First, I would have the check engine diagnostic codes read to determine if they're related to the fluctuating gas gauge (not likely).
The gas gauge 'sending unit' is part of the fuel pump assembly *inside* the gas tank - if it's bad, you'll be having to drop the tank.
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The check engine light only comes on for something that affects emissions
No , the CHECK " GAGE " light comes on if the gas gauge is at or near empty , the engine coolant temperature is HIGH , or the engine oil pressure is LOW
If your engine light comes on and your temp gauge is lower then normal. listen for cooling fans. if they are also running chances are you need a new thermostat
When my check engine light comes on, it is caused by the temperature sensor not working. As soon as the light comes on, my temperature drops to cool. If the light goes out, the temp gauge returns to normal.
On a 2002 Ford Ranger : The check " gage " light comes on if : The engine coolant temperature is TOO HIGH The engine oil pressure is TOO LOW or The fuel gauge is at or near empty
The check gauge light will come on if : the engine coolant temperature is too hot the engine oil pressure is too low, or the fuel level is near empty The next time the check gauge light comes on, check those 3 gauges to see if anything is outside of the normal operating range.
The check gage light comes on if the engine coolant temperature is too high , the oil pressure is too low , or the gas gauge is at or near empty
On a 2002 Mercury Mountaineer : The " check gage " light comes on if the engine coolant temperature is too high , the engine oil pressure is too low , or the gas gauge is at or near empty
Check engine light : Gauge cluster without tachometer ( under the engine oil pressure gauge ) Gauge cluster with tachometer ( just to the left of the battery voltage gauge )
More the likely the alternator has quite working are the belt / belts have broken on the front of the engine.
When the oil light comes on when a 2002 Ford Taurus is idling it means there may be a problem with the oil pressure that needs to be checked.
An engine cylinder misfire has been detected if your check engine light is flashing on and off