I have a problem with the 20amp fuse blowing when I connect my 10’ trailer to my 2551. The running light fuse is ok when the trailer is not attached to my PC. And I’ve tested the trailer with other vehicles and there is no problem with the fuse. But when I connect the trailer to the PC after 15+ minutes the running light fuse will blow. I’m using the OEM PC trailer wiring.
Curious, does the fuse blow after the lights are on, and vehicle 'at rest' in the driveway after 15 min? Or only underway/in motion?
One thing I’ve noticed is the the E450 has a separate fuse for the right trailer signals and another separate fuse for the left trailer signals. However the running lights for both the rear E450 and trailer are all on the same E450 fuse? That means that 20 amp fuse is powering a total of 15 combined rear running light on the PC and trailer. That’s a lot lights for one 20 amp fuse even though they are all LEDs.
Using incandescent, the 'biggest' running light would be the low power filament on an 1157 bulb, at ~8W or ~.6A. The smaller marker lights (#194) draw ~5W or .3A. If ALL 15 bulbs were the 1157 incandescent parking lights, you would be at ~10A , or 1/2 that fuse rating. LED is even lower at 1.7W or ~.14A each - you are not even close to overloading the 20A fuse. (wattage values rounded up, source https://deepblue.lib.umich.edu/bitstream/handle/2027.42/61187/100985.pdf page 9)
What am I missing. Is there another fuse for the trailer running lights? I can’t find one in the 2007 E450 OEM booklet. The brake lights, turn signals and flashing lights all work properly. But I have no tear running lights on either the PC or trailer after 15 minutes.
This source -
https://fuse-box.info/ford/ford-e-series-2002-2007-fuses-and-relay - shows that there is a fuse for the coach running lights (#10 20A in the under dash panel) and a trailer running light fuse (#24 20A in the under hood panel) Which fuse are you replacing? And are you losing ALL the running lights, or just the rear?
NOTE - going out to verify. I found that the numbers on the website diagram for fuse layout do NOT match the under hood sticker. Relay letters are correct. See below-...

But the fuse number assignments do. WHEW!
In my 2006, I have come to the conclusion that PC wired up the coach rear running lights on the coach to the trailer running light wiring harness and fuse. (#24 underhood, 20A) . If I pull fuse #10 (underdash, 20A), (diagram and assignment are CORRECT for this box

) I lose all running lights. If I pull #24 under the hood, I lose only REAR running lights on the coach, and the trailer running lights.

But front markers and running lights work still. This tells me there may be an unused pigtail underneath that has the wires for the COACH tail lights on it, and the PC factory used the trailer pigtail for both the coach and trailer lights.
Same issue with the hazard/turn/tail lights - if the underhood fuse #26 blows, I lose the trailer turn/brake/hazard lights AND the coach REAR turn/brake/hazard. Front turn/hazard still work. My emergency brake module on the trailer was creating some sort of problem that was blowing out the #26 underhood fuse, and causing ALL my rear brake/hazard/turn lights to not work. 3rd brake light still worked, however. That is correctly wired and uses fuse #39 underdash, like the rear coach brake lights are SUPPOSED to.

So be careful in assuming that PC wired the rear lights correctly 'per factory guidelines'. On my 2006 they obviously did not. With the electric brakes, and breakaway emergency brake module attached, that creates a problem that blows the #26 underhood fuse. Intermittently, and only underway. Like yours, the trailer worked fine with brakes on another truck. I now have the breakaway module disconnected, and have had no issues since on the camper. SOMEDAY I will locate the correct pigtail for the rear lighting and wire it correctly.
Hope this helps a little!
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Also to save you some time - A resistance in the ground (white) wire would not cause excessive current draw,
in our DC voltage system .
Use the calculator here -
https://www.rapidtables.com/calc/electric/watt-volt-amp-calculator.htmlInput 12V , and 6 ohms (resistance of a 1157 'high' filament) and press calculate - you get 24 watts, 2 amps. Right on!
Now lets add some resistance to the circuit from a corroded ground connection, say 10 more ohms. Now WITH the bad connection, our circuit is 16 ohms resistance total. Now reset the calculator, insert 12V and 16 ohms values, and calculate... now there is 9 watts and .75 amps used. You can try higher values, but you will find as the circuit resistance increases the current draw drops, not rises.
What if we REDUCE the resistance, like due to an unwanted grounding in the bulb fixture? Say there is 30 feet of 16ga wire between the fuse and the point in the fixture grounding out. Per this calculator (
https://www.cirris.com/learning-center/calculators/133-wire-resistance-calculator-table) 30 feet of 16ga wire is about .12 ohms. Putting that value in the fist calculator, along with 12v, and you find that the short will attempt to draw 100A (!) and quickly blow the 20A fuse.
So as you can see, adding resistance to a DC circuit like your trailer lights reduces the current drawn, and does not increase it and blow fuses.