How Much Energy is Stored in a 1.5 V Battery with a Rating of 1,800 mAh?

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SUMMARY

A 1.5 V battery with a rating of 1,800 mAh can supply a current of 1.8 A for 1 hour, resulting in a total charge of 6480 coulombs. The electrical energy stored in the battery is calculated using the formula E = q * V, yielding approximately 9,700 joules. This calculation confirms the energy capacity of the battery when fully charged. The discussion effectively demonstrates the application of basic physics principles to determine energy storage in batteries.

PREREQUISITES
  • Understanding of basic electrical concepts, including voltage, current, and charge.
  • Familiarity with the relationship between milliamp hours (mAh) and ampere-hours (Ah).
  • Knowledge of the formula for calculating electrical energy (E = q * V).
  • Basic proficiency in unit conversions, particularly between seconds and hours.
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Students studying physics, electrical engineers, and anyone interested in understanding battery specifications and energy calculations.

aChordate
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Hello All,

I was wondering if anyone could check this since I am not very good at physics (understatement).

Thanks a lot! :smile:

"A 1.5 V battery is rated at 1,800 milliamp hours (mAh). This means it can suppy a current of 1.8 A for 1.0 hours before running out of charge. How much electrical energy (in joules) is stored in the battery when it is new?"

My solution:
Δq=J(Δt)=(1.8A)(3600s)=6480 C

E=q*(E/q)= (6480C)(1.5V) = 9.7*10^3 Joules
 
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Your calculated value looks good.
 

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