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MOTION MOUNTAIN

LIGHT, CHARGES AND BRAINS - Motion Mountain

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electromagnetic effects and challenges 223<br />

TA B L E 17 (Continued) Selected matter properties related to electromagnetism.<br />

Property Example Definition<br />

Challenge 215 e<br />

Ref. 192<br />

Challenge 216 s<br />

All matter properties given in the list can be influenced by electromagnetic fields or<br />

directly depend on them.This shows in detail:<br />

⊳ The nature of all everyday material properties is electromagnetic.<br />

In other words, electric charges and their interactions are an essential and fundamental<br />

part of the structure of objects.The table shows so many different electromagnetic properties<br />

that the motion of charges inside each material must be complex indeed. Most<br />

effectsarethetopicofsolidstatephysics,*fluidphysicsorplasmaphysics.<br />

Solid state physics is by far the most important part of physics, when measured by<br />

theimpactithasonsociety.Almostallitseffectshave applications in technical products,<br />

and give employment to many people. Can you name a product or business application<br />

for any randomly chosen effect from the table?<br />

In our mountain ascent however, we look at only one example from the above list:<br />

thermal radiation, the emission of light by hot bodies.<br />

All bodies emit radiation<br />

Earnshaw’s theorem about the impossibility of a stable equilibrium for charged particles<br />

at rest implies that the charges inside matter must be moving. For any charged particle<br />

in motion, Maxwell’s equations for the electromagnetic field show that it radiates energybyemittingelectromagneticwaves.<br />

In short, we predict that all matter must radiate<br />

electromagnetic energy.<br />

Interestingly, we know from experience that this is indeed the case. Hot bodies light<br />

up depending on their temperature; the working of light bulbs thus proves that metals are<br />

made of charged particles.Incandescence, as it is called, requires charges. Actually, every<br />

body emits radiation, even at room temperature. This radiation is called thermal radiation;<br />

at room temperature it lies in the infrared. Its intensity is rather weak in everyday<br />

life; it is given by the general expression<br />

I(T)=fT 4 2π 5 k 4<br />

15c 2 h 3 or I(T)=fσT 4 with σ=56.7 nW/K 4 m 2 , (85)<br />

wheref is a material-, shape-and temperature-dependentfactor, with a value between<br />

zero and one, and is called theemissivity.The constantσ is called theStefan–Boltzmann<br />

blackbodyradiation constant orblackbodyradiation constant. A body whose emissivity<br />

is given by the ideal casef=1 is called ablackbody, because at room temperature such a<br />

body also has an ideal absorption coefficient and thus appears black. (Can you see why?)<br />

The heat radiation such a body emits is calledblack bodyradiation.<br />

*Probablythebestandsurelythemostentertaining introductoryEnglishlanguagebookonthetopicisthe<br />

onebyNeil Ashcroft & David Mermin,SolidState Physics,Holt Rinehart &Winston,1976.<br />

Motion Mountain – The Adventure of Physics copyright © Christoph Schiller June 1990–November 2015 free pdf file available at www.motionmountain.net

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