[OOC][PLOT] The Return of Planning for Arc 1 - Arrivals

[Black Aeronaut]

Rob, you may be looking for Centimeter-Gram-Second measurement units such as the Dyne, Maxwell, Gauss and Oersted.  Unfortunately, without being able to measure Misaka's magnetic field in Oersteds, it's going to be very hard to tell how much power she is generating.

OH!!!  FRANKLINS!!!

Basically, the Franklin unit (aka Statcoulomb) is defined as follows: if two stationary objects each carry a charge of 1 Fr and are 1 cm apart, they will electrically repel each other with a force of 1 dyne.

This is related as F=(Q1*Q2)/r^2, where F= force in dynes, Q1 and Q2 are the charges of the respective objects in franklins or statcoulombs, and r= the distance between said objects.

The dyne is defined as "the force required to accelerate a mass of one gram at a rate of one centimetre per second squared".

Now, Wikipedia says that when performing dimensional analysis on Coulomb's law, the dimension of electrical charge in cgs must be [mass]1/2 [length]3/2 [time]−1. (This statement is not true in SI units.) We can be more specific in light of the definition above: Substituting F = 1 dyn, q1 = q2 = 1 statC, and r = 1 cm, we get:

1 statC = (g^1/2) (cm^3/2) (s^−1)


So: (50,000^1/2)(5,000,000^3/2)(3,600^-1) = 434,027,777,777,777,777,777.8

Helluva number there.  Oh, and multiply by 2, because that only gives us the charge in franklins for one object, and she's charging TWO.

So Mikoto is pumping out 868,055,555,555,555,555,555.6 franklins in total.

Now, Wolfram Alpha happens to have a nice little conversion formula that turns that into the equivalent electrical charge in Coulombs.

So we get 289,552,165,970.62 Coulombs.

Which translates directly to Amperes.

Rob.  You got a monster on your hands.  At 120v AC with that kind of current, she can pump out 34,746,259,916,474 watts.

EDITED BECAUSE OF ERROR.