[Physics] Do Alkaline batteries, $\mathrm{NiMH}$, rechargeable alkaline, Lithium $\mathrm{AA}$, all have similar MAX POWER

batterieselectric-currentelectricitypower

So in physics, one smart teacher told me,
$$
V = IR
$$
or
$$
I = \frac{V}{R}
$$
but it is not always true, because $P = VI$ and each power supplying device (such as battery) has a "maximum power" it can provide. So $I = V/R$ is true as long as $P = VI$ doesn't exceed the maximum power the battery can supply.

So will old style $\mathrm{AA}$ batteries, Alkaline $\mathrm{AA}$ batteries, and $\mathrm{NiMH}$, rechargeable alkaline, Lithium $\mathrm{AA}$ (Energizer) all have similar MAXIMUM POWER? I am suspecting my Mario Kart Remote (fit in a wheel) for playing Mario Kart Wii not behave the same when using different batteries. The best seems to be the Duracell Ultra Alkaline, and then the Duracell rechargeable pack for Wii remote ($2.4V$ only) works also flawlessly (but can it be, because it is very snug?)

Otherwise, sometimes I turn left and do a drifting and the console thinks that I am drifting right… so it does seem that different batteries have different outcome… and I am suspecting can the Wii need more power than some batteries can provide? and so how do they work really?

Best Answer

For the purpose of this question, I'm assuming by MAX POWER you mean the maximum peak wattage - or in other words the intersection of voltage and current draw where power is at its peak.

So will old style AA batteries, Alkaline AA batteries, and NiMH, rechargeable alkaline, Lithium AA (Energizer) all have similar MAXIMUM POWER?

No. They have different chemistry, and the power curve is different. But that doesn't matter, because the root of your question doesn't depend on maximum power:

I am suspecting my Mario Kart Remote (fit in a wheel) for playing Mario Kart Wii not behave the same when using different batteries.

...sometimes I turn left and do a drifting and the console thinks that I am drifting right... so it does seem that different batteries have different outcome... and I am suspecting can the Wii need more power than some batteries can provide? and so how do they work really?

The Wii remote should consume between 50 and 200mA, or 150 to 600mW. All these battery chemistry types are perfectly capable of meeting these requirements while they are new and /or fully charged. As the power is consumed, the batteries will eventually be unable to meet the 600mW power requirement, and the wiimote will generally shut off to prevent players from using the remote when it is unable to operate correctly due to low power conditions.

In other words, changing the type of battery will not change the operation of the remote.

However, if you believe this to be the case, there are instructions for connecting your wii remote to a computer and logging the data stream. You can therefore construct tests to verify your theory that different battery types will affect the performance of the wiimote.

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