Engineering and Applied Sciences Applied Physics 216 Lecture 18: Lecture 18

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Ap 216_lecture 18 return to full me and full poynting"s theorem. Faradays law was the first observation that electric fields and magnetic fields are related to one another. Complete unification was realized by maxwell who noted that equations (1) are not consistent with local charge conservation, but they can be made so if. With this advance one immediately discovers new classes of electromagnetic fields that for all practical purposes appear to be decoupled from any charges or currents that may have given rise to them in the past. For example taking the curl of faraday"s law and substituting the new ampere maxwell equation gives. Taking the curl of ampere maxwell and again using faraday"s law tells us that coupled to the electric field in equation (5) there must be a magnetic field. 24 which coincides with the speed of light.

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