A 12-V car battery is rated at 80 ampere-hours, meaning it...

Name: Problem 12, Chapter 24: Essential University Physics Global Edition
Uploaded: 2023-03-09T06:59:38-08:00
Duration: 1 min 14 s
Channel: Narayan Hari
Description: A 12-V car battery is rated at 80 ampere-hours, meaning it can supply 80 A of current for I hour before it becomes discharged. If you accidentally leave the headlights on until the battery discharges, how much charge moves through the lights?

A 12-V car battery is rated at 80 ampere-hours, meaning it can supply 80 A of current for I hour before it becomes discharged. If you accidentally leave the headlights on until the battery discharges, how much charge moves through the lights?

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Key Concepts

Ampere-Hour

An ampere-hour is a unit of electric charge commonly used to describe the capacity of batteries. It represents the amount of charge transferred by a steady current of one ampere flowing for one hour. This concept helps in understanding and comparing how much electric charge a battery can deliver before it needs recharging.

Coulomb

A coulomb is the SI unit of electric charge, defined as the amount of charge transported by a constant current of one ampere in one second. It provides a direct measure of how many charge carriers, usually electrons, have been moved, and is essential for converting battery capacities expressed in ampere-hours into a more fundamental charge unit.

Unit Conversion of Electric Charge

Converting ampere-hours to coulombs involves understanding the relationship between current, time, and charge. Since one ampere is equal to one coulomb per second and one hour is 3600 seconds, multiplying the number of amperes by 3600 gives the total charge in coulombs. This conversion is crucial for relating practical battery specifications to the underlying physics of charge transfer.

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