I know what resistivity of materials are like, and is given by the formula: R =

Logan Lamb

Logan Lamb

Answered question

2022-05-13

I know what resistivity of materials are like, and is given by the formula:
R = ρ L A
However what is the volume resistivity of materials like copper and aluminium for instance? How do we calculate the volume resistivity of materials, because this was confusing when I read the site:
Method of calculating eddy currents of a conductor, is this correct?
Where there is the answer given by Floris states the equation:
F = v B 2 A ρ / t
Where ρ is given to be the volume resisitivity.
My question:
how do we measure the volume resistivity of a material for example aluminium?
what happens if the thickness of the material changes?

Answer & Explanation

verdesett014ci

verdesett014ci

Beginner2022-05-14Added 18 answers

The volume resistivity is an intrinsic quantity of materials, just like masss density; meaning it doesn't depend on the amount of matter in materials. In other words, since ρ is an intrinsic property, its value doesn't depends on the material size (to answer your second question).
(To answer your first question) Practically, you can measure it for a given material by sampling the material in question with different sizes and average the results. ρ is calculated with rearranging the equation you mentioned:
ρ = R A L
You can certainly measure R with multimeter/Ohmmeter, and A & L with your ruler

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