Charge from Current
Charge transferred by a steady current.
Formula
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Example
2A × 3s = 6C
How it works
Electric current is the rate at which electric charge flows past a point, so if the current stays constant, the total charge transferred is just rate × time. That is why multiplying current by time gives charge: a larger current moves more charge each second, and a longer time allows that flow to continue for more seconds. The unit check also works out, since 1 ampere equals 1 coulomb per second, so A × s becomes coulombs.
When to use it
Use this formula when a circuit has a steady current and you need to find how much charge passes through a wire, component, or battery over a given time. It is common in basic circuit problems, electrolysis, and any situation involving constant current flow.
Worked example, step by step
A circuit carries a steady current of 0.5 A for 8 s. Q = It Q = 0.5 × 8 Q = 4 C So, 4 coulombs of charge are transferred.
Common mistakes to avoid
- Using time in minutes or hours without converting to seconds first
- Mixing up current and charge by putting amperes as the answer instead of coulombs
- Using this formula when the current is changing instead of constant
Did You Know?
One ampere is a coulomb of charge per second, about 6.2 quintillion electrons streaming past each moment.
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