Fuel Gauge Follow up question; Formula

[70 copo]

If you want to work it then this is the detail; The float in the tank is high with a full tank and it drops as fuel is used. With a full tank the float is at the top and the resistance is low (or near 0 ohms) and the needle will point to F. As the float drops the resistance will increase and the needle will point to E.

So based on the above a short circuit = low resistance = high current flow = F
And an open circuit = high resistance = low (or no) current flow = E

So assuming the gauge is working then if you only disconnect the tan wire at the gauge the needle should point to E. Which means the tan wire is likely cut/abraded somewhere from the sending unit to your gauge.