Context: Battery life calculation for Sigfox water tank monitoring (18 messages/day).
Energy per message (triple transmission): \[E_{\text{msg}} = 40\,\text{mA} \times (3 \times 2\,\text{s}) / 3600\,\text{s/h} = 0.067\,\text{mAh}\]
Daily transmission energy: \[E_{\text{daily,tx}} = 18 \times 0.067 = 1.2\,\text{mAh}\]
Sleep energy (assuming 1 µA): \[E_{\text{daily,sleep}} = 0.001\,\text{mA} \times 24\,\text{h} = 0.024\,\text{mAh}\]
Total daily consumption: \[E_{\text{total}} = 1.2 + 0.024 = 1.224\,\text{mAh/day}\]
Worked example with 6,000 mAh battery (2× AA lithium): \[\text{Battery life} = \frac{6000\,\text{mAh}}{1.224\,\text{mAh/day}} = 4,902\,\text{days} = 13.4\,\text{years}\]
To meet 10-year requirement with safety margin, use D-cell lithium (19,000 mAh) for 42-year theoretical life, or reduce to 10 messages/day for 16-year life with AA cells.