A blower motor shutting off with a battery charge light lit might mean that there is a problem with the power supply going to the blower motor. A bad battery or alternator could also be the cause for this.
Yes, your can charge the battery with the radio on. But why would you want to do this? It will just take longer to charge with something drawing current from the battery.
A bad battery or faulty battery connection.
Dead cell in battery, replace it.
It's in the amount of current that is used to charge the battery. If the amp-hour (Ah) capacity of the battery is known, charging at the 5-hour rate or quicker would count as a boost charge, while charging at the 20-hour rate or slower would be a trickle charge. So for a 40 Ah battery, a boost charge is more than 8 amps while a trickle charge is less than 2 amps. A normal charge would be 4 amps.
In my experience this usually does mean that the alternator is not sending the battery enough charge. Many auto parts stores will bench test your alternator for free, some can even test it while it is still on your car. I recommend getting it tested. They can also test your battery; you would be surprised how fast a battery can go bad. Sometimes you can get a battery that is just a lemon. I hope this is helpful.
You would have to know the voltages of the battery and the UPS to know for sure. For example if the UPS' output is 120 volts, then it is capable of 5 amps of output. If the battery is also 120 volts, then it would take the UPS 29 hours to fully charge the battery. However if the battery was rated at 220 volts, then the UPS would never completely charge the battery. The source of the charging voltage must exceed the battery's voltage in order to fully charge it.
If the alternator is good and the battery does not charge, then the battery may be bad. There could be problem with the electronics. You will need to take it to a place where they sell batteries. They have equipment to check out the battery and the wiring.
the battery could have a dead cell, this could cause it to not charge. Have the battery tested to be sure.
If you have already checked the connections on the battery I would suggest testing the alternator and the battery. If the battery will not take a charge or the alternator will not give a charge you could have similar problems.
Well i would suggest connecting the battery...
You don't. This would put a strain on the alternator and may burn a diode out. Charge it with a deep cycle battery charger.