darkenlighten
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Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
Well no the [math]\hat{\phi}[/math] is the direction since it is a vector, so that is the correct B field. And believe it (or not), yes that is what you get for an infinite wire, or an approximation for a really long wire or one "looking" very close to the wire. Using BiotSavart you can get: [math] \frac{\mu_o I}{4\pi s}(sin\theta_2  sin\theta_1)[/math] and thanks Cap'n Refsmmat 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
Okay lets do this I will solve this for now and get to the other ones later when I have more time: 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
I'm going to give this one more shot. Please read this with unbiased attention first and the speculate. Okay so the 1st equation allows you to find the electric field of a source, including point, lines, surface and volumes charges. And you can use superposition to get the whole story of the other electric fields from other sources, in which you can then use F = qE, where E is the sum of all fields. The second equation, and I stress, is not what is used to find the B field without boundary conditions, once again it is Ampere's Law you use to find the B field of a source. No not all. The 3rd equation is Faraday's Law, which is about induction of the changing B field, creating an E field. And this B field can be solved for using Ampere's Law. Then this E field can be then added to say a source charge with its own E field, so you would have E(total) = E(source) + E(induced), where E(source) can be a sum of multiple sources. Okay but the point is Gauss's law its much simpler for pretty much everything past a point charge. Once again not the correlation to BiotSavart Law. The 4th equation does not mean only induction, but is the correction of induction to the B field. Hopefully you can understand that ∇ x B = μoJ is the what is used to find the B field and (μoεo)dE/dt is the additional induction from an external changing E field. So with all of these equations and F = q(E + v x B) you have pretty much everything you need to solve any nonrelativistic electrodynamics problem. And of course you can have a timevarying field, what do you think an EM wave is? And that is how induction works, something has to be changing with time. So in your gravity field example, gravity is, of course, the same at a specific point and changes with respect to distance, but it is the shuttle that is moving which causes the "timevarying field", I understand what you mean there. Same thing with induction can happen, but! You can also have a varying current (AC) which will change the field with respect to time and nothing in the system, besides the current, has to move for this to happen. For example a wire with a charged sphere near by, if the current is varying through the wire, the charged sphere does not have to be moving in order to feel the effect of the changing B field. Once again on the loop thing, the loop is describing the area in which a current is passing through the loop, this is the flux that the loop is feeling, which described the B field of the object in question. Similar to the Gaussian surface, where you have a certain charge enclosed in the surface, you have a certain current passing through this Amperian loop. The Amperian loop is not describing your object that you are looking at, but it is describing the the flux of current of that object in that area. And as I stated above, the 4th equation is not just about induction, but about the whole story of the B field. It could almost be two separate equations. One for deriving the B field (∇ x B1 = μoJ) and one for the additional effect of a changing E field (∇ x B2 = (μoεo)dE/dt), where the total B field is B(total) = B1 + B2. Is that any better? 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
Okay so for one, I already solved your problem for the electric field. And I posted the pages so that you would trust my words were just not me talking, but so that I had a legit source. And as I already stated, for this example using Ampere's Law is not the best, nor is it going to be clean. It is best in this situation to use BiotSavart Law. Which I have posted, the answer you have is an approximation. If you are to read the derivation I posted you would understand why. I might not know everything about Electrodynamics, but I do know what I have been talking about. And for finding magnetic fields, you don't use "Gauss's Law for magnetism" as you like to say, you use Ampere's law. As I said before BiotSavart and Ampere's law only whole true for steady currents. So anything that has symmetry and a steady current is easily calculated by Ampere's Law, say a coaxial cable or concentric spherical shells, anything (like I said before) with spherical, cylindrical or planar symmetry. I'm out of town right now, so I'll try to solve it using Ampere's Law when I get a chance, but I don't think it'll be that easy considering its not meant for that. Merged post follows: Consecutive posts merged No, no no....what he means is that "divB=0" is not what you use to solve for the magnetic field, pay attention and read back through, it is the ∇ x B = μoI ⇒ ∫B·dl = μoI(enclosed), not ∇·B = 0 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
ambros I still think you are confusing the fact that you should get to the same answer with either Maxwell's equations (which include Gauss's, Faraday's and Ampere's with Maxwell's corrections Laws) or Coulomb's and BiotSavart Law. And with Ampere's Law, you saying it is only gives loops, but what it is saying is more like the flux through that loops (current) and this why Ampere's law and BiotSavart law are only applicable for steady currents. You can give the full 3d picture with Ampere's Law. I really don't think you will understand their full power until you either take an Electrodynamics course or read a book on it front to back. Go to a local Barnes and Nobles or what have you and look through an Electrodynamics book, the emphasis will not be on Coulumb's or BiotSavart Laws, but on all the others. 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
Edit: That was to show you why B = (μo/4π) * (q v x r) / r^2 is just an approximation for a moving charge if you look at the math I have given you. I'm starting to lose confidence in your math though since you are still not getting it. I mean you should be able to plug in the numbers and or even just look and see how the exact E and B Fields derived here will be different than the approximation. I'm not trying to argue with you, I'm just trying to show you why I am right. Stop reading Wikipedia, because that is just wrong. Of course you will end up with the same field! Otherwise Gauss's Law would be wrong and well of course it's not. And its not my some magic, its math...Do you not understand that Gauss's Law will give you the same E field that Coulomb's Law will, that's the idea. The approximation I am talking is the above one that you ignored since you believed it had no relevance, so please look again. And I never gave an approximation, the equation I solved for the wire is the EXACT field you would experience for that scenario. Do I really need to solve other scenarios for you to understand its not just for wires. You do need symmetry in the problem, but any that is Spherically, Cylindrically or Planar Symmetrical can be easily solved by Gauss's and Ampere's Law, which are apart of Maxwell's equations. But the approximation is really an aside and is not going to make or break everything else we are talking about. The equation is not ∇ · B = 0 in order to solve for the B field it is ∇ x B = μoI ⇒ ∫B·dl = μoI(enclosed) and you can easily derive the same resulting B field with this method. And as you can see ∇ · B = 0 is always zero, because the divergence of a curl is always zero. 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
Here is the derivation: I already solved for the EField above using Gauss's Law. To solve for B field is the same method, and for approximation it will be the same results we have already discussed. 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
No. Electrons have a charge and electric field, but it is not its charge or electric field, they are not one in the same, see http://www.scienceforums.net/forum/showthread.php?t=46717 If you say this you are incorrect, q is not an electron, nor is it an electric field. I don't know why you would insist on this. B = (μo/4π) * (q v x r) / r^2 is a fine enough approximation, its just not completely accurate. Maxwell's equations are not about just wires, they can evaluate the E and B field of a point like charge, a surface, and a volume of any type. I'm sorry you are wrong on this. And I'll state again, Maxwell's equations are derived from Coloumb's and BiotSavart Law. I think for you to really understand what is going on you would need to take an Electrodynamics course. Griffiths "Introduction to Electrodynamics" is a really good book if you can get it or buy it. 
Computer Assisted Design and stress simulation programs?
darkenlighten replied to Icefire's topic in Engineering
I agree, Solidworks COSMOS and Unigraphics NX with Nastran are really good programs for FEA. Solidworks might be easier to get a hold of, since Unigraphics is a more high end program (for example GM uses this). If you have any questions about these, I am pretty familiar with COSMOS and really familiar with Nastran. 
Seems like you are asking if a negatively charged atom/molecule can be repelled by a positively charged atom/molecule. The answer would be no, they would attract.

Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
And so am I... No, a changing Magnetic Field will induce an Electric Field. And no the charge, electron and electric fields are not one in the same when it comes to point particles. They exist because of each other but not one in the same. I'm glad you said this, take a look: This is taken from the "Introduction to Electrodynamics" (Third Edition) by David J. Griffiths So you are asking if a changing Magnetic Field of an electron would change another electrons charge??? Because it would only change the E field around the electron, not the properties of the electron itself. This goes back to what you were trying to say about it being one in the same. To change the E Field around an electron does not constitute a change in the electron's properties. Hopefully you are starting to understand something of what I am saying. Merged post follows: Consecutive posts mergedNote that B = (μo/4π) * (q v x r) / r^2 is an alright approximation for v^2 << c^2, but is nonetheless not the exact answer. I am not sure how accurate you wanted to be with this. And I'm just going to add in here to make it clear, for point like particles, Coloumb's Law and BiotSavart Law is probably going to be the easiest way to get the E and B field. I just want to make sure we were not ever arguing that. 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
By definition of the BiotSavart Law, you need steady currents in order for it to be correct. What you have for a single charge is incorrect. You need steady currents and a single charge moving is not a steady current, unless it is in circular motion like an electron "orbit" and then you need the current and not qv. And I didn't solve for a B field because it is the exact same method as solving for an E field using Guass's Law, but with Amperian Loops (line integrals). It doesn't have to be infinite wires, that was just the easiest example, it can solve finite solutions. And of course it will come out the same as Coloumb's and BiotSavart Law, otherwise it would be incorrect...And Maxwell's Equations were derived from Coloumb's and BiotSavart Laws, but they make finding the E and B field so much easier. What is this about there is no way a B field can create an E field??? That is wrong, it has to be changing, but a changing B field WILL create an E field, that is what the MaxwellFaraday Equation states. Yea I'm going to have to disagree with you also and be stern that you are wrong. At least in your method of thinking about this... 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
Okay so point like charges, it is usually best to use Coloumb's Law and the BiotSavart Law, but for everything else it is probably not true. Guass's Law and Ampere's law make things so much more simpler when it comes to everything else. And yes you can use the laws in differential form, but you would need to know the E or B before hand. Here is an example: So for inside it would be different because the charge enclosed would be different. And Guass and Ampere's Law call for symmetry. The BiotSavart Law only holds for steady currents, so one electron moving will not be accurately depicted by the BiotSavart Law, nor can you really with Ampere's Law. I am saying you cannot solve for E or B without applying Stoke's Theorem. You can use it in differential form if you already have E or B but that will obviously not solve for either. You might be able to use it to find E and B but I cannot think of anyway off hand. And the dB/dt and dE/dt are external known fields one way or another. Also for your moving electron and the E field: 
Maxwell's equations: meaning, derivation and applicability
darkenlighten replied to ambros's topic in Classical Physics
So for this, you would use this when you are looking at something with a charge to find the electric field around it. You want to apply stokes theorem to get it into integral form. From there you would take a gaussian surface around the object enclosed in order to get the electric field at a distance away from the object. So ∇·E = Q/εo ⇒ ∫E·nda = Q(enclosed)/εo If you have more questions about this I can expand. Okay so here you can find the magnetic field using amperes law which is similar to guass's law, which is ∇ x B = μoI, or get the integral form. so you would, for a wire, apply an amperian loop around the wire and take the line integral and set it equal to μoI, where I is the current enclosed. ∇ x B = μoI ⇒ ∫B·dl = μoI(enclosed) Once again ask further if you want more info. Here dB/dt is the derivative of the magnetic field, or the change in magnetic field. You can find B from Ampere's Law. So this is an induced electric field from a change in the magnetic field, once again apply stokes theorem to get it in integral form. Lastly I already gave Amperes law above and the dE/dt is maxwells correction and isnt always needed, especially if there is not a change in the electric field. and J is the volume charge, so I = ∫J·da There for you can clearly see that these will work for wires and most likely for what you were trying to do. If you want me to show you how to do specific scenario please ask. Like how you would get a magnetic field around a wire with current I or something like that. 
It's the time evolution of a system. Or how a system behaves given a certain hamiltonian (an equation describing its energy) I would suggest looking at http://en.wikipedia.org/wiki/Wave_function and asking questions from there. And so we know at least what knowledge level you are coming from.

