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LNGR SPKRHIFI. TWO WAYS. HANDCRAFTED.
Knowledge / Power, control & measurement
LNGR · Learning workshop

Power supplies & reservoirs

A power supply must do more than display the right number at no load. It must maintain voltage while the load changes.

AC → DCC · ΔU ≈ I · Δt

Functional illustration · equations and topology in the text

Start without prior knowledgeUnderstand the model limitsDE / EN
01

The mental picture

A reservoir bridges gaps in inflow. A capacitor can supply charge between replenishment pulses. More load current makes its voltage fall faster. A regulator is another stage with its own headroom and limits.

02

The principle

Here we consider the low-voltage side of a 50 Hz transformer and bridge rectifier. Both half-cycles recharge the reservoir, ideally one hundred times per second. Reservoir DC is closer to the sine peak than its RMS value, minus diode losses.

03

Try it yourself

Interactive experiment

Power supplies & reservoirs

Double load current and observe ripple. Then double C. This shows why the same capacitor gives less reserve under heavier load.

Model limits: Simplified 100 Hz reservoir model for 50 Hz full-wave rectification, fixed 1.4 V bridge drop and constant load current. Not a mains construction guide.

04

A worked example

A 100 mA load and 2 200 µF give about 0.455 V peak-to-peak ripple with 100 Hz replenishment. 12 V RMS corresponds to about 17 V peak before diode losses.

A closer look · equations and assumptions
Formula notes
\hat U=\sqrt{2}U_{\mathrm{RMS}}
\Delta U\approx\frac{I}{f_{\mathrm{ripple}}C}
P_{\mathrm{linear}}\approx(U_{\mathrm{in}}-U_{\mathrm{out}})I

The tool replaces real charging pulses with instantaneous recharge and constant-current discharge. Real transformer and wiring resistance limit charging current. Regulators need headroom; electrolytics face ripple-current and temperature stress. Switching regulators add switching frequency, control-loop and layout considerations.

A common pitfall. A larger capacitor does not cure every power-supply weakness. It can increase inrush and charging-pulse currents, stressing other parts.

05

Workshop takeaway

Measure voltage under load, not only at idle. For first experiments, use a suitable finished low-voltage supply.

Sources & transparency

Original illustrations and educational calculations. No measurements of a specific product. Edited 11 October 2026.

Work it out · answers unfold

Write down your prediction first, then your calculation. Open the answer only when you are ready to compare.

12 · An IC needs an extra 20 mA for 10 µs. What ideal capacitance limits voltage droop to 0.1 V?

Show worked answer
  1. Extra charge: I · Δt = 0.2 µC.
  2. C = ΔQ/ΔU.
  3. At least 2 µF in the ideal model.
Calculation
C=\frac{I\Delta t}{\Delta U}=\frac{0.020\cdot10^{-5}}{0.1}=2\,\mu F

13 · A decoupling capacitor has 0.1 Ω ESR. A current step is 0.5 A. Find the immediate ESR voltage step.

Show worked answer
  1. Apply Ohm’s law to ESR.
  2. ΔU = ΔI · ESR.
  3. ΔU = 50 mV; further capacitive droop follows.
Calculation
\Delta U_{ESR}=0.5\cdot0.1=0.050\,V

14 · Why place a small decoupling capacitor next to the IC rather than 30 cm away?

Show worked answer
  1. Wires have inductance.
  2. Fast current changes create voltage drops across it.
  3. Short supply and return paths reduce loop area.

16 · Distinguish signal coupling from supply decoupling by the current path.

Show worked answer
  1. Coupling: capacitor in series with signal, blocks steady DC.
  2. Decoupling: capacitor across supply, supports local current peaks.
  3. Same component type, different purpose.

All new learning modules →

Project connection · LNGR 2-PR-THT-PR

See how driver spacing, passive radiators, crossover design and measurements meet in this planning project. CNC geometry v1.2; not yet built or acoustically measured.

Open the project build log →