25 watts TV will not work on a 100 watts inverter?

thanks, this charger has both the battery clamp and the cigarette plug, but the thing with this charger is that in order for me to use the 500 watts, I have to use the battery clamp hook directly to the battery, otherwise I can only use 100 watts using the cigarette plug, I've tried hooking up the TV which uses 25W and the PS2 slim which uses 45W to the sleeper cab plugging into the cigarette socket, it works great, but when I tried my Xbox 360 by itself, the charger giving me a warning signal, so that means I have to hook it directly to the battery, but how do I hook it to the battery? I have an inverter behind the driving seat but it doesn't work, and that it's connected to a black and a red wire which comes out of the ground under the driver seat, so do I disconnect the wires from the inverter and then clamp it for use with my 500W inverter? Will that be direct battery connection?

 

A while ago I tried clamping my red clamp from my 500w inverter directly to the end of the red wire from the ground with it still attached to the broken 1500W inverter, and it created a lot of sparks and lots of smoke came out from the inverter, what happened here?
I'm not sure if I want to try it again, or is it 100% safe once the red wire from the ground is disconnected from the broken inverter?

 

ok, just one more stupid question and I'm done asking, when I tried to clamp the battery clamp to the wire while it is still connected to that already broken inverter, the smoke come out, I mean further damage to that inverter is no big deal because it is already broken, I'm afraid that I might have damaged the battery in any ways? Is it possible to blow a fuse or damage the battery from what I did earlier?