Visual walkthrough — Read and interpret circuit schematic symbols
This is the visual companion to the parent topic. We go slower and draw more.
Step 1 — WHAT a wire and a node are (the empty stage)
The "height" here is called electric potential — a number, measured in volts (), that tells you how much push charge feels at that spot (built properly in Electric Potential and Voltage). The whole reason a schematic is useful is this: shape does not matter, only which points share a node.

Look at the figure. The bent wire on the left and the straight wire on the right are, electrically, the same thing — both are one node, one plateau. The two blobs of colour mark two different nodes. Nothing has happened yet; this is our empty stage.
Step 2 — WHAT a battery does (it builds a height difference)
- — the electromotive force, i.e. the guaranteed potential difference the battery holds between its two terminals no matter what.
- — our chosen value: the plateau sits 5 volts above the plateau.

Step 3 — WHAT a resistor does (Ohm's law as a ramp)
- — the voltage drop: how much the plateau falls from the resistor's entry to its exit (volts).
- — the current: how fast charge flows, measured in amperes (). One amp is a lot of charge per second.
- — the resistance: how narrow the pipe is, in ohms (). Bigger = steeper cost per unit of current.

The figure draws the resistor as a downhill ramp: charge enters high, leaves lower, and the amount it falls is exactly . The steeper you want the same drop, the more current — or the bigger the .
Step 4 — WHAT an LED does (a one-way cliff of fixed height)
When it does conduct, an LED behaves very unlike a resistor: it drops an almost fixed voltage no matter the current, called its forward voltage .
- — the fixed cliff height the LED demands to light up. Below across it, it stays dark; at conduction it "eats" exactly .

The figure shows the LED as a fixed-height cliff in the path — not a ramp. Whatever current flows, the fall across it is . The arrow on the cliff shows the only allowed direction.
Step 5 — WHAT the loop is (stringing the plateaus together)

Trace the figure with your finger: leave the terminal (top plateau), fall down the resistor ramp, fall off the LED cliff, arrive back at the terminal (bottom plateau). One continuous walk, one loop, one current .
Step 6 — WHY the drops must add up (Kirchhoff's Voltage Law)
Here is the key idea that lets us solve for . Walk the whole loop and return to where you started. You are back on the same plateau — same height. So every rise and every fall around the loop must cancel exactly. This is Kirchhoff's Voltage Law (KVL).
- — the height the battery lifts charge (a rise, ).
- — the fall across the resistor ( from Step 3).
- — the fixed fall across the LED ( from Step 4).

The figure is a height profile of the walk: up by at the battery, down by across the resistor, down by across the LED, landing back exactly at the start line. Total up = total down.
Now substitute and solve for the one unknown, :
- Numerator — the height left over for the resistor after the LED takes its cut.
- Divide by — because inverts to : the ramp converts leftover height into current.
That is the parent topic's central result, now earned from the height picture, not quoted.
Step 7 — The degenerate cases (never leave the reader stranded)

The figure lines up all four broken cases beside the working one so you can see at a glance which walks complete the loop and which dead-end.
The one-picture summary

One height diagram compresses the whole derivation: the battery lifts charge by , the resistor ramp gives back , the LED cliff gives back , and the walk lands exactly where it began — forcing , hence .
Recall Feynman retelling — explain the whole walk to a 12-year-old
Imagine a water park with two flat pools: a low pool and a high pool. A pump (the battery) lifts water from the low pool up to the high pool — that lift is 5 units high, that's the EMF. Now the water wants to slide back down. On its way it must go down a gentle slide (the resistor) and then over a fixed little waterfall (the LED) that lights up when water pours over it the right way. The waterfall always takes 2 units of height. Since the water ends back in the low pool at the exact same level it started, all the drops must add back up to the 5 units the pump lifted: , so the slide takes units. How fast the water flows depends on how gentle the slide is — a steeper narrower slide (bigger ) lets less through. With our slide, the flow works out to 20 little water-drops per moment — that's the 20 milliamps. Turn the waterfall the wrong way and no water flows; take away the slide and the water crashes down too fast and breaks the light. That's the whole circuit.
Connections
- Ohm's Law — the ramp rule behind Step 3
- Series and Parallel Circuits — why one loop means one current (Step 5)
- Kirchhoff's Voltage Law — the "land back at the same height" law (Step 6)
- Electric Potential and Voltage — what "height / plateau" really means (Step 1)
- Diodes and LEDs — the one-way cliff (Step 4)
- Grounding and Reference Voltages — choosing the zero of height