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| Tags: genius, relativity |
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#191
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"Jesse Mazer" wrote in message ... FrediFizzx wrote: "Jesse Mazer" wrote in message ... | | | Franz Heymann wrote: | | "Jesse Mazer" wrote in message | ... | | | Franz Heymann wrote: | | | | "Jesse Mazer" wrote in message | ... | | | | | I wrote: | | | | | | Well, you're thinking about it wrong. It would be possible to | | | | | choose | | | | | units of mass such that the gravitational constant G was equal to | | | | | 1, | | | | | but that wouldn't make it any less real as a physical | constant--similarly, in cgs units, the basic units of charge | | | (emu) | | | | | Sorry, that should be esu...emu is the unit of magnetic charge in | | | | | cgs units. | | You might know what you were trying to say both in the original | statement and the correction. | I doubt if anybody else would. | Comment on this garbage, for instance | "emu is the unit of magnetic charge in cgs units" | | | | OK, magnetic moment, I confused my terms, Jeez. I think you know | | | what I | | | meant. | | | | No. I had not the foggiest notion. I still do not know what you are | trying to say. | How about being effective by giving a complete sentence with the | phrase "magnetic moment" in its apropriate place. | If I were to just replace "magnetic charge" by "magnetic moment", the | sentence would still be garbage, so I feel sure you must be meaning | something else. | | Franz | | | | | You think the sentence "emu is the unit of magnetic moment in cgs units" | is garbage? Have a look at this page: | | http://www.unc.edu/~rowlett/units/cgsmks.html | | It says that emu is the unit of the magnetic dipole moment in CGS units, | and that the conversion from CGS to SI is 1 emu = 0.001 Ampere*meter^2. It is wrong. An emu is a unit of current. It is equal to 10 ampere SI. FrediFizzx Well, it's possible you're right since I don't claim to be an expert in unit systems, but do you have a source for that? The website above comes from a professor of mathematics at the University of North Carolina at Chapel Hill, so it seems pretty credible. I am (was) an expert in the field, having taught E&M for more than a decade and having performed electrical and magnetic calculations for sixty years. Freddi is as wrong as you were. The emu is the name for a complete set of units for all electrical and magnetic quantities. Quite analogous to saying that the SI is a complete set of units. Franz |
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#192
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"Franz Heymann" wrote in message
... | | "FrediFizzx" wrote in message | ... | "Jesse Mazer" wrote in message | ... | | | | | | Franz Heymann wrote: | | | | "Jesse Mazer" wrote in message | | ... | | | | | | Franz Heymann wrote: | | | | | | | | "Jesse Mazer" wrote in message | | ... | | | | | | | | | | I wrote: | | | | | | | | | | | | Well, you're thinking about it wrong. It would be possible to | | | | | | | | | | choose | | | | | | | | | | units of mass such that the gravitational constant G was | equal to | | | | | | | | | | 1, | | | | | | | | | | but that wouldn't make it any less real as a physical | | constant--similarly, in cgs units, the basic units of charge | | | | | | (emu) | | | | | | | | | | Sorry, that should be esu...emu is the unit of magnetic charge | in | | | | | | | | | | cgs units. | | | | You might know what you were trying to say both in the original | | statement and the correction. | | I doubt if anybody else would. | | Comment on this garbage, for instance | | "emu is the unit of magnetic charge in cgs units" | | | | | | | | OK, magnetic moment, I confused my terms, Jeez. I think you know | | | | | | what I | | | | | | meant. | | | | | | | | No. I had not the foggiest notion. I still do not know what you | are | | trying to say. | | How about being effective by giving a complete sentence with the | | phrase "magnetic moment" in its apropriate place. | | If I were to just replace "magnetic charge" by "magnetic moment", | the | | sentence would still be garbage, so I feel sure you must be | meaning | | something else. | | | | Franz | | | | | | | | | | You think the sentence "emu is the unit of magnetic moment in cgs | units" | | is garbage? Have a look at this page: | | | | http://www.unc.edu/~rowlett/units/cgsmks.html | | | | It