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Can changing electric and magnetic fields can make each other?



 
 
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Old April 5th 06 posted to sci.physics.relativity,sci.physics.electromag
Sue...
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Posts: 9,389
Default Can changing electric and magnetic fields can make each other?

These equations have been tested for well over a century
now, and as far as we know, they are correct and complete.
Their most spectacular prediction is that changing electric
and magnetic fields can make each other by propagating as
waves through space. Maxwell's equations predict that these
waves should travel at the speed [c].
http://maxwell.byu.edu/~spencerr/web...2/node114.html

The interstellar gas consists partly of neutral atoms
and molecules, as well as charged particles, such as ions
and electrons. This gas is extremely dilute, with an average
density of about 1 atom per cubic centimeter.
http://www-ssg.sr.unh.edu/ism/what1.html

The term [displacement current] is an important component
of the Maxwell equations, and represents magnetic effects
caused by varying electric fields that were unknown at Ampère's
time. In a way, J_D is a fictitious quantity, since it does not
correspond to an actual current, but inclusion of this term is
mandatory to successfully explain observed physical phenomena
accompanying time-varying electric fields.
http://scienceworld.wolfram.com/phys...ntCurrent.html

Figure 3: The wave impedance measures the relative strength
of electric and magnetic fields. It is a function of source structure.

http://www.conformity.com/0102reflectionsfig3.gif
http://www.conformity.com/0102reflections.html

The demonstration that the electromagnetic fields derived
from the Lienard-Wiechert potentials do not satisfy the Maxwell
equations is proved to be false. Errors were made in the computation
of the derivatives of retarded quantities. The subsequent inference
of the necessity of both instantaneous and retarded electromagnetic
interactions cannot be made. Different choices of gauge can lead
to a variety of forms for the scalar and vector potentials, always
with the same retarded fields. Classical electromagnetic theory
is complete as usually expressed. One may choose to work in
the Lorenz gauge in which all quantities are retarded.
http://arxiv.org/abs/hep-ph/0203076
http://arxiv.org/abs/physics/0204034

The stationary solutions for the potentials with time
dependence e^-ikt (e^+ikt ) correspond to the left (right)
circularly polarized waves: the orthogonality properties (31)
suggest an alternative approach to second quantizing the
electromagnetic field, which we hope to address in the future.

Under the duality transformation
(E -- B, B -- -E) , or F -- iF, the transformation of
the potentials is just {a, ß} -- i {a, ß} . The absence of
any duality transformation for the usual potentials
A^µ === (f,A) has been commented on recently by
Witten.20 On the other hand the interaction of a charged
particle with the field is naturally described via the potentials
A^µ , by replacing the free momentum p^µ with the gauge
invariant (p^µ - eA^µ) , whereas the role of the {a, ß}
potentials in gauge theory is not clear.
http://arxiv.org/abs/physics/0309092

Sue...

http://physics.nist.gov/cuu/Images/alphaeq.gif
http://physics.nist.gov/cuu/Constants/alpha.html
http://web.mit.edu/8.02t/www/802TEAL3D/teal_tour.htm
http://farside.ph.utexas.edu/teachin.../lectures.html
http://www.mathpages.com/rr/s2-02/2-02.htm
http://arxiv.org/abs/hep-th/0001046

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