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SOPHIA OF WISDOM III - ELECTROMAGNETIC WAVE
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THE LIBRARY OF SOPHIA OF WISDOM III
THE SOPHIA OF ALL SOPHIA OF WISDOMS
AKA
CAROLINE E. KENNEDY________________________
MARCH 18, 2007
The electromagnetic field as a feedback loop
The behavior of the electromagnetic field can be resolved into four different parts of a loop: (1) the electric and magnetic fields are generated by electric charges, (2) the electric and magnetic fields interact only with each other, (3) the electric and magnetic fields produce forces on electric charges, (4) the electric charges move in space.
The feedback loop can be summarized in a list, including phenomena belonging to each part of the loop:
charges generate fields
Gauss's law Coulomb's law: charges generate electric fields
Ampère's law: currents generate magnetic fields ()
the fields interact with each other
displacement current: changing electric field acts like a current, generating 'vortex' (curl) of magnetic field
Faraday induction: changing magnetic field induces (negative) vortex of electric field
Lenz's law: negative feedback loop between electric and magnetic fields
Maxwell-Hertz equations: simplified version of Maxwell's equations
electromagnetic wave equation
fields act upon charges
Lorentz force: force due to electromagnetic field
electric force: same direction as electric field
magnetic force: perpendicular both to magnetic field and to velocity of charge ()
charges move
continuity equation: current is movement of charges
Phenomena in the list are marked with a star () if they consist of magnetic fields and moving charges which can be reduced by suitable Lorentz transformations to electric fields and static charges. This means that the magnetic field ends up being (conceptually) reduced to an appendage of the electric field, i.e. something which interacts with reality only indirectly through the electric field.
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