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There are two options: your system is drawing to much power or your battery capacity is getting low. Assuming you limited the first, it leads to the second. Batteries have finite lifespan. Batteries are consumables. How many times have you discharged the cell, about 500 or 1000 times? More important, in which conditions? Has the cell overheated? It is ...

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In the simplest case, and some unmentioned assumptions, the minimum charging time would be given by the formula already mentioned: $$T = \frac{V \times Ah}{W}$$ this gives 12x150/25 = 72 hours. However, this case makes at least two major assumptions, the battery is fully discharged and there are no losses of any kind! In the real world, the battery ...

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Electromagnetic force is not propagated by electrons, it is propagated by photons. By definition these travel at the speed of light (in the material). Impedance and capacitance play a part in how quickly the system responds to you turning it on / connection a battery, but are generally very small in a plain wire. The electrons are moved by electromagnetism ...

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The information about beginning of the flow of current is transmitted through the propagation of electromagnetic waves and not with drift velocity of electrons. Hence, any electric appliance turns on almost instantly, when the switch is closed.

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Although the electron velocity is very low, which is propagated almost instantaneously is the electric field. This causes the effect that all the electrons in the wire to start moving simultaneously (almost).

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Am I correct that you can rephrase your question to 'electrons move so slow, how come that when I flip the light switch the light comes on basically instantly?'? It's true that the electrons travel very slowly. But these electrons don't have to travel across the wire to power your light bulb. In electromagnetism, we have the continuity equation \$\nabla J = ...

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