Author

Topic: The 20 Greatest Equations





N.Beltov
rabblerouser
Babbler # 4140

posted 15 October 2004 02:14 AM
For any first year Physics student it is Maxwell's equations that form the framework of the section on electricity and magnetism...these four equations constitute the entire range of the measureable properties of electromagnetic radiation, of light...So we have.... 1. Faraday's Law. 2. Ampere's Law and conservation of charge. 3. Coulomb's Law and 4. V dot B = 0 no magnetic monopoles But since we've got 4 ...why stop there? Let's add the first 5 theorems of Euclid's elements. Let's see..how many is that? 9 I think. A GOOD START.
From: Vancouver Island  Registered: May 2003
 IP: Logged




DrConway
rabblerouser
Babbler # 490

posted 16 October 2004 05:36 AM
quote: Originally posted by N.Beltov: Isn't that captured by Coulomb's Law? It certainly has the same mathematical relationship...F = (q * q')/r^2 ...although one describes a gravitational force and the other describes the force between a pair of charges...
You can actually derive Coulomb's Law from Gauss's Law, which is in differential form in one of Maxwell's Equations (div E = rho inside over epsilon nought). You use a theorem in vector calculus known as the divergence theorem to turn that into the integral form of Gauss's Law, and then you use an enclosing surface surrounding a point charge to get the electric field equation, and then use F = qE to regain Coulomb's Law. So, although it's not obvious from the 20 equations listed, many "seminal" equations in mechanics and electromagnetism are "hidden" inside Maxwell's Equations or Einstein's tensor equations.
From: You shall not side with the great against the powerless.  Registered: May 2001
 IP: Logged



Willowdale Wizard
rabblerouser
Babbler # 3674

posted 16 October 2004 10:53 AM
i remember a TV comedy sketch where marilyn munro was visiting albert einstein, and he was showing her his blackboard with all sorts of equations on it, and he said that he just couldn't figure out how to express relativity,and she perkily remarked, "how about e=mc squared", and he starts exclaiming "marilyn, that's it, you've got it, marilyn, yes, oh, marilyn, marilyn, god, yes", and she says, "oooh, i've never done it like that before."
From: england (hometown of toronto)  Registered: Jan 2003
 IP: Logged


N.Beltov
rabblerouser
Babbler # 4140

posted 16 October 2004 11:19 AM
My first year Calculus prof once made a dirty joke with an integral equation. It went like this....integral e^{x} = f(u)^{n} That is...Se^{x} = fu^{n}. Hence...sex is fun. Goofy, eh? [ 16 October 2004: Message edited by: N.Beltov ]
From: Vancouver Island  Registered: May 2003
 IP: Logged











