First Light

The Resistor

⟨ fragment 03 · transmission begins ⟩

We striped its skin with its own name, so no dust or flood could wash the label away. The stripes are still on every bench. Learn to read them.

⟨ transmission ends ⟩

By the end of this page you will read any resistor’s value straight off its body, order the values that actually exist, and pick a wattage so the part runs warm instead of dead. This is the whole craft of the world’s most common part.

A resistor wears its value as colored stripes. Read them from the end whose stripe sits closest to it: the first two stripes are digits, the third says how many zeros follow, and the last is the guarantee: gold means the true value is within 5% of the printed one, silver within 10%. The chart beside the bench gives each color’s digit. Big values shorten with a prefix: k is kilo, a thousand, so 2 200 Ω is written 2.2 kΩ. Below, three parts wait to be read: set the three wheels to what the stripes say.

Instrument 01 · read the stripes
Read the stripes with the chart, then click the wheels: top half steps up, bottom half steps down.
PART R

Three real 5% parts: yellow-violet-brown is 470 Ω, red-red-red is 2.2 kΩ, brown-black-black is 10 Ω. The black third stripe means no zeros at all: black is 0 everywhere.

Parts too small for stripes print the same system in digits. On a chip resistor the last digit counts the zeros: 471 is 47 followed by one zero, 470 Ω. When the value needs a decimal point, an R stands in for it: 4R7 is 4.7 Ω. Below, each chip prints its code; name the value it means.

Instrument 02 · the small print
The last digit counts the zeros. Which value does the code mean? Tap it.
PART VALUE

Drawn about 12× life size; the small outline next to each chip is its true 2 mm footprint. 471 and 222 are the very parts you just read as stripes, in their surface-mount skin. 103 is new: 10 with 3 zeros.

Now the strange part: you cannot buy every number. No shop stocks a 50 Ω resistor, yet every shop stocks 47 Ω. The reason is the guarantee. Each value is only promised to within its tolerance, so manufacturers space the values just far enough apart that the guarantee ranges cover the whole number line, each range reaching toward the next. Slide the tolerance below and watch the family of values grow.

Instrument 03 · the values that exist
Step the tolerance: 20%, then 10%, then 5%.
VALUES

The families have names: 12 values per decade is the E12 series (10% parts), 24 is E24 (5% parts). Ever-finer series exist: 1% parts use E96, 96 values per decade. The dashed 50 never appears: it always sits inside a neighbor’s guarantee. Look closely at the reach line: the rounded values leave hairline slivers between some guarantees, widest near 14 Ω at ±5%; the finer families cover what the coarse ones miss.

So the bench habit has two steps: compute the number, then buy the nearest value that exists. In The Three Numbers the recipe asked for 473 Ω and the bench used 470 Ω; that was this habit at work. The drawer below holds the neighboring E24 values. The seat is the same 9 V LED loop, aiming for 15 mA.

Instrument 04 · round to what exists
The recipe said 473 Ω. Drag the nearest real value into the seat.
R I

The loop from The Three Numbers: 9 V supply, the LED keeps 1.9 V. Seated, 470 Ω carries 15.1 mA, as close to the 15 mA aim as the drawer can land; 430 Ω runs 16.5 mA and 510 Ω runs 13.9 mA.

One choice is left, and it is the one that burns parts: how much heat the resistor can shed. Everything a resistor fights becomes heat in its body, and the heat has a simple price:

electrical power
P = V × I
P — power, in watts (W): the heat the part must shed every second
V — voltage, in volts (V): across the resistor itself, never the whole supply
I — current, in amps (A): the flow through the part

With V = IR from The Three Numbers the same price reads P = I² × R or P = V² ÷ R, whichever pair you know. Every resistor is sold with a rating: 1/8 W, 1/4 W, 1/2 W, 1 W and up, bigger body for bigger rating. The rating is a ceiling, not a comfort zone: a part run at its ceiling gets very hot and its value drifts. The bench habit: work out the heat, double it, and buy the next rating above that. The seat below drops 10 V at 19.6 mA; pick its body.

10 V × 0.0196 A 0.20 W of heat in the seated resistor below
2 × 0.20 W = 0.40 W; the next rating above is 1/2 W
Instrument 05 · warm, not dead
The seat makes 0.20 W of heat. Drag a body from the bin into the seat.
P RATING LOAD

12 V supply, the LED keeps 2 V, so the 510 Ω resistor gets 10 V and 19.6 mA: 0.196 W. The 1/8 W body sits at 157% of its ceiling and burns open; heating is shown over a few seconds, faster than a real part fails. The 1/4 W body survives at 78%, running hot enough to drift.

Stripes are digits. two digits, then the number of zeros; gold guarantees ±5%, silver ±10%
Printed codes count zeros too. 471 is 470 Ω; an R marks the decimal point, 4R7 is 4.7 Ω
Only some values exist. the E-series space values so guarantee ranges tile; buy the nearest
Heat is P = VI. with the volts across the part itself, never the whole supply
Twice the room. double the computed heat, then buy the next rating above it

When you are ready, test yourself:

A resistor is banded brown-black-orange, then gold. Its value?

A chip resistor prints 334. Its value?

A resistor must drop 6 V at 50 mA. Which rating do you buy?

You compute 250 Ω and shop a drawer of 5% parts. Which do you order?

You can now read, choose and size the part that appears in nearly every circuit ever built. What you cannot yet do is check one: measure what a real resistor, wire or battery is actually doing. That instrument, the multimeter, is the next fragment, The Meter.

Lesson 3 done.

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