Quick thermo problem[just an uncertainty]

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
3 replies · 1K views
K29
Messages
103
Reaction score
0

Homework Statement


A semi-conducting thermistor has a resistance that veries with temperature as follows:
[tex]R(T)=R_0 exp[\frac{B}{T}][/tex]
What are the SI units of the calibration constants [tex]B[/tex] and [tex]R_0[/tex]

This is just the intro chapter to my second thermodynamics course. Anyway, I'm not sure how to start off. I mean I've eliminated dimensional analysis as a way of going about things. I can see its almost an exponential decay formula. All I need is a clue or something :)
 
Physics news on Phys.org
Mathematically, what must be the units of any argument to an exponential function? (I assume you meant R0eB/T.)
 
Ok the units of the exponential function must be unitless. So B is temperature so that it cancels with T. And that leaves [tex]R_0[/tex] to be Resistance in ohms! Right? Thank u.