Even with the ignition off and the keys out, the battery light would still stay on to show its fooked ? There still seems loads of power in the battery

Ive been out and had a look at the wires, nothing seems bare or shorting out anywhere but the alt is definitely noisy.

Theres the main power wire to the alt, and then a small blue wire that goes on a seperate connector, when i remove the blue one the light goes off.

Thanks again