I'm pretty sure you can just turn off the car. Most cars will not let you switch the key all the way off, but to the point where the cars controller will shut off and any car powering devices. Of course I would suggest attempting to put it into neutral first. The only way that the electronic throttle control will go haywire would be a error in its control strategy (the electrical signals that get sent to the actual device), which is why the car should be recalled. Or a short in the actual electrical wiring, which is unlikely, but can also happen, causing what is supposed to be a potentiometer, to be a resistance that corresponds to a certain acceleration read by the controller. But, nonetheless, there are usually manual methods around this.

Depending on the performance of the solar cell, you would connect it as if it was a battery. Otherwise you might need to use it to charge a battery. It's either going to sustain enough electricity to power it completely (doubtful) or allow the use of a battery to last longer. So it would help if we knew what you were working with.

I'm attempting to find a mathematical approach instead of an experimental. Also the type of interactions I would like to calculate are not going to be direct repulsion. Knowing the magnetic fields are not the problem, that's the easier part, knowing how they would interact is what I'm trying to find. Thanks for the input.

Sorry for the delayed response. So from looking at these, they seem to be for a more specific case. Do you know of a more general approach, it does say it is more difficult to find for a general case, but it would be worth learning about.

Okay so I've been wondering if there is a way to calculate the force on a magnetic material (that is magnetized and producing a magnetic field of its own) from an electromagnet that produces its own field. This is not a trick question or anything of the sort and I've been trying to find detail on this, but I have failed to find how one B interacts with the material of another producing its own field. This question comes about to me when thinking of an electric motor and the force produced by an electromagnet on a permanent magnet. Does anyone have any insight?

As far as I know, there isn't a specific name for this. Its simply just absorption and emission of photons by an electron. When an electron goes from a lower energy level to higher one, a photon was absorbed, when it goes from a higher energy level to a lower one a photon is emitted.

Yea my parents contributed $0 towards my living and tuition. FASFA and work a part time job. No excuses imo.

Does our consciousness exist in a higher dimension?
darkenlighten replied to whap2005's topic in Speculations
Yea I agree with vordhosbn, the logic you are using is still weak. Though, I'm not arguing your idea. Even though I do think that sometimes the consciousness is something past the physical, but I have no evidence to back it up. And I'm not really too sure about it being in "another dimension". 
Does our consciousness exist in a higher dimension?
darkenlighten replied to whap2005's topic in Speculations
I disagree with your logic here. Just because a person is brain damaged and has been disabled to perform the lost function, does not constitute the origin of that function, just that the link is broken or the path to the origin has been broken. 
Can anyone suggest Best places to go for a Masters in Physics?
darkenlighten replied to Santosh's topic in Science Education
Should have went for Engineering Physics and concentrated in Electrical Engineering like I am Pretty interesting, its not as a popular choice in colleges, but The Ohio State University offers it. And here is ranking in the US for graduate schools: http://gradschools.usnews.rankingsandreviews.com/bestgraduateschools/topphysicsschools/rankings