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Why the most-built circuit gets hot (the math)

A 7805 taking 12V down to 5V, and the one line of math that tells you whether it needs a heatsink.

Component side layout of Why the most-built circuit gets hot (the math) on a perfboard 16 by 28 holes
16 × 28 holes · 8 parts · 10 wires

Free build sheet

The parts, every wire with its length and bend points, a bend guide, both sides of the board and checkboxes to track your progress. Print it or keep it open at the bench.

Open the build sheet

What you need

8 parts on a perfboard 16 × 28 holes, plus hookup wire.

QtyPartWhere to buy
1
Electrolytic Cap10uF
C1
Buy Electrolytic Cap on Amazon
2
Ceramic Cap100nF
C2, C3
Buy Ceramic Cap on Amazon
1
Power Input (2-pin)
J1
1
Screw Terminal 2P (5.08mm)
J2
1
LED
LED1
Buy LED on Amazon
1
TO-220
Q1
1
Resistor (axial)330
R1
Buy Resistor (axial) on Amazon

Check every pin against the datasheet of the exact part in your hands before wiring.

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Cut list

10 wires, 255 mm (10.0 in) in total, in the order the build sheet cuts them. Wire numbers match the build sheet. Each length includes 5 mm per end to go through the hole.

WireColour and netLength
6
BlackGND
E5 → G8
23mm
5
Blue5V
C14 → C23
33mm
4
Green5V
H16 → D15
23mm
10
GreenGND
G23 → K25
25mm
1
Red12V
D5 → H6
23mm
7
RedGND
H9 → E13
28mm
3
White5V
K17 → I17
15mm
9
WhiteGND
H19 → F22
23mm
2
Yellow12V
C4 → C12
30mm
8
YellowGND
C13 → G18
33mm

About this build

A 7805 linear regulator taking 12V down to 5V for a 200mA load off the board. The board itself is simple: the regulator, a 10uF and a 100nF on the input, a 100nF on the output, a 330 ohm resistor and a power LED, and a screw terminal that hands the 5V rail out.

The interesting part is the heat. A linear regulator burns the difference between input and output as heat: P = (Vin - Vout) x I, so (12 - 5) x 0.2 = 1.4 W. A bare TO-220 with no heatsink is specified at 65 C/W junction to ambient, which puts the junction about 90 C above the room.

Feed it 7V instead and the same load costs 0.4 W. If you get to pick the input voltage, pick the lowest one that still leaves the regulator its headroom.

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