... If different Abraham/Minkowski formulae apply in different circumstances then the forces would be different, especially as, as you remark, n^2 appears to be of the order of 10^8....
There seems to be a mood to suggest that only tests with batteries and with torsional pendulums are valid.
I don't believe this is a scientific position. The only thing which matters is the measured force and its error bars. I'm in-line with the poster who suggested that if I can move a supertanker, he could forgive the piece of string attached to my finger.
To date I don't recall seeing (I confess I read quickly) any scale estimates as to the errors introduced by using cabled power. Making an assertion that only battery driven tests are credible is, in that context, not science. It just smacks of cueing up an excuse to dismiss potentially positive results.
Please prove me wrong, and tell us what size of error might be created by importing mains power to a test rig.
R.
The formula comes from solving the Wave equation in the medium:
∂²A/∂x²-με∂²A/∂t²-μσ∂A/∂t=0
where A is either E or B. I solved this myself, and cross checked against some undergraduate lecture notes in Electromagnetism from Liverpool university available on the web. It's not my formula.
Your condition on B is not a boundary condition, it is an observation on the solution. In any case, the formula gives standard skin depths. I don't see any reason to believe that the incident, reflected and transmitted waves cannot meet the condition on E.
R.

Equations are not beliefs. I note that you did not challenge the equation or its solution.
I'm not trying to solve the frustrum, I'm trying to estimate the velocity of light in a copper conductor. I did the obvious analysis, which turns out to be validated by standard texts. These state that the wavelength at a given frequency is dramatically smaller in a conductor, i.e. the speed of light is much slower. I think that's also intuitive.
....
R.
not trying to solve the frustrum
There seems to be a mood to suggest that only tests with batteries and with torsional pendulums are valid.
I don't believe this is a scientific position. The only thing which matters is the measured force and its error bars. I'm in-line with the poster who suggested that if I can move a supertanker, he could forgive the piece of string attached to my finger.
To date I don't recall seeing (I confess I read quickly) any scale estimates as to the errors introduced by using cabled power. Making an assertion that only battery driven tests are credible is, in that context, not science. It just smacks of cueing up an excuse to dismiss potentially positive results.
Please prove me wrong, and tell us what size of error might be created by importing mains power to a test rig.
R.
Also, I can understand the 2 following proofs.
1 : If an emdrive is put out of resonance, like in Stansell experiment. The magnetron works the same way. The AC wire itself should not see an internal difference, it should product the same thermal and internal magnetic effects that with the resonating Emdrive.
I do not tell that it is a definitive proof, but it eliminates at least the Pr Yang thermal coax artifact.
2 : The Reversion of the thrust by reverting the frustrum. The Magnetron should still be at the same position, with the wire unchanged, but only the frustrum reverted. The RF feed cable has to be moved, and make an angle but it is not an issue since this cable in entirely on the build.
Here also, the AC Wire cable should not see the difference. It should heat the same, it should get the same magnetic field inside.
The remaining issue that I see in both cases is the external magnetic field outside of the coax. As it was written earlier, the coax is not perfect, so, pratically, there will be some magnetic field escaping outside.
This magnetic field could make a difference following the position of the frustrum, and maybe following if the frustrum is at resonnance or not.
It should be possible to mesure the magnetic field out of the coax, and to calculate the maximum interaction with the build itself. If it is several orders of magnitude lower than the thrust, I think it start to be a strong proof that the thrust is not from the coax cable.
There seems to be a mood to suggest that only tests with batteries and with torsional pendulums are valid.
I don't believe this is a scientific position. The only thing which matters is the measured force and its error bars. I'm in-line with the poster who suggested that if I can move a supertanker, he could forgive the piece of string attached to my finger.
To date I don't recall seeing (I confess I read quickly) any scale estimates as to the errors introduced by using cabled power. Making an assertion that only battery driven tests are credible is, in that context, not science. It just smacks of cueing up an excuse to dismiss potentially positive results.
Please prove me wrong, and tell us what size of error might be created by importing mains power to a test rig.
R.
I can not speak for others, but I have to precise that when I suggest that only tests with batteries and with torsional pendulums are valid as proof of the emdrive, it is implied that it is with the actual millinewtons thrust. If there is a test where a superconducting emdrive build lifts from the ground, even if there is a wire going to a stationary power supply, it is a different case.
