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Buck converter

Buck converter: the circuit drawn with the example's values10µH3.3µF2.5 Ω12 V5 V
D 42 %, L 10 µH, C 3.3 µF for 12 V → 5 V at 2 A

The switch chops the input; the coil and the capacitor smooth it into a steady output.

Opens in the app on 1 December, with Circuit Notebook 1.0 See it worked out

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The example, worked out

Given

Input
12 V
Output
5 V
Load current
2 A
Switching frequency
500 kHz
Inductor ripple
30 %
Output ripple allowed
50 mV
Efficiency expected
90 %

Working

  1. the share of the time the switch is on
  2. the inductor that keeps the ripple to what you asked
  3. the capacitor that absorbs the ripple current
  4. the saturation current to look for

Results

Duty cycle41.7 %
Inductor9.72 µH
Output capacitor3 µF
Peak inductor current2.3 A
Inductor ripple600 mA
Inductor rms current2.01 A
Input current926 mA
Input capacitor rms986 mA
Loss (at the efficiency given)1.11 W
Continuous down to300 mA
Switch and diode see12 V

The formulas

  1. D = Vout / Vinthe share of the time the switch is on
  2. L = (Vin − Vout) × D / (f × ΔIL)the inductor for a ripple
  3. Cout = ΔIL / (8 f ΔV)the capacitor that absorbs the ripple

The usual traps

  • An inductor that saturates at the peak current, not the average.
  • The ESR of the output capacitor sets the ripple more than its capacitance.

Questions

How do I choose the inductor and capacitor of a buck converter?

D = Vout / Vin: the share of the time the switch is on. L = (Vin − Vout) × D / (f × ΔIL): the inductor for a ripple. Cout = ΔIL / (8 f ΔV): the capacitor that absorbs the ripple.

What does it give for typical values?

D 42 %, L 10 µH, C 3.3 µF for 12 V → 5 V at 2 A. Duty cycle: 41.7 %; Inductor: 9.72 µH; Output capacitor: 3 µF.

What are the usual mistakes?

An inductor that saturates at the peak current, not the average. The ESR of the output capacitor sets the ripple more than its capacitance.

In the app

Your circuit, drawn live

Change a value: the schematic redraws with your numbers on the parts.

The part you can buy

Results rounded to standard values (E12, E24, E96) and power ratings.

The working, shown

Every step written out. Try it first by hand, then check.

Into your notebook

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Opens in the app on 1 December, with Circuit Notebook 1.0

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