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October 28th, 2012, 06:07 PM   #1
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Resistance as a function of Temperature

The resistance R in a certain wire depends linearly on the temperature T. It is found that R= 51 Ohms T=100'C and that R=54 Ohms when T=400'C.
Find R as a function of T.

I got R(T)=50+(T/100)

I'm just not entirely confident this is the right answer.
Also, it is asking to graph the function. I just get a straight line and it seems too easy of a question for my instructor.
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October 28th, 2012, 06:35 PM   #2
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Re: Resistance as a function of Temperature

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Originally Posted by dave daverson
The resistance R in a certain wire depends linearly on the temperature T. It is found that R= 51 Ohms T=100'C and that R=54 Ohms when T=400'C.
Find R as a function of T.

I got R(T)=50+(T/100)

I'm just not entirely confident this is the right answer.
Also, it is asking to graph the function. I just get a straight line and it seems too easy of a question for my instructor.
They said R depends linearly on T so it is natural to get a straight line graph. R is the dependent variable and so is represented by the vertical axis, this makes T the independent variable and is represented by the horizontal axis. The ordered pairs have form (T, R).

You have two ordered pairs (100, 51) and (400, 54) so you can determine the straight line R = mT + b where m is the slope and b is the R intercept






.....Oh yes, I see now, you did everything correct in my opinion.

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