The Scariest Chart In Engineering | Veritasium

The Gist

The Smith Chart is considered the scariest chart in electrical engineering because it looks like a sci-fi wormhole and is notoriously difficult to understand, yet it successfully traps infinity inside a finite circle to solve complex power transfer problems.

Quick Overview

The Smith Chart solves one of the most paradoxical problems in electrical engineering by allowing engineers to achieve massive power transfer even when cutting transmission lines. Veritasium explores the origins of this terrifying chart, which has had millions of copies printed and is built into modern software, by printing the largest version in the world to explain its underlying physics.

Key Points: The Smith Chart is widely feared by undergraduate engineering students and is often described as looking like a sci-fi wormhole or black magic. Despite its intimidating appearance, millions of copies of the chart have been printed and it is integrated into the most advanced engineering software today. The chart solves a paradoxical problem in electrical engineering, allowing for high power transfer even after a line is cut. Veritasium tests the chart physically by printing the largest version of the Smith Chart in the world. While previous YouTube videos by creators like Zach Star have explained how to use the chart, they often miss essential details about why it looks the way it does. Understanding the chart requires looking at the actual physics behind the circles and what an engineer is looking at initially. The central mathematical witchcraft of the Smith Chart is its ability to trap infinity inside a finite circle. Tracing the history of the chart requires going back one hundred years to its origins.

Context: Electrical engineering students often encounter deeply complex mathematical tools that govern high frequency circuits, transmission lines, and impedance matching. Among these, the Smith Chart stands out for its dizzying array of overlapping circles and spirals, inspiring both dread and awe across generations of engineers.