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Is There A Portable Power Source That Will Recharge A 56v Battery

Should lithium-ion batteries be taken off the charger when fully charged?

It's my understanding that electric storage in lithium-ion batteries is a dangerous, thing, but, with constant monitoring and measurement of temperatures, it has been made safe.    It's also my understanding that it's very bad to over-charge a lithium-ion battery.   Lacking actual facts I've been assuming that since my phone pops up a notice stating that it knows my battery is fully charged, that the electronics in this in this ultra-powerful multi-gigahertz marvel of technology would be smart enough to stop sending power to a battery that is fully charged.My newest phone, Samsung Note 4 actually says I should take it off the charger.    He're my concern, rechargeable batteries have a limited number of cycles, in my mind every time you discharge that battery you are doing a little damage to it.   Isn't it better to have the phone on the charger?Is my assumption that the phone can be powered without destroying the battery correct?  Should I write up a patent for this unique idea that nobody has every thought of before?  Or is Samsung just being slimy and trying to sell more batteries.

What is the difference between floating charger and boosting charger?

Here you go:1. Float charging is used where the battery rarely gets discharged.Float charging of a battery involves charging the battery at a reduced voltage.a) This reduced voltage reduces the possibility of overcharging.The Float charger ensures that the battery is always in the charged condition and is therefore considered "floating".b) The Float charger starts by applying a charging volltage to the battery. As the battery gets charged, its charging current reduces gradually. The float charger senses the reduction in charging current and reduces the charging voltage.c) If the battery gets drained, the float charger will again increase the charging voltage and process continues.2. Boost charging involves a high current for short period of time to charge the battery. It is generally if the battery has been discharged heavily.a) Boost charge enables the quick charging of depleted batteries.b) For instance, a two volt lead acid battery which has been discharged will initially be boost charged with a charging voltage of around 2.35-2.4 volts. However, as the battery voltage rises, the charger will switch over to the float charge mode with a float voltage of 2.25 volts.

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