Okay, I realize there is no alternator gauge in the Mini but where is the alternator located? I'm not sure if my alternator is actually working.

 

Hello.

In the n12 Cooper engine its down here. On the passenger side towards the front of the car.

 

Yeah, I looked when I was doing my thermostat. Nothing on the 'front'/passenger side of the engine looks to be fun to work on.
I've got a whiny pulley, not looking forward to anything involving fixing that.

Edit: OP says F57, not sure if that's a mistake or if they posted in the wrong subforum.
F57 would be a 3rd gen...

 

Correct me if I'm wrong but a 2010 Mini Conv. is listed as a F57?

Bottom line is, it seems odd that an amp or voltage isn't available.

 

R57 for a 2010
F57 would be a 2014-22

 

Thanks, I don't know where I picked up the F57. Must be my old age kicking in.

 

Yep then the picture above is the alt for your car. On the back of the alt it should be printed with some number that can be cross refed to the voltage and amp of the part.

 

F57 would be 2016-22. The 2nd gen and n18 motor continued to 2015 for the vert and 2 seaters.

 

For what is worth for future DIYers:

Any repair in this area of the B38/48 is a pain. However if you have a leak only at the water pump (serpentine belt side of engine) and not at/also the thermostat, you can replace the water pump
through the wheel well and not have to remove the alternator. Remove the passenger front wheel, plastic wheel liner, remove serpentine belt. It's a tight fit but reaching upwards unbolt
the water pump and pull it off. If there is a leak at the thermostat (facing front of engine), alternator bracket which houses water pump and thermostat must be removed and entire unit replaced.
This requires alternator to be removed, radiator fan, various engine trim pieces and likely AC compressor.