Need help figuring out the percent operation/sleep time a battery should use per amount of time

batteries

Hoping this isn't a dumb question. I'm really new to this stuff..

I have a battery with 1000mAH, it consumes 20mA when it operates and 0.05mA when it sleeps. If I need the battery to last for a certain amount of time, lets say 8000 hours. How can I figure out the percent of time the battery will need to be operating and sleeping to total 8000 hours? Does anyone know of a formula to make this math easier?

Thanks in advance anyone who helps!
-F

Best Answer

Battery capacity C=1000mAh

Operating current Io=20mA

Sleeping current Is=0.05mA

Operating time To

Sleeping time Ts

Time total To+Ts=8000 ..................... (1)

Ignoring the self discharge,

C = IoTo + IsTs

1000 = 20*To + 0.05*Ts......................(2)

Equation (1) & (2) are two linear equations with two variables and easy to solve.

You may solve them using substitution method. Online solution here

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