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Level 2 · The Parts Catalog

The Parts
Catalog.

The rules, made real.

Five components that turn the water rules into machines: the valve that amplifies, the one-way gate, the wave, the flywheel, and the chip that keeps time.

Fathohm Field Guide · Volume 2 of 3 · 2026
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Level 2 · Contents

The real
components.

Level 1 gave you the five rules of flow. Each part here is one of those rules, packaged: a thing you can hold, drop into a breadboard, and build with. If a term feels unfamiliar, it's defined back in the Level 1 guide.

The five parts
Back matter
The Parts Catalogi
Chapter 06 · The Transistor

A valve made
of electricity.

The most important invention of the century is a tap that water turns on by itself.

Imagine a tap where a trickle of water in a side pipe pushes open a flood in the main pipe. A small flow controls a large one. That's a transistor: a little current at its control leg (the base) lets a much bigger current run through the other two (collector to emitter).

Two superpowers fall out of that. As an amplifier, a faint signal at the base becomes a strong copy in the main flow. As a switch, a control signal turns the main current fully on or off — no human finger required. Because one circuit can now flip another, machines can think.

I_c ≈ β × I_b
β (beta) — the gain, often 100–300. A 0.1 mA base current can steer 20 mA in the main path.
A tiny flow opens a big one. Stack that trick and you get every amplifier, radio, and computer ever made.
The Transistor2
Chapter 07 · The One-Way Valve

Flow that only goes
one way.

A diode is a one-way valve in the pipe. Push forward and water flows; push back and it slams shut.

A diode lets current pass in one direction and blocks it in the other — exactly like a check valve. It costs a small, fixed push to open (about 0.7 V for a silicon diode, a little less for an LED's red glow), and above that it conducts freely. Reverse the push and nothing gets through at all.

That one-way behavior is how you protect a circuit from a backwards battery, how you steer current where it should go, and — pointed cleverly — how you turn the back-and-forth of AC into the steady push of DC. An LED is just a diode that spends its forward push as light.

One-way for current. Costs ~0.7 V to open, blocks completely in reverse. Direction is the whole point.
The One-Way Valve3
Chapter 08 · The Wave

Steady push, or
back and forth.

Some sources push one steady direction. Others slosh the water back and forth many times a second.

DC — direct current — is water pushed steadily one way, like a barrel draining downhill. A battery gives DC. It's simple, calm, and what most of your circuits run on.

AC — alternating current — sloshes back and forth instead, reversing many times each second. The wall outlet is AC, swinging 50–60 times a second (50–60 Hz). Why bother? Because AC's pressure can be stepped up enormously high for efficient travel across the country, then stepped back down — something DC can't do as easily. That's why the grid is AC and your gadgets quietly convert it back to DC.

f = cycles per second (Hz)
One hertz is one full back-and-forth each second. Mains is 50–60 Hz; radio, millions.
DC pushes one way forever. AC reverses on a schedule. Frequency counts how often.
The Wave4
Chapter 09 · The Flywheel

A part with
momentum.

An inductor is a heavy paddlewheel in the pipe. It hates to start, and once spinning, hates to stop.

Drop a weighty waterwheel into the flow. When you first push, it resists — all your effort goes into getting it turning, and current rises only slowly. But once it's spinning, it carries momentum: cut the push and the wheel keeps the water moving for a moment, even forcing it along.

An inductor does exactly this with current. It opposes changes in flow — slow to rise, slow to fall. That stored momentum lets it smooth bumpy currents, and, paired with a capacitor, ring back and forth like a pendulum. Where a capacitor resists changes in voltage, an inductor resists changes in current — perfect mirror images.

Capacitor: fights voltage change, stores in a field of charge. Inductor: fights current change, stores in a spin.
The Flywheel5
Chapter 10 · The Blinker

Putting it together:
a heartbeat.

A bucket that fills and a switch that flips at the brim. Repeat forever, and you have a clock.

Here's the trick that runs every blinker, beeper, and clock. Let a capacitor fill through a resistor (Level 1's bucket and pinch). Watch it with a switch that flips when the bucket hits a line, dumps it, and lets it refill. Up, down, up, down — a steady rhythm born from parts that, alone, just sit there.

Build it from scratch with two transistors and you get the classic flip-flopping blinker. Or reach for the 555 timer — a chip that packages the whole idea: three resistors set the ⅓ and ⅔ marks, two comparators watch the bucket, and a flip-flop runs the output. The cap sawtooths between ⅓ and ⅔ of the supply, forever.

f = 1.44 / ((R_A + 2·R_B)·C)
The 555's blink rate. Bigger resistors or bucket → slower blink. This is the Beacon's heartbeat.
Storage + a threshold + a switch = rhythm. Every clock in the world is some version of this.
The Blinker6
Back matter

Glossary of
the parts.

The Level 2 components, each tied back to the water.

Transistor
A valve of electricity. A small base current controls a large main current — amplifier and switch in one.
Diode
A one-way valve. Conducts forward above ~0.7 V, blocks in reverse. An LED is a diode that glows.
DC / AC
Direct current pushes one steady way; alternating current reverses many times a second. The grid is AC; your gadgets run on DC.
Frequency f · hertz
How many full back-and-forth cycles happen each second. Mains is 50–60 Hz; radio, millions.
Inductor L · henries
A flywheel. Stores energy in a magnetic field; resists changes in current. The mirror of a capacitor.
555 timer
A chip that turns R and C into a steady blink, by watching a capacitor cross ⅓ and ⅔ of the supply.
Glossary7
Ω

You know the parts. Now build something.

Level 3 — The Build — takes you to the bench: the breadboard, the Beacon, and a growing shelf of projects you wire with your own hands.

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