1.1.14 · D2Electricity & Charge Basics

Visual walkthrough — Read and interpret circuit schematic symbols

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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.

Figure — Read and interpret circuit schematic symbols

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.
Figure — Read and interpret circuit schematic symbols

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.

Figure — Read and interpret circuit schematic symbols

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 .
Figure — Read and interpret circuit schematic symbols

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)

Figure — Read and interpret circuit schematic symbols

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).
Figure — Read and interpret circuit schematic symbols

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)

Figure — Read and interpret circuit schematic symbols

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

Figure — Read and interpret circuit schematic symbols

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

Concept Map

battery lifts by

resistor ramp

LED cliff

solve

LED backwards

no resistor

Node = one height

EMF rise

Drop equals I times R

Fixed drop 2 volts

Land back level

Current equals 20 mA

Zero current dark

Current explodes burns