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I wonder how difficult it is to create an artificial planetary magnetic field with generators? What power they would need?

The question is inspired by thinking about possible colonization of Jupiter's moons Io and Europa which are located inside the Jovian radiation belt. Is it possible to create with easy means an artificial magnetic field such that it to shield the surfaces of these moons from radiation? Or it would require astronomical amount of power?

By easy means I mean a device that would not require power greater that normal industrial power plant, best of all, solar-powered or based on once-charged superconductor coils.

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Related question… – Jitter Jan 13 '14 at 8:00
Well another question that opens up now, is what is the benefit of a (weak) planetary field, in comparison to stronger local fields (like just for the settlements)? And at which level would a local field have the same (shielding) effect? – Kurtovic Aug 4 '15 at 9:52

According to this article the energy stored in the Earth's magnetic field is about $10^{26}$ ergs or $10^{19}$J. According to Wikipedia the annual global generation of electricity is about 20,000TWh, which is between $10^{19}$ and $10^{20}$J, so actually we already produce enough power to generate the Earth's magnetic field.

Actually doing it on a moon of Jupiter would be another problem. I suppose you could use nuclear power to avoid having to build an oil pipeline between the Earth and Europa, but even if the power were available I don't know if current technology is up to generating magnetic fields with that much energy.

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Well, humans produce enough energy, to cover the energy of the magnetic field. However it's not clear, which energy conversion efficiency can we reach, and how much energy should we spend to sustain created magnetic field. If we do use a superconducting wire, do we have enough resources to produce that much of it (and the cooling system)? – Fiktor Aug 12 '13 at 17:51
You seem to be comparing quantities with different units. By itself, the fact that there are $ \ge 10^{19}\,\mathrm{J}$ stored in the Earth's magnetic field tells you nothing about the power needed to generate it, because you also have to know how rapidly that energy is dissipated. If the dissipation time scale is about a year then fair enough, but otherwise comparing our annual energy production (Joules per year) to the total energy in the field (Joules) isn't terribly meaningful. – Nathaniel Sep 9 '13 at 8:05
@Nathaniel If we use energy to create current in a (super)conducting ring which makes a magnetic field, how does it "dissipate"? – Keith McClary Oct 1 '15 at 4:50
@KeithMcClary in the superconducting case it doesn't, as far as I know, though I am not an expert on superconductors. (In the case of a normal conductor it dissipates via Joule heating.) But that's just my point - if you're storing the energy in a system with no dissipation then you can generate the energy at as slow a rate as you like (slower just means it takes longer to spin it up) so the rate at which we generate energy isn't the relevant figure. – Nathaniel Oct 1 '15 at 4:59

This is assuming the earths magnetosphere is the minimum required to shield an object from cosmic rays which is, in fact, incorrect. Here is the what you need to figure out to calculate a satellite system to do what your proposing .. 1-what is the required minimum strength of a magnetic field so that it deflects virtually all cosmic rays and the solar wind. 2-how much power is needed to generate a field. 3-the amount of power solar collectors can generate at that distance or using radioisotope generators. 4- how many satellites will be needed to create an effective shield.

It should be noted that if Mars where to be colonized to make it habitable would require us to generate such a field as it has no internal Dynamo :3 the large hydron collider researchers should be able to answer this, check out their forums

On that note, I'm sure it's actually feasible if you can figure out a cheaper way to get into orbit then rockets.

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The most feasible method by which the artificial magnetic field can be generated is through placement of hundreds (if not thousands) of magnet satellites into the orbit of the target moon or planet all of which revolve at certain distance and velocity.These kind of satellites may use solar energy as their main source of energy which in fact lowers the energy costs for their global constant function. However, manufacturing and launching of this huge number of satellites will definitely remain a matter of enormous costs and resources that for sure ought to be mulled over.

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-1, there's no quantitative reasoning here. One could at least estimate a lower bound for solar panel surface area. – NeuroFuzzy Jan 13 '14 at 3:10

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