Coulombs and ampere-hours are both units of electric charge, but they measure charge in slightly different ways.
The coulomb is the SI unit of electric charge. It’s defined as the amount of charge that flows through a conductor when a current of one ampere (1 A) flows for one second (1 s). Mathematically, it can be expressed as:
1 coulomb = 1 ampere × 1 second
The ampere-hour is a unit of charge often used in practical applications like batteries, especially in contexts where smaller charges would be cumbersome to express in coulombs. One ampere-hour represents the amount of charge that flows when a current of one ampere flows for one hour. It’s a larger unit than the coulomb, and it can be converted to coulombs using the relationship:
1 ampere-hour = 3600 coulombs
1C = 2.7778⋅10-4Ah
or
1Ah = 3600C
Q(Ah) = Q(C) / 3600
Example – Convert 3 coulombs to ampere-hours:
Ans. Q(Ah) = 3C / 3600 = 8.333⋅10-4Ah
| Charge (coulomb) | Charge (ampere-hours) |
| 0 C | 0 Ah |
| 1 C | 0.00027778 Ah |
| 10 C | 0.00277778 Ah |
| 100 C | 0.02777778 Ah |
| 1000 C | 0.27777778 Ah |
| 10000 C | 2.777777778 Ah |
| 100000 C | 27.777777778 Ah |
| 1000000 C | 277.777777778 Ah |
No, 1 coulomb is not equal to an ampere. Coulombs and amperes are related but measure different aspects of electric current. Coulombs measure the quantity of electric charge, while amperes measure the rate of flow of electric current.
Coulombs and amperes are related by time. The current in amperes (A) is equal to the charge in coulombs (C) divided by the time in seconds (s). Mathematically, I (A) = Q (C) / t (s), where I is the current, Q is the charge, and t is the time.
1 ampere is equivalent to 1 coulomb of charge flowing through a conductor in 1 second. So, 1 ampere = 1 coulomb / 1 second.
1 coulomb is the amount of electric charge transported by a current of 1 ampere flowing for 1 second. It's a fundamental unit of electric charge.
1 ampere is the SI unit of electric current. It represents a flow of charge where 1 coulomb of charge passes through a point in a circuit in 1 second.
The charge of 1 coulomb can be calculated by considering the relationship between current and time. If 1 ampere of current flows for 1 second, it will result in a charge of 1 coulomb. Mathematically, Q (C) = I (A) × t (s), where Q is the charge, I is the current, and t is the time.