider the electric field part of an electromagnetic wave described by:

Radiation Pressure and the Poynting Vector Light waves (and all electromagnetic waves) carry energy A wave has an intensity Poynting Vector