As it was already written, it should be to the people using external power to proove that the thrust is not due to momentum carried by the cable.
But, anyway, I can answer to your question.
The new Pr Yang setup, described in her 2016 peer-reviewed paper, with the external power and the bias of the heating wire, gave a force or 8-10mN. If I use the table on the wiki, the power was 220W, it means around 45mN/Kw.
So, The Pr Yang Experiment is a proof that the cable artifact can give at least 45mN/Kw
Any experiment that does not take any care of the cable, and is giving less than 45 mN/Kw is a proof of nothing.
But there are ways to take the cable into account.
Also, I can understand the 2 following proofs.
1 : If an emdrive is put out of resonance, like in Stansell experiment. The magnetron works the same way. The AC wire itself should not see an internal difference, it should product the same thermal and internal magnetic effects that with the resonating Emdrive.
I do not tell that it is a definitive proof, but it eliminates at least the Pr Yang thermal coax artifact.
2 : The Reversion of the thrust by reverting the frustrum. The Magnetron should still be at the same position, with the wire unchanged, but only the frustrum reverted. The RF feed cable has to be moved, and make an angle but it is not an issue since this cable in entirely on the build.
Here also, the AC Wire cable should not see the difference. It should heat the same, it should get the same magnetic field inside.
The remaining issue that I see in both cases is the external magnetic field outside of the coax. As it was written earlier, the coax is not perfect, so, pratically, there will be some magnetic field escaping outside.
This magnetic field could make a difference following the position of the frustrum, and maybe following if the frustrum is at resonnance or not.
It should be possible to mesure the magnetic field out of the coax, and to calculate the maximum interaction with the build itself. If it is several orders of magnitude lower than the thrust, I think it start to be a strong proof that the thrust is not from the coax cable.
The formula comes from solving the Wave equation in the medium:
∂²A/∂x²-με∂²A/∂t²-μσ∂A/∂t=0
where A is either E or B. I solved this myself, and cross checked against some undergraduate lecture notes in Electromagnetism from Liverpool university available on the web. It's not my formula.
Your condition on B is not a boundary condition, it is an observation on the solution. In any case, the formula gives standard skin depths. I don't see any reason to believe that the incident, reflected and transmitted waves cannot meet the condition on E.
R.That's wrong, as I showed (http://forum.nasaspaceflight.com/index.php?topic=39214.msg1529920#msg1529920) no single travelling wave can meet the boundary conditions of the problem, a well known-fact. To meet the boundary conditions one needs counter-propagating waves: a standing wave. Standing waves, as shown in all of the COMSOL and FEKO runs.
However, if you think that makes sense, you could have aero run your value of the real part of the electric permittivity 215 million times higher than what he is presently running in Meep runs, and explore its consequences.
Please show us what are the consequences on the electromagnetic fields and the quality factor of resonance if one uses a relative value of real part of the relative electric permittivity 215 million times higher than the value established by user DeltaMass in these threads long ago and that aero has been running in Meep. (For reference: DeltaMass is also from the UK (Oxford University) and had a background in modelling the behavior of metals, the copper material model that has been used in Meep by aero, and shown by SeeShells, uses a real part of εr=1 for copper)
This would advance the discourse, rather than continuing stating your beliefs.
This would be of value to DIY like SeeShells that have been showing Meep runs (and relying on them to some extent), as aero has been running the DeltaMass model.
Your formula states that the Meep models that aero has been running and that SeeShells has been showing are extremely wrong: off by a huge factor of 215 million times in the value of the real part of the relative electric permittivity.
Wow! 215 million times, that is a huge difference, affecting the Meep runs that aero and SeeShells have been showing, runs like this one, that were run using εr=1 for copper, while you propose that it should be run with εr=2.15*108 instead:
...
...
I expect that if you run with a finite value of tandelta, the value of the real part of the electric permittivity then becomes irrelevant, no matter how high since what matters is tan δ =ε "/ε', as shown by Mansuripur (in the reference I gave previous). Is that correct?
...
