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I am currently working at a company for a work placement who make underwater mateable electrical connectors. The company recently have been asked to make a connector which can withstand high temperatures. Basically, the conductor parts of the connector will be in hot oil which will have a temperature of 140c. (Ambient temp 35c).

I was asked to find out how the resistance will change with this increase of temperature. I know of an equation which i think would help (R = r0 [1 + a(T-t0)] ) but im not sure this is the right way to go about it. The american comapny who wanted the connector gave me a vague equation similar to R = I^2 * T which i have never come across. I think its because resistance will increase exponentially, as increasing the temp will increase resistance which will inturn make the conductors hotter.....(i hope i am talking sense here)

Can anyone offer me guidence in this matter?

Any help would be greatly appriciated.