How to calculate how long a battery will last

  • Thread starter bobjenkins777
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In summary, a battery rated at 12 volts and 12 amps can only be used for a device that is also rated at 12 volts and 12 amps. If the device is using more power than the battery can provide, the battery will not work and the device will be damaged.
  • #1
bobjenkins777
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Sorry if this is in the wrong section (it isn't homework). I am trying to form a basic understanding of electricity. Right now I'm attempting to figure out how to calculate how long a battery will last with certain devices.

I might be completely off base but here's what I've got.
12volt battery rated at 250Ah
Device is rated at 115volts 10000 BTUs, that's 2931W-h

2931 / 12 = 244 amps (97.7% = of battery capacity)
--
Likewise
Battery capacity 12 x 250 = 3000watts

Using 2931 in one hour is 97.7 %


Not sure if this is correct was picturing a car battery and a portable ac unit

...one other

Battery rated at12volt and 12Ah
Device 1420mAh (iphone)

12000mAh battery at 12 volts

12000/1420 = 8.45

Does this mean I can charge the iphone 8.45 times off the other battery?



Also is there any calculation required when using a power inverter? (I would be using a power inverter to go from dc to ac in these examples. (Not that id ever want to power a 10000btu ac unit in my vehicle lol)

Thanks
 
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  • #2
The capacity rating (amp hour) for batteries is listed for a low current output. The capacity would be much less at a high load. I'm not sure at what current that 250 amp-hour rating would be realistic. The inverter would consume part of the power from the battery.
 
  • #3
bobjenkins777 said:
12volt battery [...] Device is rated at 115volts
You must convert the voltage. In order to produce 1A at 115V you must use at least 115/12~10A of the battery. Simple customer grade voltage convertes rarely have efficiency better than 80% - so you must drain even more than 12 times higher current from your battery than you may make available to your device.

You have awfull mess with units: you mixed units of energy with units of power.
 
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  • #4
Thanks for the help! Still a bit confused but I'm getting there.

Also noted about difference between units of energy and power thanks
 
  • #5
There is another point about 12V lead acid batteries. They should not be discharged to much below half of their capacity rating or they will not survive. So a 100Ahr battery can only be used as a 50Ahr battery. Crazy but true (advertising standards seem to be ignored here) and it can be an expensive mistake to ignore this. There are some batteries, referred to as Deep Cycle, which can be take lower but you would need to read the actual spec about how much you could take at the rate you need.

I totally agree with the foregoing comments about practicability and efficiency. the Ahr value is only a guideline and every other link in the chain will only serve to taqke things below this value. Tough. Do the sums and then spend much more than you calculated (as in all things).
 
  • #6
bobjenkins777 said:
Thanks for the help! Still a bit confused but I'm getting there.

Also noted about difference between units of energy and power thanks

You also have to keep in mind that real run-time is not linear with most lead-acid battery types.
http://www.thermoanalytics.com/docs/batteries.html
http://batteryuniversity.com/learn/article/calculating_the_battery_runtime [Broken]
 
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1. How is battery life measured?

Battery life is measured in terms of capacity, which is the amount of energy a battery can hold. It is typically measured in units of ampere-hours (Ah) or milliampere-hours (mAh).

2. What factors affect battery life?

The factors that affect battery life include the type of battery, the load placed on the battery, the temperature, and the age of the battery. Higher capacity batteries tend to last longer, while factors such as high usage and extreme temperatures can decrease battery life.

3. How do I calculate the battery life for a specific device?

To calculate the battery life for a specific device, you need to know the battery capacity and the power consumption of the device. The battery life can then be calculated by dividing the battery capacity by the power consumption of the device. For example, if a battery has a capacity of 1000mAh and a device consumes 100mAh of power, the battery life would be 10 hours (1000mAh / 100mAh = 10 hours).

4. Can I extend the battery life of my device?

Yes, there are several ways to extend the battery life of your device. These include minimizing usage of power-hungry features such as location services and screen brightness, keeping your device in a cool environment, and regularly calibrating your battery by fully charging and then fully draining it.

5. How does battery life impact the environment?

Batteries contain toxic chemicals that can harm the environment if not disposed of properly. Therefore, it is important to recycle batteries and use rechargeable batteries when possible to reduce waste and minimize the environmental impact.

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