Thermal Analogue: Temperature and Heat Capacity or Opposite?

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The discussion centers on identifying the correct thermal analogue of voltage and capacitance in electricity, debating whether it is temperature and heat capacity or the opposite. Participants highlight that while temperature difference and thermal capacity may serve as a simple model, analogues can be misleading if not used cautiously. Concerns are raised about the potential pitfalls of relying on analogies, as they can lead to incorrect conclusions despite similar mathematical forms. The importance of understanding the underlying processes is emphasized, as different systems can yield different solutions even with analogous equations. The conversation underscores the complexity of drawing parallels between thermal and electrical concepts.
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Which one is the correct thermal analogue of voltage and capacitance in electricity?
Temperature and heat capacity or opposite?
 
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Any help is appreciated.
 
Abdul Quadeer said:
Which one is the correct thermal analogue of voltage and capacitance in electricity?
Temperature and heat capacity or opposite?

Temperature Difference and thermal capacity, possibly, for a simple model. But why? Analogues are full of pitfalls unless you use them carefully.
 
sophiecentaur said:
Temperature Difference and thermal capacity, possibly, for a simple model.

Thanks!

sophiecentaur said:
But why? Analogues are full of pitfalls unless you use them carefully.

I just wanted to check if my book is correct.
 
It's just that the Maths has the same sort of form - describing a linear relationship between two variables - nothing more. I am prickly about analogues as they frequently lead people to some odd conclusions.
You can't even rely on the MAths to make it ok. Even when two processes share the same simple quadratic form of equation, there are situations where the solution for one process can have both roots allowed but another can't.
 
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