Power calculator

Battery life

Battery life: the circuit drawn with the example's values3 V
91.3 days on 2400 mAh at 877 µA average

What counts is the average current: a short burst, then a long sleep.

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

Capacity
2400 mAh
Nominal voltage
3 V
Current awake
50 mA
Time awake per cycle
1 s
Current asleep
10 µA
Cycle
60 s
Usable share
80 %
Self-discharge
1 %/month

Working

  1. the average over one cycle
  2. capacity over current is time

Results

Battery life91.3 days
Average current877 µA
Awake share1.7 %
Energy used5.76 Wh
Self-discharge, as a current33.3 µA

The formulas

  1. Iavg = (Ion × ton + Ioff × (T − ton)) / Tthe average over one cycle
  2. life = C × usable / (Iavg + Iself)capacity over current is time

The usual traps

  • Forgetting the self-discharge: a frugal device can lose more to the cell itself.
  • Awake more than half the time: sleeping harder gains little.

Questions

How long will my battery last?

Iavg = (Ion × ton + Ioff × (T − ton)) / T: the average over one cycle. life = C × usable / (Iavg + Iself): capacity over current is time.

What does it give for typical values?

91.3 days on 2400 mAh at 877 µA average. Battery life: 91.3 days; Average current: 877 µA.

What are the usual mistakes?

Forgetting the self-discharge: a frugal device can lose more to the cell itself. Awake more than half the time: sleeping harder gains little.

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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