T(R) -> Temperature is a function of resistance. Therefore, if I want to find out a Temperature at a specific Resistance you can plug in a value of 10 kohms and get a corresponding value of Temperature -> degrees C. -> This is Given. 3 Constants are provided and fixed. They are givens. Goal -> Rewrite T(R) Equations so that Resistance is a function of Temperature -> i.e. R(T) := ??????? I would like the equation in a format where I plug in a temperature and get a corresponding resistance. Again I am looking to rewrite T(R) as R(T):= Can somebody help

J

JH_9781973

8-Gravel

Solved

Equation not solving in Mathcad Prime

Forum|Forum|4 years ago
September 14, 2021
7 replies
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T(R) -> Temperature is a function of resistance. Therefore, if I want to find out a Temperature at a specific Resistance you can plug in a value of 10 kohms and get a corresponding value of Temperature -> degrees C. -> This is Given.
3 Constants are provided and fixed. They are givens.

Goal -> Rewrite T(R) Equations so that Resistance is a function of Temperature -> i.e. R(T) := ???????

I would like the equation in a format where I plug in a temperature and get a corresponding resistance.

Again I am looking to rewrite T(R) as R(T):=

Can somebody help

Mathcad Usage

Best answer by LucMeekes

Note that, due to the third power, you get three possible solutions of R for every value of T.

So here is the general solution:

With x, y and z defined numerically, you can have:

Only the first of the three solutions gives a real answer (the other two are complex).

Assuming you don't want the complex answers, you can set:

which yields:

and of course, with:

you get:

Success!

Luc

W

Werner_E

25-Diamond I

You may use a solve block or the "root" function.

The names T_ and R_ were chosen for the function arguments (and later for the abscissa variables) to avoid conflicts with the name of the two functions. Feel free to change them as you think is appropriate.

P6 sheet attached

1_TR.zip