Coulomb to Ampere-hour Converter
Enter the value that you want to convert coulomb (C) to ampere-hour (Ah) or ampere-hour to coulomb.Also written as C to AH conversion.
1 coulomb = 0.0002778 ampere-hour
Formula: ampere-hour = coulomb value × 0.0002778
C to AH — coulomb to ampere-hour
10 coulomb = 0.00278 ampere-hour
Popular Charge Converters:
Coulomb vs Ampere-hour
The Coulomb in Electrical Systems
Coulomb (C) is a unit of charge measurement. 1 coulomb is equal to 0.0002778 ampere-hour.
The Ampere-hour in Electrical Systems
Ampere-hour (Ah) is a unit of charge measurement. 1 ampere-hour is equal to 3600.0000000 coulomb.
Electric Charge in Practice
Charge conversions are essential in battery technology, electrochemistry, and particle physics. Battery capacity (ampere-hours and milliampere-hours) must convert to coulombs for electrochemical calculations. The faraday constant connects moles of electrons to coulombs in electrolysis. Capacitor specifications and static discharge calculations also require precise charge unit conversion.
coulomb to ampere-hour metric conversion table
| 0.01 C | = | 0.00000 Ah |
| 0.1 C | = | 0.00003 Ah |
| 1 C | = | 0.00028 Ah |
| 2 C | = | 0.00056 Ah |
| 3 C | = | 0.00083 Ah |
| 4 C | = | 0.00111 Ah |
| 5 C | = | 0.00139 Ah |
| 6 C | = | 0.00167 Ah |
| 7 C | = | 0.00194 Ah |
| 8 C | = | 0.00222 Ah |
| 9 C | = | 0.00250 Ah |
| 10 C | = | 0.00278 Ah |
| 11 C | = | 0.00306 Ah |
| 12 C | = | 0.00333 Ah |
| 13 C | = | 0.00361 Ah |
| 14 C | = | 0.00389 Ah |
| 15 C | = | 0.00417 Ah |
| 16 C | = | 0.00444 Ah |
| 17 C | = | 0.00472 Ah |
| 18 C | = | 0.00500 Ah |
| 19 C | = | 0.00528 Ah |
| 20 C | = | 0.00556 Ah |
| 30 C | = | 0.00833 Ah |
| 40 C | = | 0.01111 Ah |
| 50 C | = | 0.01389 Ah |
| 60 C | = | 0.01667 Ah |
| 70 C | = | 0.01944 Ah |
| 80 C | = | 0.02222 Ah |
| 90 C | = | 0.02500 Ah |
| 100 C | = | 0.02778 Ah |
| 200 C | = | 0.05556 Ah |
| 300 C | = | 0.08333 Ah |
| 400 C | = | 0.11111 Ah |
| 500 C | = | 0.13889 Ah |
| 600 C | = | 0.16667 Ah |
| 700 C | = | 0.19444 Ah |
| 800 C | = | 0.22222 Ah |
| 900 C | = | 0.25000 Ah |
| 1000 C | = | 0.27778 Ah |
How to Convert C to AH (Coulomb to Ampere-hour)?
We can convert coulomb to ampere-hour by using an example.
Example:
Convert 20 Coulomb to Ampere-hour?
We know 1 Coulomb = 0.0002778 ampere-hour; 1 Ampere-hour = 3600.0000000 coulomb.
20 coulomb = ___Ah
20 × 0.0002778 = 0.00556 Ah (we know 1 coulomb = 0.0002778 ampere-hour)
Answer:
20 coulomb = 0.00556 ampere-hour
Coulombs to Amp-Hours: Bridging Physics and Battery Ratings
The coulomb (C) is the SI unit of electric charge — one ampere flowing for one second. Amp-hours (Ah) are the practical unit used to rate batteries, from car batteries to grid storage systems. Since 1 Ah = 1 amp × 1 hour = 1 amp × 3,600 seconds = 3,600 coulombs, you divide coulombs by 3,600 to get Ah.
- Start with the electric charge in coulombs (C).
- Divide by 3,600 (seconds in one hour).
- The result is the charge in amp-hours (Ah).
- Verify: 3,600 C ÷ 3,600 = 1 Ah (1 amp flowing for 1 hour).
