Chris,

You may be correct that I was assuming a more complex situation than the
original poster intended. It won't be the first time this has happened.
However, I cannot entirely agree with your "take" on the situation.

In your post you mention:

>I would assume that one of the conditions of using this formula is that

>the current flowing in the conductor at the time of resistance 
>measurement must be low enough to cause negligible heating on its own.

The original poster stated that he was trying to determine the change of
temperature in a connector, caused by increased resistance of its
conductors. This clearly implies that the increased temperature must be
due to additional resistive heating of these contacts, which in turn
means that there MUST be sufficient current flowing in the connection to
cause non-negligible heating. After all, if the additional heating due
to current flow through a more resistive contact material was, in fact,
negligible, then the connector would not get hotter, and the OP would
not be worrying about "change of temperature based on change of
resistance" as he stated. 

Bob Wilson
TIR Systems Ltd.
Vancouver.

-----Original Message-----
From: Chris Maxwell [mailto:chris.maxw...@nettest.com] 
Sent: May 13, 2002 2:09 PM
To: Robert Wilson; emc-p...@majordomo.ieee.org
Subject: RE: Constant for Change of Resistance formula.

Bob, 

I read your initial response to this thread; and I think that your
understanding of the situation is more complicated than it really is.

I snipped the following from your response:

        > Nonetheless, you cannot possibly directly determine what the
temperature
        > change of something as physically and geometrically complex as
a
        > connector, merely by factoring in what its resistance change
is. Among
        > other things, the solution is extremely non-linear and
iterative. Changing
        > resistance will generate more heat, which will increase
temperature, which
        > will generate even more heat ....and on and on! Add this to
the fact the
        > resistance coefficient with temperature is itself non-linear,
and you can

The situation that you describe ..."changing resistance will generate
more heat..." is assuming that the heating in the conductor is due to
current flow, possibly as well as ambient changes.  In the situation
that you describe, you have temperature changing (due to current flow),
which increases resistance (due to temperature change)... which
increases temperature (due to increased resistance) which increases
resistance (due to increased temperature)...  ...

I assume everyone gets the point of that train of thought, so I'll spare
any more cycles.

You are also assuming a complicated mechanical situation, such as a
connector; where there are interfaces, differing materials... many
factors that would make the math messy.

So, yes, I agree that your scenario could not possibly be described by a
linear equation.

However, I believe that the formulae that everyone is describing deal
with the change in resistance due to temperature alone.  I would assume
that one of the conditions of using this formula is that the current
flowing in the conductor at the time of resistance measurement must be
low enough to cause negligible heating on its own.  

Even with that, the equation is probably an approximation for small
temperature changes. 

Your point is well taken: that is...know the limitations of any formula
that you apply. 

To twist an old proverb: Believe half of what you see, none of what your
hear and about 10% of the formulae that can be reproduced by an ASCII
email :-)

Chris Maxwell | Design Engineer - Optical Division
email chris.maxw...@nettest.com | dir +1 315 266 5128 | fax +1 315 797
8024

NetTest | 6 Rhoads Drive, Utica, NY 13502 | USA
web www.nettest.com | tel +1 315 797 4449 | 



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