mAh to Ah
1 Milliamp-hour (mAh) = 0.001 Amp-hour (Ah)
How Many Amp-hours in a Milliamp-hour?
To convert milliamp-hours to amp-hours, divide the number of milliamp-hours by 1,000. The formula is Ah = mAh ÷ 1,000. For example, 5,000 mAh equals 5 Ah. This conversion bridges the two most common units for expressing battery capacity — milliamp-hours for small consumer electronics and amp-hours for larger batteries. Smartphone batteries, power banks, wireless earbuds, and portable chargers list capacity in mAh, while car batteries, deep-cycle marine batteries, solar energy storage systems, and electric vehicle batteries use Ah. Understanding this conversion helps you compare battery capacities across different product categories, calculate charging times, and evaluate whether a portable battery can adequately charge your devices.
How to Convert Milliamp-hour to Amp-hour
- Start with the battery capacity in milliamp-hours (mAh).
- Divide by 1,000 to get amp-hours (Ah).
- The result is the capacity expressed in amp-hours.
- Simply move the decimal point three places to the left.
- For example: 10,000 mAh → 10.000 Ah → 10 Ah.
Real-World Examples
Quick Reference
| Milliamp-hour (mAh) | Amp-hour (Ah) |
|---|---|
| 1 | 0.001 |
| 2 | 0.002 |
| 5 | 0.005 |
| 10 | 0.01 |
| 25 | 0.025 |
| 50 | 0.05 |
| 100 | 0.1 |
| 500 | 0.5 |
| 1,000 | 1 |
History of Milliamp-hour and Amp-hour
Battery capacity measurement in milliamp-hours and amp-hours evolved alongside battery technology. Early batteries — like the Voltaic pile (1800) and the Daniell cell (1836) — had no standardized capacity measurement. As rechargeable lead-acid batteries became common in the late 1800s for telegraphy and early automobiles, the amp-hour became the standard measure of how much charge a battery could store and deliver. The milliamp-hour gained prominence with the portable electronics revolution. When Sony introduced the first commercial lithium-ion battery in 1991, it was rated at 1,000 mAh — a capacity that seemed enormous for the era. Today's smartphone batteries range from 3,000 to 6,000 mAh, while high-capacity power banks reach 30,000 mAh or more. It is important to understand that mAh and Ah measure electric charge (current × time), not energy. A 5,000 mAh battery at 3.7V stores 18.5 Wh of energy, while a 5,000 mAh battery at 7.4V stores 37 Wh. This is why comparing batteries of different voltages by mAh alone can be misleading — watt-hours (Wh) is the more complete measure of total energy storage.
Common Mistakes to Avoid
- Multiplying instead of dividing. To go from mAh to Ah, divide by 1,000 — the number gets smaller. A 5,000 mAh battery is 5 Ah, not 5,000,000 Ah.
- Comparing mAh across different voltages as if they represent the same energy. A 10,000 mAh power bank at 3.7V stores 37 Wh, but it delivers at 5V via USB. Due to voltage conversion losses, it can actually charge about 6,660 mAh at 5V — not the full 10,000 mAh that the label suggests.
- Assuming a battery rated at X mAh can supply X mA for exactly one hour. Battery capacity varies with discharge rate — high-current draws reduce effective capacity. A battery rated at 2,000 mAh at the 1C rate (2,000 mA) might deliver 2,200 mAh if discharged slowly (0.5C) or only 1,800 mAh at a high discharge rate (2C).
Frequently Asked Questions
How many amp-hours is 1 milliamp-hour?
Why do phone batteries use mAh while car batteries use Ah?
How do I calculate how many times a power bank can charge my phone?
What is the airline limit for battery capacity?
When shopping for power banks, do not trust the mAh number at face value. The rated mAh is measured at the internal battery voltage (usually 3.7V), but USB output is at 5V. The effective capacity at 5V is roughly 65-70% of the rated mAh after accounting for voltage conversion and heat losses. A "20,000 mAh" power bank effectively delivers about 13,000-14,000 mAh at 5V. For a more accurate comparison between power banks, look for the watt-hour (Wh) rating if available.