How Powerful would a Star Be in Various Sizes?

[ZoroNotZolo]

How powerful would a star be if it was the size of these objects?

A baseball

A basketball

A cannonball

 

[LightinAnt]

Probably Large Building level for all of them, though i'm no expert on physics and scaling heat and volume so i could be immensily wrong. I'm judging this by enviromental destruction as in a star just randomly being in vicinity. though a Super Nova of a Star is astronomically more powerful so idk

 

[ZoroNotZolo]

Bump

 

[ZoroNotZolo]

Bump

 

[Skalt711]

I doubt that the star would even exist in such sizes, so it's hard to say how powerful a star would be because a baseball, basketball or cannonball sized star can't hold its own mass (it is mostly plasma) by its own gravity, thus it can't exist.

 

[Skalt711]

Let's imagine that the star's mass is held by some magic. Now we can estimate how powerful would be a star!

The first thing that we must to do is how hot should be the material of the star in order to self-ionize. Sadly, I can't help with it, I'm sorry . There are some values in Wikipedia, but I don't believe them.

Edit: Thanks for the question, anyways.

 

[Skalt711]

Update: I can finally answer to your question!!

You see, stars are pretty tricky to work with. I don't know how the nuclear reactions would happen in such small star because they'll likely never happen, I'm not quite at atom science.

So, we will do a trick: we'll measure the energy of the 'star' through the radiation energy, ignoring nuclear reactions. Let's say, the energy of a newborn 'star'. Its birth is the ionization of its own mass through a high enough temperature.

The Sun's most dominating material is hydroge (~73%), which has the 1st (and only) ionization energy at 13.59844 eV, which equals 157803.1649722 K (Holy crap!!!). Note that 1 eV is 11604.505 K.

Now let's calculate the radiation energy of such star! We need temperature T (Known as 157803.1649722 K), emissivity ╬Á (Tricky one! I'm noob at hydrogen plasma emissivity, so I'd highballing it at 1), surface area A (varies) and the Stefan-Boltzmann Constant ¤â (5.67 * 10-8 W/m2*K4).

The formula for the radiation energy calculation is P = ╬ÁA¤âT4, where P is measured in watts (J/s), A is measured in square meters, ¤â is measured in W/m2*K4 and T is measured in Kelvins.

The formula for the surface area is A = ¤Çd2, where A is measured in square meters and d is measured in meters.

Let's go!...
A baseball-sized star's power is W = ╬Á¤Çd2¤âT4 = 1 * 3.14159 * 0.073662 meters * (5.67 * 10-8 W/m2*K4) * 157803.16497224 Kelvins = 599320083379.7869 W (J/s), which would equal to 8-A, Multi-City Block level tier.

A basketball-sized star's power is W = ╬Á¤Çd2¤âT4 = 1 * 3.14159 * 0.2405382 meters * (5.67 * 10-8 W/m2*K4) * 157803.16497224 Kelvins = 6390911351435.709 W (J/s), which would equal to Low 7-C, Small Tow tier.

A cannonball-sized star's power is W = ╬Á¤Çd2¤âT4 = 1 * 3.14159 * 0.82 meters * (5.67 * 10-8 W/m2*K4) * 157803.16497224 Kelvins = 7.069283136340*1013 W (J/s), which would equal to 7-C, Town level tier. (Tsar Cannon is a shotgun, not a cannon, which is a common misconception)

 

[Andytrenom]

http://web.archive.org/web/20170405...ower-of-the-sun-in-the-palm-of-my-hand.36373/

Does this calc help?

 

[Skalt711]

http://web.archive.org/web/20170405...ower-of-the-sun-in-the-palm-of-my-hand.36373/

Does this calc help?

A baseball-sized sun, huh.

 

[Skalt711]

My typo about nuclear reactions: even if they'll happen in such a small star, that would be extremely quickly, thus there would be no resources in almost no time.

 

[ZoroNotZolo]

lol any where from 8-A to 6-C

Guess it works. I was working on a character was going to have a character perform a feat like that was going to be like High 6-B, so an Island level minature sun being a casual feat makes sense.