I changed the water coolant temperature sensor at the weekend. I changed it because the dashboard gauge would drop from 90c to 60c (zero) of its own accord as I was driving along. Equally it would rise quickly back to 90c a few minutes later. I'm pretty certain the actual engine temperature was not reflecting this.

Before I changed the sensor the gauge very consistently measured 90c.
With the new sensor the gauge rises to about half way between the dot after 60c and 90c - about 80c?
Tonight on my drive home I put the air con into diagnostic mode measured the engine temperature. It quickly rose to 75c and stuck there plus or minus a degree for my whole commute (35 miles).
So I don't think I've anything to worry about?
Except I've now noticed the fan is running full speed when driving and is still running for a full 5-6 minutes after I've stopped the car.
I can't say I've paid too much attention to it before but I don't think this is 'normal'. Is there something I need to do after replacing the sensor to 'reset' the the fan? Or do I have another separate issue?