Scientific Teaching, Analysis and Research

Findings on "Levitation in Earth's E-field" Technology


 

What is the Capacitor's Mass?

 

The mass that could be lifted by a 1 coulomb charge in earth's 6 newton per meter electric field is substantially less than 1 kilogram.

Force = mass * acceleration

in this case the force on a charged particle within an electric field is the electric field strength times the charge

F = E * q

E * q = mass * 9.8 (acceleration due to gravity)

6 * 1 / 9.8 = mass

mass = .61224 kilograms (1.3469 pounds)

 

It is clear to see that either of the above capacitors would weigh more than 1.3469 pounds. The mylar®(Dupont brand name for polyester film) capacitor dielectic alone would weigh more than 2.07 pounds. (The density of mylar® is 1.390 grams per cubic centimeter.) The plates would have to weigh at least half as much depending on thier thickness and material. None the less, a very ambitious experimenter could build such a device and observe it "lose weight", say up to about 50% of it's weight.

Incidently, a 1.5 meter (5 foot) diameter capacitor with 3 mil mylar would have a capacitance of 1.3 mf. Charged to 20,000 volts it would accumlate a 0.027 coulomb charge and have to have a mass of 2.75 grams or less. To give you a feel for that mass, it is slightly more than half the mass of a US nickle.

Also these calculations have been based on a "typical" worst case e-field strength. The earth's e-field does reach 100 volt per meter levels (100 newtons per coulomb). At theses levels the resultant force should be about 16 or more times that in the previous calculations. In the 1.5 meter capacitor that comes to about 45 grams (9 US nickles).

Is it possible to build a more practical capacitor that could accumulate suffient charge to be accelerated more than the earth's gravity by earth's electric field? The answer is undoubtedly yes.

Currently one can purchase a 500,000 mf (0.5 farad) 5 volt capacitor (electrolytic type) that has substantially less mass than .6 kilograms. That is a 2.5 coulomb charge. The trouble is that they are spiral wound electrolytic so that the vast majority of the plate area is shielded from the electric field. Hence very little force. If that type of capacitor could be made into a flat 3 plate capictor, then it would work.

charge on a 0.5 farad 5 volt capacitor

Q = C * V

Q = 0.5 farad * 5 volts

Q = 2.5 coulombs

The bottom line is that a suffient charge accumulation on a capacitor, or any object for that matter, of suffiently small mass, would be accelerated more by the earth's electric field than by acceleration due to the earth's gravity field. It would fly.

Clearly the answer lies in finding a suitable dielectric material. I suspect that this dielectric will be a composite material consisting of a bipolar substance sandwiched between a substance with a high break down voltage. Bipolar substances naturally have a high dielectric constant because of their molecular structure. Take water for example. It has a dielectric constant of 78. This is because of the natural charge seperation on the water molecule itself. That makes the water molecule have a positive end and a negitive end. In an electric field it aligns itself along the field lines and aids the flow of the eletric lines. It is for this same reason that it has a very low break down voltage. Contain it in a substance with a high break down voltage and the combined dielectric is lower than water, but higher than that of the insulating material. I don't recommend experimenting with electrolytic materials. They are fragile at best and difficult to work with (from an electrical and mechanical point of view).

Another interesting idea is that it may be possible to concentrate the e-field locally around the capacitor. This could be done if a material could be found that has a dielectric constant less than that of air (K of air is about 1). Cover the capacitor's outside with this material.

In a capacitor that has been charged to any particular value and disconnected from the power supply the voltage remains at the charged value. If a different dielectric material is introduced between the plates the voltage across the plates will change. When the dielectric constant is lower the voltage rises. Since the distance between the plates remains constant and the coulomb charge remains constant the voltage has to change. When the voltage across the plates is lower (higher dielectric constant) the e-field strength is lower (proportionally). A lower dielectric constant increases the e-field strength (proportionally). Increase the earth's e-field strength (locally) by introducing a material with a lower dielectric constant than that of air. Also, this is why the local e-field strength is lower when clouds are over head. Water has a much higher dielectric constant than air. Hence the local voltage gradient (e-field strength) is lower.

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