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Attributes for each region, integration over region

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Greetings,
I am new to Comsol and tried to see if a similar discussion has been carried out before without luck.
I have a magnetostatic model with several regions (windings). I need to connect variables to each region such as conductor dimensions and integrate the B-field e.g. in a formula like:
(B-z)^2 * (conductor height)
Each region has a different conductor dimension so the integration must be carried out for each region.
I must be able to connect a variable or an attribute to each region.
This is a common problem to find AC losses. I am sure there is a way to do this but I cannot find out how.
Please help how to achieve this.
Best regards
Kamil

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