The actual meter portion of analog meters are essentially the same (Volt,
Amp, Ohm) they register the voltage presented to them.  The way the are
placed in the circuit makes the difference.  Volt meter across the voltage,
Amp across a shunt (a low resistance resistor) to measure the voltage drop
across the shunt and Ohm has its own power supply to measure resistors.

The normal setup for fuel tanks is for the meter to be supplied with the +
voltage and one side of the the variable resistor in the tank  connected to
the meter and the other to ground.  In the case of a metal tank such as in
an automobile the tank itself is grounded so there is no need for a second
lead.  If the tank is plastic then a ground lead is needed to the frame of
the sensor assembly.

If there is no connection to ground then the meter should not move.

You said you measured the resistance across the sensor on one tank.  Is
this the one you think is failing?
If not you can measure the sense line to ground to check the resistance on
the one you think is failing.
If it is the new tank that is failing are you sure that on the tank sensor,
one side is connected to ground and the other to your meter?

You could try to find something in the 100 ohm range to test the meter -
light bulb etc.

Good luck.

Don Newman
C&C 44
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