Conversion Factor Overview
The exact relationship is simple: 1 mWh = 3.6 Ws. Multiply the number of milliwatt‑hours by 3.6 to obtain watt‑seconds.
Understanding the Units
What is a Milliwatt‑Hour (mWh)?
A milliwatt‑hour measures energy in the same way a watt‑hour does, but on a smaller scale. One milliwatt‑hour equals one‑thousandth of a watt‑hour. It is often used to describe the capacity of tiny batteries, wearable devices, and low‑power sensors.
What is a Watt‑Second (Ws)?
A watt‑second is the energy transferred when one watt of power is applied for one second. In the International System of Units, a watt‑second is identical to a joule, the standard unit of energy.
Why This Conversion Matters
- Battery designers need to compare storage specs expressed in mWh with energy demands given in joules (Ws).
- IoT engineers often calculate how long a device can run before recharging, switching between mWh (capacity) and Ws (consumption).
- Educators can illustrate the link between everyday power ratings (watts) and the total energy they represent over time.
Step‑by‑Step Conversion Method
- Identify the value in milliwatt‑hours.
- Multiply that value by the factor 3.6.
- Write the result with the unit “Ws” (or “J”).
Worked Example
Suppose a small Bluetooth beacon lists a battery capacity of 5 mWh. Using the formula:
Ws = mWh × 3.6
Plug in the numbers:
Ws = 5 × 3.6 = 18 Ws
So the beacon stores 18 watt‑seconds of energy, which is also 18 joules. This tells you exactly how much work the battery can perform before it is empty.
Milliwatt Hour to Watt Second Conversion Table
Each row applies the same rule: multiply milliwatt‑hours by 3.6.
| Milliwatt Hours (mWh) | Watt Seconds (Ws) |
|---|---|
| 1 mWh | 3.6 Ws |
| 2 mWh | 7.2 Ws |
| 5 mWh | 18 Ws |
| 10 mWh | 36 Ws |
| 20 mWh | 72 Ws |
| 50 mWh | 180 Ws |
| 100 mWh | 360 Ws |
| 500 mWh | 1,800 Ws |
Practical Tips for Quick Conversions
- Remember the “3.6” factor; it’s the same as the number of seconds in an hour (3 600) divided by 1 000.
- If you need the result in joules, treat the Ws value as joules—no extra step required.
- For large datasets, set up a spreadsheet column with the formula
=A2*3.6to automate the conversion.
Conclusion
Converting milliwatt‑hours to watt‑seconds is a one‑step arithmetic operation: multiply by 3.6. Whether you’re sizing a micro‑battery, estimating device runtime, or teaching energy concepts, this conversion bridges the gap between small‑scale power ratings and the universal joule.
Ready to apply the conversion to your own project? Grab a calculator, plug in your mWh value, and watch the energy unfold in joules.