I thought I knew this stuff, but there is a nuance that I'm not
> getting.
> I have a fiber optic lighting system in my swimming pool. It takes a
> 24v/250A light bulb. The bubl does not light, but the filiment is
> okay. The power supply (transformer) does not put out any voltage, so
> I bought a new one.
>
> The new transformer is stated to provide 40VA, but the light does not
> come on. My guess is that a VA and a "regular" A are different.
> What's the difference?
VA is VoltAmps or Watts in DC current systems, a measure of power output and most commonly used with backup power supplies although it works on transformers.
250A is way too high for any bulb. 24V 250A is enough to run a MIG welder. :)
It's time to start tracking. Start with the AC power to the transformer and make sure it's working and the breaker hasn't popped or the switch failed.
Then take an ohmmeter and measure the bulb side of that circuit to make sure it's good and the bulb holder or wires haven't corroded. (there could be a switch somewhere in that circuit also)
Hard to tell without looking at it myself.