One side of the sender (Lilac/Black wire..... when disconnected) should have 10 volts on it with ignition on (If memory serves........Voltage stabilizer output.)
'tother side of sender (Brown wire) should go to earth (Front cross member left). Mr Haynes says.
The gauge has a bi metallic strip inside with a heating element, the 'sender' varies the resistance to earth and therefore the current passing through the heating element, which in turn varies the deflection of the bi metallic strip, and hence the needle position.
Or sommert like that.
AngeloEvs is the forum Guru on things of this nature, and will be along to correct me in due course
Mike