430 Battery & Power Steering Issue

Recent F430 owner, still getting used to many things. Had an issue in the last few days, hoping it's me being silly rather than a problem with the car.

I've been driving the car every day, and loving it.

On a recent 400 mile roundtrip, I stopped not far from home to put in some fuel. Starting the car back up, the battery light came on (on the dash), and my power steering stopped working. I was able to drive it home though.

I found online that the battery light comes on when the batter is 'insufficiently charged'. I've connected the trickle charger to the connector behind the passenger seat, which now shows the battery as fully charged, but the battery light remains on.

I'm hoping the two problems are related, and really hoping that I'm just an unexperienced owner and someone can point me in the right direction of something silly I haven't done, or need to do.

Any advice please??

 

Thanks for the advice.
I've only had the car a few weeks, but not sure when the belt was last replaced though.

 

No noises, literally nothing out of the ordinary. Just pulled up to a pretrol pump, filled up as normal, started the car up and as I started driving off I noticed the battery light came back on (after the normal ignition start checks) and the lack of power steering.

 

Air con seems to operate without issue, both hot and cold air working fine (although granted it's not A/C like you'd find in modern cars).

 

Thanks all for your suggestions.
The dealer picked up the car and confirmed the A/C Compressor had failed, and the belt had come off.

Great to know there's some experienced and knowledgable people on here to help point us noobs in the right direction!