Typical household currents are on the order of a few...

Typical household currents are on the order of a few amperes. If a 1.50 A current flows through the leads of an electrical appliance, (a) how many electrons per second pass through it, (b) how many coulombs pass through it in 5.0 min, and (c) how long does it take for 7.50 $\mathrm{C}$ of charge to pass through?

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Key Concepts

Elementary Charge

The elementary charge is the magnitude of charge carried by a single electron (or proton), approximately 1.602×10?¹? coulombs. This constant allows us to relate the macroscopic measurement of charge, such as coulombs, to the microscopic number of electrons involved in current flow.

Electric Current

Electric current is the rate of flow of electric charge, measured in amperes (A), where one ampere equals one coulomb per second. This concept is crucial for understanding how charges move in a circuit and how the current relates to other electrical quantities such as charge and time.

Relationship Between Charge, Current, and Time

The equation Q = I × t establishes a direct relationship among charge (Q), current (I), and time (t). This formula is essential in determining any one of these quantities when the other two are known, linking the continuous nature of electric current to the cumulative charge transported over a period.

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