Hello. I am considering buying a 100w inverter and connecting it directly to my 2.3Ah 12V Lead-acid battery through alligator clip cables. My question is whether there is a minimum battery capacity, bellow which the inverter wont work, (for example, would my battery power a 100w inverter or would there be adverse effects due to it not having a high enough Ah rating?) I'd be using the inverter to power a 10w compact florescent bulb for 1hr daily. the battery is recharged using a solar panel. Also what cable gauge would be recommended to connect the 100w inverter to the battery? Thanks