Bob_Brennan said:
"Before you can fix anything you need to know what's broken and what's not. If it ain't broke don't fix it, 'cause if you do it will surely be broken after.
Disconnect the sender wire at either end, and test the gauge and sender unit separately. The sender unit is just a variable resistor (rehostat), so you can test that with an ohm meter. The gauge needs 12-volts power, ground return to the battery, and some reisistance between the "T" terminal and ground. If you install a fixed resistor on the back of the gauge in place of the signal wire, make resistance equal to the sender unit with half tank of fuel, and the gauge should read 1/2. That's just the first step of diagnostics, figuring out which device is faulty.
Yup, all good advice. Barney is a Good Guy, even if he does prefer those octagonal cars
Usually the terminology is what baffles people, so I'll trot out the old plumbing analogy: Voltage is (roughly) comparable to water pressure, it's the force trying to 'push' electricity through something. Current is a measurement of how much water is flowing; you can think of "amps" (which is shorthand for amperes) as being buckets of electrons per second (or whatever) without worrying about how big such a bucket is.
Then "resistance" is whatever prevents the water from flowing; a large pipe (wire) presents almost no resistance, while a tiny pinhole presents a high resistance. If no water/electricity can flow at all, we say the resistance is infinite.
And a "variable resistor" is kind of like a faucet, turn the handle (or lift the arm in the tank) and the resistance goes from high to low allowing water/current to flow.
To measure resistance, one uses an "ohm meter", or more commonly a multimeter (which can measure several different parameters like volts, amps & ohms). These days, digital multimeters are so cheap and rugged that there is no excuse for any old car owner to not have at least one of them. (I've probably got a dozen, because I keep one in every car, plus a couple on the workbench and one in the tool chest, etc.) This unit is reasonably accurate for automotive work:
https://www.harborfreight.com/cpi/ctaf/displayitem.taf?Itemnumber=98025
although something like this
https://www.amazon.com/Actron-CP7677-Auto...0616&sr=8-2
may be worth the extra money (it also measures rpm & dwell).