Coulombs to Ah: Battery Charge Reference
Electric charge values converted from coulombs to amp-hours for battery applications:
| Coulomb | Ampere-hour |
|---|---|
| 360 C | 0.1 Ah |
| 3,600 C | 1 Ah |
| 18,000 C | 5 Ah |
| 36,000 C | 10 Ah |
| 180,000 C | 50 Ah |
| 360,000 C | 100 Ah |
| 720,000 C | 200 Ah |
| 1,800,000 C | 500 Ah |
Solved: Coulombs to Amp-Hours
Question 1: A capacitor bank stores 7,200 coulombs. What is that in Ah?
Solution:
Ah = C ÷ 3,600
= 7,200 ÷ 3,600
= 2 Ah
Answer: 7,200 C = 2 Ah — equivalent to two AA rechargeable batteries.
Question 2: An electroplating process uses 54,000 coulombs. Convert to Ah for billing.
Solution:
Ah = C ÷ 3,600
= 54,000 ÷ 3,600
= 15 Ah
Answer: 54,000 C = 15 Ah — the electricity consumed during the plating process.
Question 3: A Tesla Model 3 battery holds approximately 280,800 C. Express in Ah.
Solution:
Ah = C ÷ 3,600
= 280,800 ÷ 3,600
= 78 Ah
Answer: 280,800 C = 78 Ah — at ~350V nominal, that gives about 27.3 kWh usable.
Practice: Coulombs to Ah
Try solving these on your own to test your understanding:
- Convert 14,400 C to Ah. (Answer: 4 Ah)
- A battery delivers 90,000 C before depletion. How many Ah? (Answer: 25 Ah)
- Convert 1,800 C to Ah. (Answer: 0.5 Ah)
- An experiment uses 432,000 C. Express in Ah. (Answer: 120 Ah)
- Convert 5,400 C to Ah. (Answer: 1.5 Ah)
Faraday's Laws and Electrochemistry
In electrochemistry, Faraday's constant (96,485 C/mol) tells you how many coulombs are needed to deposit one mole of a monovalent element. To plate 1 mole of copper (divalent), you need 2 × 96,485 = 192,970 C ≈ 53.6 Ah. Converting between coulombs and Ah helps electroplating shops estimate process time: at 10 A, depositing one mole of copper takes 53.6 Ah ÷ 10 A = 5.36 hours.
Why Batteries Use Ah Instead of Coulombs
Batteries are rated in Ah because it directly tells you how long they last: a 100 Ah battery delivers 1 A for 100 hours, or 10 A for 10 hours (ideally). Coulombs (amp-seconds) would give unwieldy numbers — that same battery is 360,000 C. The Ah unit was adopted in the 19th century when telegraphy demanded multi-hour operation, and the convention stuck because it matches how people think about battery life.
Key Takeaways
- Divide coulombs by 3,600 to get amp-hours.
- 1 Ah = 3,600 C = 1 ampere flowing for exactly 1 hour.
- Car batteries: ~50 Ah; EV batteries: ~75-100 Ah.
- Faraday's constant (96,485 C) is important for electroplating calculations.
- Ah is preferred over coulombs because it relates directly to battery runtime.
Coulomb to Ampere-hour Conversion Formula
ampere-hour = coulomb × 0.0002778
1 coulomb = 0.0002778 ampere-hour
1 ampere-hour = 3600.0000000 coulomb
Reverse: coulomb = ampere-hour × 3600.0000000
Frequently Asked Questions
How many ampere-hour are in 1 coulomb?
There are 0.0002778 ampere-hour in 1 coulomb. To convert coulomb to ampere-hour, multiply the value by 0.0002778.
How do I convert coulomb to ampere-hour?
Multiply your coulomb value by 0.0002778 to get the equivalent in ampere-hour. For example, 5 coulomb = 5 × 0.0002778 = 0.00139 ampere-hour.
How do I convert ampere-hour to coulomb?
Multiply your ampere-hour value by 3600.0000000 to get the equivalent in coulomb. Alternatively, divide by 0.0002778.
What is 10 coulomb in ampere-hour?
10 coulomb is equal to 0.00278 ampere-hour.
What is 100 coulomb in ampere-hour?
100 coulomb is equal to 0.02778 ampere-hour.