A digression on jargon and exploration of some basic concepts
Here comes the boring bit-- skip it if you like or read it for the laughs.
One reason many get turned off of electronics is the confusing terminology. Electronics is a wonderland, and the caterpillar is in charge: "When I use a word it means exactly what I intend it to mean and nothing else".
As near as I can tell, the terms in the formulas either come from physics definition of the effects or the units used to measure these effects. Some folks try to be consistent, using only the physics or measurement terms, but you will also see them mixed indiscriminately. (Wikipedia favors V for voltage and I for current.)
E is for Electromotive force, measured in Volts (V) and usually called voltage. Occasionally you will see the symbol U, or the full acronym EMF. It's not really a force, it's more like an urge to get a charge from one place to another. Like distance, voltage only has meaning if you know where you are measuring from. Thus a voltmeter has two leads, and displays voltage between one lead and the other. (It actually bleeds a bit of current from the circuit and measures that.) Circuit schematics always have a reference point for 0 volts called "ground" (or "earth" across the pond). This dates to the days of the telegraph, when the circuit was completed by driving a stake into the ground at the transmitter and receiver. The ground symbol is a little drawing of that:
Over the years, ground has come to mean more than 0 volts. For one thing, it is a shorthand for a lot of wires-- you just put that symbol on everything you want connected back to the battery. It also implies a connection to a metal chassis, the only part of a circuit the end user is allowed to touch. (Note that it is not always connected to the safety ground of your three wire house power. We tend to use the earth symbol for that.) Ground is also used to connect any electromagnetic shielding the device needs-- this may be knitted wires around a cable or a big area of a circuit board (ground plane).
It is perfectly reasonable to measure a voltage of less than 0, i.e. a negative value. This just means the current will flow the other way, from the black wire on your meter toward the red one.
I is for Intensity of current, or just current, measured in Amperes (A). My guess is I is used because C was already taken. Current is the movement of charge through a circuit. The idea that electricity is some kind of fluid flowing in a wire came from Ben Franklin. All he had was some glass and silk, and had to make a guess about which way the electricity was flowing. Unfortunately, he guessed wrong, to the consternation of ee students ever since. When electrons were discovered, it turned out they move from negative to positive. Rather than correct Franklin, physicists invented negative charge, and assigned electrons a charge of -1. Even today students have to go to physics class and see diagrams of electron flow from - to +, then go to ee and see current flow from + to -. When the physics and electronics overlap, we speak of the movement of "holes", places were an electron could be but isn't.
[Just for added confusion, the electrons are not moving that much-- what moves is the net charge (balance between electrons and protons in their host atoms), and that is a wave phenomenon, like sound.]
Voltage will make current flow if it has a path to follow. Most of our voltage sources provide current from one end and accept (sink) it at the other. Attach a wire to both ends of a battery and current happens.
You can see why we call these things circuits.
Resistance is the property of a material to oppose the flow of current. I've never seen anything but R used to symbolize resistance. The unit of resistance is an Ohm (Ω). [There is a complimentary concept called conductance, the inverse of resistance. Its symbol is σ (sigma) and its unit is the Mho (really!).] I=V/R describes the state of affairs when current is flowing steadily. If we try to change the current, calculus happens, and I'm not going into that here. Steady current calculations are all we need to keep from burning things up. Usually we need to know the current from the voltage and resistance, so I=V/R serves nicely, but when we want to pick a resistor to limit the current given a voltage we need the R=V/I form. (I'm a bit dyslexic, so I keep those formulas posted above my desk and workbench.)
The resistance of a circuit is everywhere in the circuit, but it is not distributed evenly. It usually occurs in lumps, and when we theorize about circuits we put all of the resistance in one place, represented by a wiggly line. If we break the resistance into two lumps, the voltage is distributed proportionately over the two:
That is because Ohm's law is true for any piece of the circuit as well as the circuit as a whole. All of the current flows through both resistors, so if we calculate the V across R2, it will be the same fraction of total V as R2 is of total R. Two resistors arraigned this way is called a voltage divider and is very useful. If we had two resistors in parallel across the battery, each would follow the law and we'd pull more current, the sum of what's through each resistor. This sort of thing leads to a couple of weeks of homework for ee students and is usually on the final.
Flowing current produces some side effects, which is why we bother in the first place. One effect is a magnetic field, and the strength of the field is proportional to the amount of current. We can measure a current by measuring the magnetic field. Cheap meters do this by steering the current through a coil (to intensify the field), but you need to break the circuit to measure. There are meters that can measure the field around a wire directly, but they don't work well with the tiny currents we use.
The other major side effect of current flow is heat, which is good sometimes but is usually a problem. Any device will burn up if enough current is run through it. On the other hand every device needs a certain amount of power to get its work done. We are always trying to thread a needle with a hole determined by the power required for something to do its job and the power handling ability of the other parts of the circuit.
Power is measured in Watts (W), and symbolized by P. Power is voltage times current. P=E*I or W = V*A are the formulas you see. They don't include resistance, but we often need to know what power resistor to use with a given voltage. The formula P=V2/R (remember your algebra?) will tell us. If we want to put 5 volts across a 62 Ohm resistor it had better be a 1/2 watter. P= 52 / 62 = 25/62 = 0.4.
Next lesson will be practical, I promise.
pqe