Ohm's law without hand-waving
A practical guide to voltage, current, resistance, power, and the assumptions behind the most-used equation in electronics.
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Technical knowledge / practical context
Practical electronics tutorials that connect first principles with component selection, circuit behaviour, measurement, and design limits.
Published notes
These notes move from first principles into components and then into small circuits that appear constantly in real design work.
A practical guide to voltage, current, resistance, power, and the assumptions behind the most-used equation in electronics.
Resistance value, tolerance, power rating, pull-ups, pull-downs, current sensing, and the real decisions behind a simple part.
How to choose current, resistor value, and power rating for LED indicator circuits without relying on habit or guesswork.
Forward voltage, real ratings, rectifier ripple, reverse-polarity protection, flyback paths, Zener clamps, and TVS selection.
How capacitors behave in power rails, timing, filters, and signal circuits, with practical notes on real-world limits.
Time constants, charge curves, cutoff frequency, loading, PWM smoothing, ADC settling, thresholds, and component tolerances.
Energy storage, saturation, DCR, switching regulators, EMI filtering, and what happens when coil current changes.
The practical rules behind equivalent resistance, voltage division, current sharing, power, tolerance, and debugging.
Divider maths, loading, ADC source impedance, wasted current, tolerance, and when a divider is the wrong tool.
Using BJTs and MOSFETs to control loads from logic pins, including base resistors, gates, flyback, and safe defaults.
Feedback, buffers, amplifiers, input range, output swing, bandwidth, offset, and when a comparator is the better part.
Voltage followers, non-inverting and inverting amplifiers, active filters, current sensing, and when a comparator is the better tool.
Current coverage
The published series moves from electrical fundamentals to components, small circuits, protection, timing, and analogue systems.
Ohm's law, resistor behaviour, series and parallel networks, power, tolerance, and loaded dividers.
Capacitors, inductors, stored energy, reactance, RC curves, filters, and practical component limits.
LED current limiting, diodes, rectification, clamps, flyback paths, BJTs, and MOSFET switching.
Ideal behaviour, real limitations, followers, inverting and non-inverting gain, sums, and differences.
Article style
Lab Notes are written to connect first principles with the kind of design choices that appear on real benches, boards, tools, and games.
Explain the idea without assuming the reader already knows the vocabulary.
Include tolerance, loading, heat, noise, timing, or other details that change real outcomes.
Point to calculators and formula helpers where a reader can try the numbers.
Prefer examples, checks, and judgement over filler or abstract definitions.
Try the numbers
The tools below apply the same principles with adjustable values, engineering units, worked results, and practical checks.
Solve voltage, current, resistance, power, resistor networks, loaded dividers, and preferred values.
Open the benchPlot charge curves, calculate time constants, compare filter responses, and inspect cutoff behaviour.
Open timing toolsSize LED resistors, estimate device losses, check drive requirements, and review thermal margins.
Open device toolsEnter an equation from a datasheet, choose the unknown, assign values, and inspect the rearranged result.
Open formula labQuestions
Send a circuit, formula, programming pattern, or game-system question that would benefit from a clear practical explanation.