Batteries are rated in terms of ampere-hours (A ·h) . For example, a battery that can produce a

step 1 Here let's assume a 55 ampere hour battery provides 55 ampere current for 1 hour at 12 volt. So

Batteries are rated in terms of ampere-hours (A ·h) . For...

Batteries are rated in terms of ampere-hours $(\mathrm{A} \cdot \mathrm{h}) .$ For example, a battery that can produce a current of 2.00 $\mathrm{A}$ for 3.00 $\mathrm{h}$ is rated at 6.00 $\mathrm{A} \cdot \mathrm{h}$ . (a) What is the total energy, in kilowatt-hours, stored in a $12.0-\mathrm{V}$ battery rated at 55.0 $\mathrm{A} \cdot \mathrm{h}$ ? (b) At $\$ 0.0600$ per kilowatt-hour, what is the value of the electricity produced by this battery?

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Key Concepts

Unit Conversions

Unit conversion is essential in energy calculations, particularly when converting between different energy units such as converting watt-hours to kilowatt-hours. Understanding these conversions ensures accurate calculations in real-world applications and comparisons, such as evaluating the energy content or cost of electricity.

Battery Capacity

Battery capacity is a measure of the total charge a battery can deliver over time, usually expressed in ampere?hours (A·h). This rating indicates how many amperes of current the battery can provide for a specific number of hours, reflecting the battery's energy storage ability.

Energy Calculation in Electrical Systems

Electrical energy stored in a battery can be determined by multiplying the voltage by the capacity (in ampere?hours), yielding energy in watt-hours. This calculation highlights the relationship between power (volts times amperes) and energy over time, which is a fundamental principle in electrical engineering.

Cost Evaluation of Energy

Cost evaluation of energy involves multiplying the amount of energy (usually expressed in kilowatt-hours) by the price per unit. This concept connects technical energy calculations with economic factors, essential for assessing the practical value or cost-effectiveness of energy storage and consumption.

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