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Roger's Equations

This blog features weekly an equation, formula, or constant that occurs frequently in Engineering or Science. I will try to present the subject matter in a nonformal, conversational style that can be easily followed. Criticism and corrections are encouraged, as are suggestions for future discussions.

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CGS Units - Part II

Posted March 06, 2007 5:11 PM by Roger Pink

In my last blog entry I talked about the CGS unit system, an unit system based upon centimeters, seconds, and grams that was forced into obsolescence with the near universal adoption of the SI system. Although there is no question that the universal adoption of a single clearly defined unit system is beneficial and economical, there are sacrifices. Some unit systems are simply better suited for certain topics than others. Today I will cover the CGS units of Electrodynamics.

SI treats current (Ampere) as the fundamental quantity and charge as simply a quantity derived from current (rather than vice-versa). The CGS unit system uses charge (esu) as its fundamental unit. In CGS, the unit of charge, esu, is defined as the amount of charge, seperated by 1 cm, that produces 1 dyn of force. That makes esu = dyn·cm2 The beauty of the esu unit is that this definition automaticaly builds 1/4πε0 into its units, resulting in equations that look like:

F= (q1q2)/r2

since

F= (dyn·cm2)x1/cm2 = dyn

instead of F=(1/4πε0)(q1q2)/r2 as in the SI system

Many of the frequently used equations found in electrodynamics are thus simplified in this way. For this reason, there has been a reluctance by those who grew up with CGS to switch to SI. Still, despite the convience, we're all better off with a single unit system.

Electrodynamics

Charge - electrostatic unit of charge (esu) - Franklin (Fr) - Statcoulomb (statC)
Electric Current - esu/s
Electric Potential - statvolt (statV) - erg/esu
Electric Field - statV/cm - dyn/esu
Magnetic Field Intensity - Oersted (Oe) - dyn/esu
Magnetic Flux Density (aka Magnetic Induction) - Gauss (G)
Magnetic Flux - Maxwell (M) - G·cm2
Magnetic Dipole Moment - electromagnetic unit (emu) - G·cm3

That's all for now. Special thanks to the following websites:

http://web.mit.edu/8.06/www/handouts/units.pdf
http://www.unc.edu/~rowlett/units/cgsmks.html
http://en.wikipedia.org/wiki/Cgs


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Guru
Engineering Fields - Aerospace Engineering - Retired South Africa - Member - The Rainbow-nation Engineering Fields - Engineering Physics - Relativity & Cosmology Popular Science - Cosmology - The Big Picture!

Join Date: May 2006
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Good Answers: 12
#1

Re: CGS Units - Part II

03/09/2007 7:43 AM

Hi Roger,

I've learned relativity using the CGS system, which was then promptly "normalized" or "geometrized" so that all values are in the units of cm or factors of it. This includes time and mass in cm...

The nice thing was that in this geometrized system, c = G = 1, simplifying the equations, somewhat like you have shown for charge (in esu) above.

Where convenient, I have converted to geometrized SI units in my eBook, giving distance, mass and time in meters, with c = G = 1.

Regards, Jorrie

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