…the Sun!

The (approximate) vital stats of this huge gravitation-powered fusion reactor:
- Diameter: 1.392e6 kilometers (109 Earth diameters)
- Volume: 1.412e15 cubic kilometers
- Surface area: 6.087e9 square kilometers
- Mass: 2e30 kilograms
- Surface temperature: 6000 Kelvin
- Core temperature: 13.6e6 Kelvin
- Instantaneous radiative power: 382.7e24 Watts (make a note of this!)
- Instantaneous mass loss due to mass-energy conversion: 4.3e9 kilograms/sec.
So, what does this mean for humanity?
A damn lot of exploitable energy, that’s what it means!
Outside the atmosphere, the Earth receives circa 1366 Watts/m² (also known as the solar constant), which begins to sound really impressive when you consider that every square meter of Earth’s cross sectional area (= 128e6 km²) receives this amount of energy, for a grand total of 174.08e15 Watts - every second, all year long.

Of course, our atmosphere sucks up a bit of the solar radiation (including the potentially harmful UV-light in the shortwave bands), so we do not see all of this energy on the surface of the Earth. The insolation of Earths surface is slightly less than the solar constant; on a clear day, approximately 16% of the visual-band solar energy is absorbed by the gases and vapors in the atmosphere. That leaves us with 1147.5 Watt/m² to play with, at best.
For those of us who reside in the temperate regions of this Earth, we have to factor in that the sun is never at the zenith of the sky, so we have to angle up our solar receivers to catch as much of the photonic energy as possible. For example, here in Denmark (which is on the 56th northern latitude), a surface that is arranged horizontally on the ground soaks up around 1000 kWh/m²*yr, and if angled up at 45°, it will receive ca. 1200 kWh/m²*yr. Assuming a 12-hour day on average (the definition of the equinox), that means my potential solar panel will, averaging over a whole year, receive ca. 833 or 1000 Watts per square meter, for the above cases. (Again, this assumes that the weather is always clear, which is clearly unreasonable.) A dependable figure for long-term time-averaged insolation of areas typically clear of clouds and haze is 250 Watts/m², which also accounts for the nighttime absence of the suns rays.
In the future, “smart” solar receivers will angle themselves to maximize energy capture, depending on the latitude the solar panel is operating on. In wintertime on the Tropic of Cancer or the Tropic of Capricorn, you need to angle the panel at most 64° from the ground; here in Denmark we would need to angle the receivers up to 79° from the ground for optimal reception. On the other hand, if you live exactly on the equator, you would never need to angle the solar panel more than approx. 23° from the ground for optimal reception! (All this is due to the fact that the Earth’s axis of rotation is off by 23.5° compared to the Ecliptic. Geometry is interesting stuff.. :)
Now, how much energy does that leave us, realistically?
A typical, mass-produced, Poly-Chrystalline Silicon Photo-Voltaic (PV) solar panel today has a practical conversion efficiency that lies between 13 and 16% of the incoming photonic radiation. Of course, there are more advanced types of PV technology out there, which have higher efficiencies, but they are much more expensive and not commonplace, so for now, we shall assume that we can harvest 1/6th of the solar energy we receive from the sky.
250 Watts/m² divided by 6 is 41.67 Watts/m² (as a daily average). Let us assume that humanity as a whole currently consumes 12e12 Watts; that means we would have to produce a lot of PV panels to harvest enough energy for our human purposes:
12e12 Watts / 41.67 Watts/m² = 287.98e9 m² = 287.98e3 km²
So, with current-day technology, we need to erect ca. 288 thousand square kilometers of PV panels in the sunnier spots of the Earth to supply humanity with energy solely from the Sun. More, if we are to keep electricity generation local, to avoid using the lossy power grids.
Let us look further, and try to account for the future:
First, we must assume that humanity’s energy consumption as a whole will increase substantially; not because we in the industrialized world will consume more energy (we are already working on reducing our energy consumption), but because the developing world is rising in living standards, and they will want the same level of comforts as we do today in the western world; cars, computers, lighting, air conditioning and so on. And also, because the human population of Earth will probably double from today’s 6 billion to around 12 billion by 2100 or so. All these people need energy to go about their daily lives.
If we choose a round number and assume that to total energy use of humans will increase by a factor of 10x the next 50 years, then we will need 2.88 million square kilometers of PV panels to supply the Earth with power. This sounds like an awful lot, but keep in mind that the total surface area of the Earth is 2.82e17 square kilometers, so if we are to succeed in this mission, we would actually only cover a hundredth of a billionth of the total surface area of the Earth. Or expressed in figures: ≈ 0.00000000001 or 0.000000001%.
Now, that was an estimate in the pessimistic direction - lets look the other way:
PV technology will surely improve!
Already we have PV tech with an efficiency rating of around 33%, and with the nanotechnological fabrication advances that are constantly being made, we are closing on the magical 50% mark. Assuming we reach that, we would only need a third of the above total PV panel area to satisfy the total future energy needs of humanity - and that would amount to 960,000 square kilometers.
If we shoot high and hope for a very-high efficiency PV technology to be available to us in the future, 83% efficiencies are not reserved for the realm of the fantastic - with that, we would “only” need 576,000 square kilometers of PV paneling spread around the Earth.
With the future offering us unimaginably colossal manufacturing capacity via fully automated factories and molecular assemblers, this shouldn’t be an unreasonable goal for humanity. All we lack is the will to proceed.