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Electronic Hardware Implementation, a free technology course on Tomo

Electronic Hardware Implementation

Bridge the gap between working bench prototypes and bulletproof physical hardware. Master power distribution networks, return current pathing, transmission line effects, and systematic bring-up diagnostics.

Like Duolingo, but for Electronic Hardware Implementation. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.

A short one: 12 levels across 2 sections, about 24 minutes end to end, roughly 5 days at five minutes a day. It moves through Physical Foundations: Power and Ground and Signal Integrity and Defensive Bring-Up.

12 bite-size levelsAbout 5 minutes each

Free forever · No credit card · iPhone & Android

Professor Proton the Pangolin, the guide who teaches the Electronic Hardware Implementation course
Electronic Hardware Implementation
with Professor Proton the Pangolin
12
Levels
2
Sections
5
Min/day
What you'll learn

Key ideas in Electronic Hardware Implementation

  • Capacitor ESL and mounting via loop area dictate impedance at high frequencies far more than schematic capacitance value
  • Placing opposing power and ground vias close together induces negative mutual inductance that partially cancels overall loop inductance
  • Trace length between capacitor pads and plane vias rapidly degrades high-frequency bypass effectiveness
  • Mixing decade-spaced capacitor values causes the inductive slope of the larger capacitor to resonate in parallel with the capacitive slope of the smaller capacitor, generating sharp anti-resonant impedance peaks
  • Paralleling identical low-ESL capacitors divides equivalent series inductance (ESL/N) without introducing mid-band anti-resonant poles between packages
  • Controlled-ESR capacitors or damping resistors are required if mixed decade values are combined on a shared plane
  • Bulk capacitors must supply charge exclusively during the dead time before the voltage regulator's control loop can respond (approximately t_response ≈ 1 / (2π · f_cross))
  • The minimum bulk capacitance is governed by C_bulk ≈ ΔI_step / (2π · f_cross · ΔV_allowed), independent of steady-state DC draw
  • Switching frequency ripple is handled by high-frequency ceramic caps, whereas load-step droop is bounded by bulk capacitance and loop crossover
  • The input hot loop (input capacitor, high-side FET, low-side FET) contains extremely high di/dt circulating currents and must be minimized to limit magnetic coupling
  • High-frequency return currents follow the path of least impedance directly beneath signal traces; crossing plane splits forces return paths around the break, creating giant radiating loops
  • Isolating noisy converter power islands and managing star returns prevents high di/dt ground bounce from shifting sensitive analog reference potentials
  • The equivalent inductance of a ferrite bead forms an underdamped LC tank with downstream ceramic bypass capacitors, causing severe voltage ringing during fast step transients
  • Placing a resistor in parallel with the bead (damping resistor) lowers the peak impedance of the parallel LC tank without adding DC drop
  • Using a high-ESR bulk cap (e.g., tantalum or series R-C) in parallel with low-ESR ceramic decoupling dampens the output filter's Q factor
  • Above ~100 kHz, return current distribution is dominated by loop inductance rather than DC resistance
Why not just Google it

You've tried the other tabs

Wikipedia

Thirty open tabs. Four facts you actually kept.

YouTube

You watched. You nodded. By Sunday it was gone.

ChatGPT

One answer, then back to scrolling.

Online courses

Eight weeks. You meant to finish. You didn't.

Tomo gives Electronic Hardware Implementation the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.

Try a question

Here's what playing it feels like

A real question from this course. Take your best guess.

Taming PDN Loop Inductance and Anti-Resonance

When laying out power and ground vias for a decoupling capacitor, what happens if you place them very close together?

Get it right to open this lesson and 11 more in the app.

Course map

Where Electronic Hardware Implementation takes you

  1. 1

    Physical Foundations: Power and Ground

    • Power Distribution Network Optimization
    • Return Path Control and Ground Architectures
  2. 2

    Signal Integrity and Defensive Bring-Up

    • High-Speed Routing and Parasitic Management
    • Defensive Hardware Implementation and Bring-Up

2 sections · 4 units · 12 levels. Built to play, not to enroll.

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