I'd say that one can (even in the case of a non-conservative electric field) always speak consistently about the concept of voltage (just that it is no longer the diffrence of potentials) but rather depends on the curve of integration. The usage of the term emf is applaudable nonetheless...
They are different in the sense that in the first case there is a line integral of the electric field around the loop and in the second (neglecting the fields of the electrons, which again I would say is a reasonable assumption) there is no such voltage (the line integral ...). And yeah, I'm...
Recently I started "studying" electromagnetic induction (O.K. that might be a bit of an overstatement, but I am interested in it, so it's just as well) and I came to the following important "discoveries":
- one of the Maxwell's equations states (Faraday's law if my memory serves me correct)...
I've heard it been said many a times that an electron, which is accelerating, will lose energy via the emittion of electromagnetic waves (it produces E and H around itself ...). Why doesn't an electron moving at a constant velocity (and also poroducing E and H) also lose energy on this account.
As far as I know in classical mechanics of Newton energy is merely an attribute of matter (more a defined concept rather than a starting point). With Einstein this changes (or at least so the formula E=mc^2 would imply). Energy is now equivalent to matter (no longer is it merely one of its...
OK I might as well add some of my own thoughts.
First of all, when I say I like determinism, it does not mean that I don't find theories, which are based on probabilities and are said to be undeterministic, interesting and useful if not beautiful. I just mean that I would prefer a theory at...
Why wouldn't determinism work. As far as I know Newton as well as Einstein are both deterministic. The only physical theory which is not is Quantum theory and I read (heard, I'm no longer sure) somewhere that even this one can be put on a deterministic footing just that then it doesn't sound...
OK the title is a bit practical, I've made the question somewhat more theoretical (technical, whatever), in particular:
One is given three bodies: two relatievly massive (for example the Sun and a massive planet like Jupiter) and one relatievly small (for example a satellite) - meaning that its...
Thanks for the answers. I tend to like determinism :) I have another question, namely: gieven ab initio free space with E and H do Maxwell's allow for the formation of matter out of this form of energy (energy of the electromagnetic waves). Arguablly Einstein says E=mc^2, so they probably...
I would like a proof or a counter-example for the following claim:
A non-constant real-valued continuous function (f:R->R) cannot have an arbitirarly small period!
Are Maxwell's equations deterministic in the sense that e.g. if given free space with H and E defined for any point at time t0, then Maxwell's equations are sufficient to determine H and E for any t>t0?