Grass ala Mowed said:The relay does not replace the fuse or reduce the load. Properly wired, the fuse will blow to protect the circuit from a short circuit. If the horn draws 15 amps (and I think that's high) you need a 20 amp fuse. The fuse should be in the power wire (use an in-line fuse holder) before the relay. I have seen unfused circuits cause vehicle fires and a lawn mower battery has enough power to start a fire.
Since the relay requires a small amount of power to operate, it will increase the draw slightly, on the order of 1/4-1/2 amp. The relay allows use of smaller wiring to the horn button and a smaller button. But look at the horn rating and the button rating, we may be making much ado about nothing.