It might not work because 500mA is only half of one amp.
Think of it like this… Voltage is the pressure and amperage is the volume. If you plug it up to something with too high a voltage then the high pressures can, and will, burn out the circuitry. Just like hooking 100psi plumbing to a 200psi source.
But if you plug it up to something that can’t provide enough amperage (current) it would be like turning on all the water in the house while you are taking a shower. Not enough water can come in to meet demand and the pressure (voltage) drops.
Plugging the device up to something with a higher amperage rating but the correct voltage won’t hurt a thing. So if you find an adapter that’s 2 or 3 amps then you should be fine.
In fact, it’s possible that the adapter you have has a higher output than necessary. I wouldn’t want to risk it because if you pull too much current then you could overheat the adapter.
Some adapters are AC and some are DC and that part has to match too. Batteries are DC and house current is AC. Check that part, because it probably won’t work if you try to send DC power into something designed for AC.
BTW, Power (watts) is how much work that the electricity is capable of. You can determine that number by multiplying the voltage and the amperage.
5V x .5A = 2.5 Watts
5V x 1A = 5 Watts
So of you see a 5V, 5W (or higher) adapter with no current rating then it will work too.