I expect that if you run with a finite value of tandelta, the value of the real part of the electric permittivity then becomes irrelevant, no matter how high since what matters is tan δ =ε "/ε', as shown by Mansuripur (in the reference I gave previous). Is that correct?I also tried the dielectric conditions below. There is almost NO difference as expected.
Equations are not beliefs. I note that you did not challenge the equation or its solution.
I'm not trying to solve the frustrum, I'm trying to estimate the velocity of light in a copper conductor. I did the obvious analysis, which turns out to be validated by standard texts. These state that the wavelength at a given frequency is dramatically smaller in a conductor, i.e. the speed of light is much slower. I think that's also intuitive.
....
R.I already showed that you are incorrectly solving Maxwell's equations because your incorrect solution:
1) does not satisfy the boundary conditions of the electromagnetic fields at the copper interface
2) you cannot have an infinite plane wave in a frustum of a cone. For a truncated cone with spherical ends, the solutions are spherical waves, instead of plane waves
3) in your solution you have the electric and magnetic fields completely in phase with each other. The wave solutions for a truncated cone do not have the fields in phase with each other.
Valid solutions to partial differential equations (like Maxwell's equations) must satisfy the boundary conditions of the physical problem.
Thus your "solution" is not applicable to EM Drive Developments - related to space flight applications, as you are now recognizing that you areQuote from: Rertnot trying to solve the frustrum
Rather than continuing to debate your incorrect solution and consequences, and since the Moderator of this thread has asked that people should be helpful to DIY builders, please be helfpful to DIY builders by addressing the fact that what you are proposing is that the model by DeltaMass is off by a huge factor of 215 million times and that the Meep runs by aero are completely wrong, as you state that the real part of the electric permittivity in copper should be 215 million times greater than what aero has been running and SeeShells has been showing.
That would be useful to this thread.
[...
I want to inject a little info here about modeling a perfect conductor instead of the drude model of copper. Aero ran one of my designs as a perfect conductor instead of the drude and posted to me a Q >11,000,000,000 yes that's billion. No matter how it made my heart skip a beat I knew it was wrong. We ended up redoing with a drude copper model with a Q around 88k, which was better.
Very busy day, great to see all the good debates.
Shell
Dr. Rodal, could you take a moment out of the current discussion and comment on the Sonny White video specifically re TRL2 to TRL 3, and the sustained 20 Newtons/kilowatt reported. Sonny also stated that EWL had or was in the process of manufacturing and sending their test articles out to other institutions for independent evaluation. Thnx FL
.../...
A copper surface has incident and reflected EM plane waves I and R and a transmitted wave T. The transmitted wave T is exactly that required to create the power loss in the copper. Conservation of energy requires power balance i.e. P(I)=P(T)+P(R). Momentum Balance requires the force on the copper to be M(I)-M(T)+M(R) (in terms of fluxes per unit time). Hence the momentum of the transmitted wave is directly relevant to the force on the copper, and its energy to the heat dissipated.
.../...
Lets back up here since I've not followed this too closely being in test stand redesign, setup, etc.,
Exactly what hypothesis is being presented to our readership here?
Are we stating the DC/AC/RF energy transmitted through wires are producing a kinetic momentum outside of Lorentz force and thermal expansion or contraction? Continuous or instantaneous?
If this is the case, my humble suggestion is to write up a brief that CLEARLY states that position with theory and numbers that back it up. Comments here, there and every few pages aren't going to convince anyone, especially me that this hypothesis has any merit.
Typical umbilical connections:
RF is 2.45 GHz consider power to be 750 watts
or
DC is 4 kV at about 0.3 mA pulsed at 60 hz
Pick a standard coax (similar to RG-8) or wire gauge such as 14
Tell us what kinetic force is presented outside of Lorentz or thermal buckling
In effect, I am challenging those who propose an error source to do what builders have to do...present their case. If this cannot be done, I humbly suggest we not keep re-hashing this topic. Its interesting, for sure, but somebody needs to present it clearly and concisely.
To date I don't recall seeing (I confess I read quickly) any scale estimates as to the errors introduced by using cabled power. Making an assertion that only battery driven tests are credible is, in that context, not science. It just smacks of cueing up an excuse to dismiss potentially positive results.
Please prove me wrong, and tell us what size of error might be created by importing mains power to a test rig.
R.