says that emu is the unit of the magnetic dipole moment in CGS | units, | | and that the conversion from CGS to SI is 1 emu = 0.001 | Ampere*meter^2. | | It is wrong. An emu is a unit of current. It is equal to 10 ampere | SI. | | Balls. The emu is a complete system of electrical a=nd magnetic units. | The emu of current is sometimes called the Abamp. (An abbreviation | for "absolute Ampere") | 1 Abamp = 10 Amperes Ok, sounds good to me. I am sure you have had more experience with it than me. It just that the writer of the following web pages used e.m.u. in a context that sounded like an emu was also used as the name for the emu unit of current. "...1 e.m.u. of current experiences a force of two dynes..." http://www.ee.surrey.ac.uk/Workshop/...s/unit_systems FrediFizzx |
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#193
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Franz Heymann wrote: "Jesse Mazer" wrote in message ... Franz Heymann wrote: "Jesse Mazer" wrote in message ... Franz Heymann wrote: "Jesse Mazer" wrote in message ... I wrote: Well, you're thinking about it wrong. It would be possible to choose units of mass such that the gravitational constant G was equal to 1, but that wouldn't make it any less real as a physical constant--similarly, in cgs units, the basic units of charge (emu) Sorry, that should be esu...emu is the unit of magnetic charge in cgs units. You might know what you were trying to say both in the original statement and the correction. I doubt if anybody else would. Comment on this garbage, for instance "emu is the unit of magnetic charge in cgs units" OK, magnetic moment, I confused my terms, Jeez. I think you know what I meant. No. I had not the foggiest notion. I still do not know what you are trying to say. How about being effective by giving a complete sentence with the phrase "magnetic moment" in its apropriate place. If I were to just replace "magnetic charge" by "magnetic moment", the sentence would still be garbage, so I feel sure you must be meaning something else. Franz You think the sentence "emu is the unit of magnetic moment in cgs units" is garbage? Yes, assuredly. The emu, is a generic term which is the name for a complete set of units encompassing all magnetic and all electrostatic quantities. What emu is *not* is what you refer to as "the unit of magnetic moment in cgs units. Moreover there are two differently sized units for magnetic moment in cgs, namely the cgs emu of magnetic moment and the cgs esu of magnetic moment. Have a look at this page: http://www.unc.edu/~rowlett/units/cgsmks.html It says that emu is the unit of the magnetic dipole moment in CGS units, and that the conversion from CGS to SI is 1 emu = 0.001 Ampere*meter^2. I don't need to. What it should say is that 1 emu *of magnetic moment* is the unit of magnetic dipole moment. And yes, the conversion factor is correct. Franz Well, I was just going by what I read on various webpages describing units, as I said I'm not an expert on different unit systems. I checked my E&M textbook, and they don't list any special unit for magnetic moment, so what you say seems plausible--does that mean the units for magnetic moment in the e.m.u. system would be abampere*second*cm, and in the e.s.u. system it'd be statampere*second*cm? Jesse |
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#194
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Jesse Mazer wrote: Franz Heymann wrote: "Jesse Mazer" wrote in message ... Franz Heymann wrote: "Jesse Mazer" wrote in message ... Franz Heymann wrote: "Jesse Mazer" wrote in message ... I wrote: Well, you're thinking about it wrong. It would be possible to choose units of mass such that the gravitational constant G was equal to 1, but that wouldn't make it any less real as a physical constant--similarly, in cgs units, the basic units of charge (emu) Sorry, that should be esu...emu is the unit of magnetic charge in cgs units. You might know what you were trying to say both in the original statement and the correction. I doubt if anybody else would. Comment on this garbage, for instance "emu is the unit of magnetic charge in cgs units" OK, magnetic moment, I confused my terms, Jeez. I think you know what I meant. No. I had not the foggiest notion. I still do not know what you are trying to say. How about being effective by giving a complete sentence with the phrase "magnetic moment" in its apropriate place. If I were to just replace "magnetic charge" by "magnetic moment", the sentence would still be garbage, so I feel sure you must be meaning something else. Franz You think the sentence "emu is the unit of magnetic moment in cgs units" is garbage? Yes, assuredly. The emu, is a generic term which is the name for a complete set of units encompassing all magnetic and all electrostatic quantities. What emu is *not* is what you refer to as "the unit of magnetic moment in cgs units. Moreover there are two differently sized units for magnetic moment in cgs, namely the cgs emu of magnetic moment and the cgs esu of magnetic moment. Have a look at this page: http://www.unc.edu/~rowlett/units/cgsmks.html It says that emu is the unit of the magnetic dipole moment in CGS units, and that the conversion from CGS to SI is 1 emu = 0.001 Ampere*meter^2. I don't need to. What it should say is that 1 emu *of magnetic moment* is the unit of magnetic dipole moment. And yes, the conversion factor is correct. Franz Well, I was just going by what I read on various webpages describing units, as I said I'm not an expert on different unit systems. I checked my E&M textbook, and they don't list any special unit for magnetic moment, so what you say seems plausible--does that mean the units for magnetic moment in the e.m.u. system would be abampere*second*cm, and in the e.s.u. system it'd be statampere*second*cm? Jesse By the way, is it also true that if you want to refer to electrical charge in the cgs system, you should say "1 esu of charge" rather than just "1 esu"? In my textbook "Introduction to Electrodynamics" by David Griffiths, on p. 518 there is a table of conversion factors where it is said that the coulomb in the SI system should be converted to the unit "esu (statcoulomb)" in the cgs system. Is "statcoulomb" really the unit of charge in the esu. subsystem of cgs units, and "1 esu of charge" is just a common shorthand for "1 statcoulomb"? Jesse |
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#195
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"FrediFizzx" wrote in message
... | "Franz Heymann" wrote in message | ... | | | | "Jesse Mazer" wrote in message | | ... | [snip] | | even though the | | experiments to determine epsilon_0 and mu_0 have nothing to do with | | light. | | | | No experiments have ever been done to determine the values of eps0 and | | mu0. | | I think what he really meant was k_e in Coulomb's law and k_m in Ampere's | law (the electric and magnetic constants). | | | They are artefacts necessary to define a certain set of units. | | Such experiments are logically impossible, for the following reasons: | | | | mu0 is *defined* to be precisely 4* pi*10^-7 | | and eps0 is *defined* to make eps0*mu0 = c^-2 | | (and c, in turn, has a *defined* value, but we'll let that pass) | | The real SI magnetic constant of 2*10^-7 N/A^2 is simply the result of the | definition of the ampere as a base unit. It was multiplied by an ad hoc | constant of 2pi. That means that eps0 has an ad hoc value of 1/2pi in it. | Eps0 = 1/4pi in gaussian cgs units. Take out the ad hoc constant then | eps0*2pi = 1/2 in gaussian cgs. Which is consistent with what the following | link has to say if the magnetic constant is 1/c^2. k_e/k_m = c^2/2 | | http://www.ee.surrey.ac.uk/Workshop/.../unit_systems/ | | So what happened to this 1/2 for k_e in gaussian cgs units since k_m is set | to 1/c^2? This would mean that in natural units of hbar = c = 1, k_e should | be 1/2 and k_m should be 1. k_e = 1/2 got shoved into the product of q*Q in | Coulomb's law is what happened in gaussian cgs because they set it to 1. So | it seems that the gaussian cgs system is somewhat "*******ized". But the | big question here then is what the HECK does this 1/2 represent? Well, I | already told you what I think it represents. Ok, I think I got this straightened out now. No problem. k_e = 1/(4pi*eps0) is the real SI electric constant. Eps0 has an ad hoc factor of 1/4pi in it. Not 1/2pi. Since k_e = 1 in gaussian units, then k_m = 2/c^2 which is easy to see at the following link, http://scienceworld.wolfram.com/phys...llelWires.html And the real SI magnetic constant is mu0/2pi. So the real equation goes like this, c^2/2 = (1/4pi*eps0)(2pi/mu0) So there is no 1/2 factor. Which is good because that was totally messing me up. The real ratio of the physical length of E_0 to wavelength is 1/2pi. Not 1/2. FrediFizzx |
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