Does it pop the fuse immediately once it is in reverse?
Does it pop when other dash lights(center diff/od off) are activated or is it only reverse?
Do you have a camera or sensors when in reverse? Is that circuit pulling more amperage than a factory
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don’t do these things, because your 23 year old truck that you drive into the abyss, that is a zombie apocalypse contender can’t handle these types of repairs or diagnostics:
1) give it all a chance to dry and see if it fixes itself.
2) if the fuse blows immediately, disconnect the battery from the vehicle. run some speaker wire from the battery to the reverse lights for 1 second. If the fuse blows, you know that circuit is the issue. If the circuit is a daisy chain set up, you can start at the light closest to the battery and disconnect the lights behind it. If the fuse doesn’t blow reconnect everything and move one light down, repeat. Once the fuse blows, you know the problem is between a those two bulbs. Temporarily run speaker wire from the last socket that worked to the first one that didn’t, reconnect the battery, try to blow the fuse. If it doesn’t blow, you know where your problem is. When you have a second, properly install a wire.
3) your truck will probably explode if you do this. Put a 20A fuse in there for a second and see if it works. If it works, you know that the issue probably won’t be super obvious. It could be a loose connection or a corrosion issue that passes the eye test.
P.S. I have used these techniques. They get a bad name because some idiots end up with an entire vehicle made out of temporary hacks. You can fix a vacuum leak with a piece of gum, or you can upsize one fuse. You don’t want a car with both. Yes certified mechanics will warn you that you should pay them $90/hour because you have a 0.05% chance of burning a $80 sensor. There are better ways to do this, these are quick and effective. The negative stories from these fixes are a lot like witness’ descriptions of cow tipping. When I hear, “My cousin’s friend’s uncle put a 20A fuse in and his ECU was fried as a result.” I hear, “one time a guy on YouTube replaced a 15A with a 120A circuit breaker on a car with a flood/salvage title.”
all factory parts on our trucks have exceeded their intended life span. You can’t shorten their lifespan by making them work after they stop working. Just make sure the hack is isolated to just that circuit.