Displacement Current Paradox
8 July 2012
I have exposed 3 inconsistencies of the
Lorentz force law in several articles, these inconsistencies are about Lorentz
force, but they can also be about magnetic field. So, let us examine the
Maxwell–Ampere equation.
Displacement current creates magnetic field in free space. For example, on a conductor sphere been charged by an alternate current (see the Figure 1), the electric charge varies, the electric displacement field D varies and the variation of D creates a magnetic field around the sphere. Let us calculate this magnetic field.
Displacement current creates magnetic field in free space. For example, on a conductor sphere been charged by an alternate current (see the Figure 1), the electric charge varies, the electric displacement field D varies and the variation of D creates a magnetic field around the sphere. Let us calculate this magnetic field.
Please read the following document
Used documents links
Used documents links
Synthesis of the inconsistency of the Lorentz force law, http://pengkuanem.blogspot.com/2012/04/synthesis.html
I've also looked at the displacement current paper you wrote on how you envisioned a sphere with an increasing charge resulting in a magnetic field. Actually, it won't;
ReplyDeleteLet's say that because of dE/dt you have a displacement current moving out of the sphere. Around each "displacement current line" you'll use the right hand rule and draw a magnetic field loop. You may think that this means there is a magnetic field there. However, if you then look at the displacement current right to the left/right of this first one (let's say we are looking at just the equator of the sphere), then you'll notice that part of the magnetic loop of the first and second cancel each other out.
This continues all the way around in every direction.
This is the the same thought experiment as "what if an electron appears in space out of no where, would that create a magnetic field". The answer is, for the same reason as above, no.
This reasoning violates Maxwell-Ampere's equation because dE/dt=/=0 and rot(B)=0.
DeleteThat's because an electron can't actually appear out of no where :)
DeleteI would need to look at the math, which I haven't done since that is much more work (I'll do it later)
Consider this situation - an electron is moving through space.
I'd imagine that using Coulomb's Law in combination with Faraday's law with the displacement correction, should give you the same result as Biot Savart law for the magnetic field around a moving electron. Assume the electron's speed is very small so that there isn't any relativistic effects.
I'll check out the math later for the above work.