Dozenalism

Adventures in Numbers, Measurement, and Math
 

TGM and Electromagnetism


Electricity is everywhere; to help understand it better, think of electricity flowing through a wire as similar to water flowing through a pipe. The power source---such as a battery---is the pump, the thing that drives the electricity through the wire. The pressure of the water is the voltage of the electricity, more properly called its potential difference (in a TGM future it will probably be called "pellage," named after its unit just as "voltage" is). The flow---volume over time---is the current, or "amperage" (doubtlessly to be called "kurage" one day, by the same analogy); this is like the amount of electricity flowing. Resistance is just a clog in the pipe.

Current

If we place two wires one Grafut apart and parallel to each other and run one amp of current through them, they will push away from each other with (decimal) 2x10-7 newtons of force. That force is equal to about 4;0X ennciaMag (9Mg). To make that force equal to exactly one ennciaMag, we must reduce the force to 0.495722069 amps. This we make the unit of current, the Kur:

Kur (Kr) = 0;5E47 amp

So six hexiaKur (6Kr) is very close to one microamp (μA).

The unit of power in TGM is the Pov; electric potential, or "voltage," is related to the Pov in that it measures electrical work over time (while the Pov measures work over time); therefore, we divide the Pov by the Kur to get our unit of electric potential, the Pel:

Pel (Pl) = Pv/Kr = 607;3167 V

This unit gives one triciaPel (3Pl) as a little more than half a volt; a car battery runs a little less than two biciaPel (2Pl).

Resistance, the clogs in our electrical pipes, is measured in the amount of electric potential reduced per unit of current; in other words, Pel over Kur. This is volts per ampere in SI, and is called the ohm (Ω); in TGM, it is the Og:

Og = Pl/Kr = 1025;6860 Ω

The Og is a much more practically-sized unit than the ohm, which is much too small. We commonly see units of kiloohms (kΩ) and megaohms (MΩ) even for quite mundane items.

Electrical quantity, or current over time, is measured in SI by the coulomb (C). In TGM it is measured in Quel:

Quel (Ql) = Kr/Tm = 1;0487 C

The Quel gives us many units of a scientific nature; for example, the charge of a single electron is about 4;1691 unpentciaQuel (15Ql); the gives us the electron-Volt (eV), when considered instead as the electron-Pel (ePl), is 4;1691 unpentciaWerg (15Wg). Note that eV and ePl are identical in terms of their actual charge; they are simply expressed in different units.

Capacitance is an important phenomenon in the design and measurement of the uncreatively named capacitors. In SI metric, this is measured in farads (F), which are coulombs per volt (C/V); in TGM, it is the Kap:

Kap (Kp) = Ql/Pl = 82;9433 μF

In opposition to the ohm, the farad is really much too large; the most common measurements in farads are in microfarads (μF) or picofarads (pF), while the Kap provides a much more reasonably-sized unit.

Magnetism

Many of our units of magnetism are dependent upon the ways that the magnetism was produced; while there are natural magnets, most are produced with electricity. Therefore, we begin with a unit for the production of magnetism by means of electricity, the Kurn.

When we wrap a wire into a coil, perhaps around a magnetic core, and run a current through that wire, the current magnetizes the space around it, and the magnetic strength will be stronger depending upon the number of turns of the wire. In SI, this is measured in ampere-turns; in TGM, we have the Kurn:

Kurn (Kn) = 1 Kr x 1 turn = 0;5E5 ampere-turns (At)

The strength of the magnetic field is called its magneto-motive force per unit of distance; since the Kurn is the magneto-motive force, we combine this with our unit of distance, the Grafut:

Magra (Mgr) = Kn/Gf = 1;816 At/m

Magnetic flux and magnetic flux density, in SI the weber (Wb) and the weber per square meter (Wb/m2), are in TGM the Flum and the Flenz:

Flum (Fm) = 107;31 Web
Flenz (Fz) = Fm/Sf = 1002;1 Wb/m2

The permeability of a substance---roughly, the degree to which it is subject to magnetism---is an odd-looking unit in SI, composite, made up of webers per ampere-turn-meters; in TGM, there is the Meab:

Meab (Mb) = Fz/Mgr = 720 Wb/At x m

Magnetic flux travels in circles, and as a result, a factor of π becomes important when we're talking about permeability. Permeability varies greatly from substance to substance. Free space also has a permeability, which is equal to 2π ennciaMeab (9Mb).

We've seen that electric fields generate magnetism; magnetism also makes electricity, a phenomenon generally known as generation, and the machines which do it called generators. Moving a conductor through a magnetic field will cause an electric current to flow through that conductor; producing an electric current in this way is called inducing a current, and the phenomenon is called inductance. In SI, this is measured in henrys (H), or volt-seconds per ampere (V x s/A); in TGM, it is measured in Gen:

Gen (Gn) = 215;16E8 H

There are a number of other units used for various electromagnetic phenomena, but this will suffice as an overview. We now proceed from electromagnetics to chemistry.