Dubversion said:
it's all 240 volts, we're using an inverter.
or is that irrelevant?
ah - dammit.
*short answer*
if you were drawing 500watts continuously, the invertor was 85% efficient, and you're using a bog standard car battery you'd probably get around 10 hours use out of it if the batteries were fully charged and new without either the invertor cutting out, or you damaging the batteries, though depending on the invertor you could possibly push that to 15-20 hours though if you did it regularly the battery would fuck up pretty quick.
If it's a proper deep cycle battery then you'd probably get 25-30 hours ish off it at a push again dependant upon the operating range of the invertor.
*long answer*
ok everyone above's pretty much right, though there's some stuff you need to check on your invertor instructions...
first check if the 500 watts is the average or peak output. A lot of cheap invertors list their peak output rather than their average / continuous - if it was it's peak output then that'd mean it would handle 500 watts for a short period, but it'd overheat and shut off if you tried to draw it continously. The continuous / average rating is the highest level you can run it at continuously for hours on end without it overheating and cutting out.
2nd check is what the operating voltage range of the invertor is - ie what range of input voltage from the batteries will it operate at before it cuts out - 11v-15v, 10.5v-15v, 11.5v-14.5v? This will potentially have a major impact on how long the batteries will last before the invertor cuts out.
third check if it's a square wave, modified sine wave or pure sine wave invertor. Basically the square wave ones are generally the cheapest, and pure sine wave the most expensive. If it doesn't say then I'd presume it'd be a square wave one, coz the pure sine wave ones tend to make it obvious. Basically this matters if you're using it for sound as square wave invertors will generally send a big buzzing sound through the system, and depending on how sensitive your amp is may fuck it completely.
the diagrams below should show you why, basically the invertor is doing 2 jobs, changing the voltage upto 240 volts, and changing from direct current to alternating current. Square wave invertors make a very basic attempt at aproximating AC, modified sine wave are a bit better, and pure sine wave are 99% perfect.
square wave
modified sine wave & pure sine wave
If you've already bought your invertor though it's worth checking it out with you amp as different amps react differently to it, and some basic invertors are better than others.
**
ok as wouldbe suggests the invertor will not be 100% efficient, if it's a cheap one then it could well be only 85% effecient (feel the heat they give off and you'll understand why). This means that if it was capable of doing 500 watts continuous this'd be giving you 500/230 =2.2 amps from the invertor
(most invertors actually kick out at 230 rather than 240 volts)... but actually drawing (2.2/85)*100 = 2.58 amps from the batteries.
If you were running this full tilt at 500 watts continuous you'd be drawing 2.58 amps per hour / 2.58 ah.
How long you can run it then depends on how long the batteries will run before the voltage drops under the operating voltage range of the invertor, which depends on the type of battery, rate of discharge, and operating voltage range of the invertor.