Source: https://mokxi.com/learn/path/signals-and-filters
Updated: 2026-11-11

All paths

# AC, signals and filters

Advanced, after Transistors and op-amps for real: sine, peak and RMS, reading a scope, RC and RL filters, frequency response, RLC resonance and active filters.

Free 7 lessons 4 h 3 chapters 2,422 XP Electrical · Advanced +250 XP

0 of 7 done

Start the course free Sine, peak and RMS Lesson plan for teachers

What you will build

## 3 projects, built step by step

7 lessons in 3 chapters, about 4 hours on a simulated breadboard. Free, in your browser, every step checked by the simulator.

Chapter 1 project

### Reading a scope

The waveform lab: an Uno makes sine, triangle, sawtooth and square waves with PWM and an RC filter. Volts per division, time per division, period and frequency, checked with a frequency counter.
Open it in the simulator

Chapter 2 project

### Frequency response

Two RC filters in a row with a meter after each: gain as a ratio and in decibels, the corner, and a slope that doubles to -40 dB per decade. How to read a Bode plot without needing one.
Open it in the simulator

Chapter 3 project

### Active filters

An op-amp low pass on one 5 V rail: a gain of ten in the passband, a corner set by Rf and Cf, moved down a decade with one capacitor, and the trade between gain and corner.
Open it in the simulator

The map

## Chapter by chapter

Each lesson opens when the one before it is done, and each chapter ends in a project.

Chapter 1

## AC signals

What a sine really measures, and how to read one on a scope.

Open 265 XP

### Sine, peak and RMS

Mains through a 12-0-12 V transformer into a rectifier: what 230 V means when the peak is 325 V, why a 13 V winding charges a capacitor to 17 V, and what happens on the wrong mains.

0 of 6 steps

Start What is in it

Project Locked 530 XP

### Reading a scope

The waveform lab: an Uno makes sine, triangle, sawtooth and square waves with PWM and an RC filter. Volts per division, time per division, period and frequency, checked with a frequency counter.

0 of 6 steps

Chapter 2

## Filters

Low pass, high pass and band pass, and how to read a frequency response.

Locked 265 XP

### RC low-pass

A resistor and a capacitor with a meter on each side: full signal at 100 Hz, 0.707 at the 995 Hz corner, a tenth a decade above it, and the corner moved with one capacitor.

0 of 6 steps

Locked 227 XP

### High-pass and band-pass

An inductor and a resistor with a meter across each: the inductor’s side passes highs, the resistor’s side passes lows, both read 1.0 V at the corner, and two filters in a row make a band.

0 of 5 steps

Project Locked 454 XP

### Frequency response

Two RC filters in a row with a meter after each: gain as a ratio and in decibels, the corner, and a slope that doubles to -40 dB per decade. How to read a Bode plot without needing one.

0 of 5 steps

Chapter 3

## Tuned and active

Resonance with an inductor and a capacitor, and filters with gain.

Locked 227 XP

### RLC resonance

A resistor, an inductor and a capacitor tuned to about 1 kHz: the capacitor rings to four times the input at resonance, falls away either side, retunes with one part and sharpens as the resistance drops.

0 of 5 steps

Project Locked 454 XP

### Active filters

An op-amp low pass on one 5 V rail: a gain of ten in the passband, a corner set by Rf and Cf, moved down a decade with one capacitor, and the trade between gain and corner.

0 of 5 steps

Syllabus

## Every lesson in the course

All 7 lessons, in order, each with what it covers. Any of them opens in the editor right away.

Chapter 1

### AC signals

- Sine, peak and RMS Mains through a 12-0-12 V transformer into a rectifier: what 230 V means when the peak is 325 V, why a 13 V winding charges a capacitor to 17 V, and what happens on the wrong mains.
- Reading a scope The waveform lab: an Uno makes sine, triangle, sawtooth and square waves with PWM and an RC filter. Volts per division, time per division, period and frequency, checked with a frequency counter.

Chapter 2

### Filters

- RC low-pass A resistor and a capacitor with a meter on each side: full signal at 100 Hz, 0.707 at the 995 Hz corner, a tenth a decade above it, and the corner moved with one capacitor.
- High-pass and band-pass An inductor and a resistor with a meter across each: the inductor’s side passes highs, the resistor’s side passes lows, both read 1.0 V at the corner, and two filters in a row make a band.
- Frequency response Two RC filters in a row with a meter after each: gain as a ratio and in decibels, the corner, and a slope that doubles to -40 dB per decade. How to read a Bode plot without needing one.

Chapter 3

### Tuned and active

- RLC resonance A resistor, an inductor and a capacitor tuned to about 1 kHz: the capacitor rings to four times the input at resonance, falls away either side, retunes with one part and sharpens as the resistance drops.
- Active filters An op-amp low pass on one 5 V rail: a gain of ten in the passband, a corner set by Rf and Cf, moved down a decade with one capacitor, and the trade between gain and corner.

Keep going

## The next course on your track

AC, signals and filters is part of the electrical track, a ladder of courses from zero to expert.

Next course

### From gates to a computer

Start with one NAND gate, package every circuit you build into a chip, and use your chips to build the next one: an adder, memory, a CPU of your own, and a computer that runs your program.
Open the next course

Track

### Electrical track

Current and voltage you can see, then transistors, op-amps, filters, power and PCBs. Every circuit runs in a real circuit simulator in your browser.
See every course on the track

Kits

## Build it on your bench too

Every lesson runs in the simulator with nothing to buy. When you want the real thing, these kits have the parts.

Have a kit already?

### Find your kit

Pick the starter kit you own and run every lesson in its manual with the same parts on the same pins.
See every kit

Questions

## About AC, signals and filters

Is AC, signals and filters free?

Yes. All 7 lessons of AC, signals and filters are free and run in your browser, with nothing to install and no parts to buy before you start.

Do I need any parts?

No. Every circuit is built on a simulated breadboard, and the simulator checks each step as you go. When you want to build it for real, the same parts and wiring work on a real bench.

How long does AC, signals and filters take?

About 4 hours: 7 lessons in 3 chapters, each one a few short steps. Your progress is kept, so you can stop after any lesson and pick up where you left off.

What will I build?

Each chapter ends in a project that puts it together: Reading a scope, Frequency response and Active filters.

Where do I start?

With "Sine, peak and RMS", and each lesson builds on the one before it. New to circuits? Electronics basics is the course that starts from zero.
