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QPage 285: Q3: HC Verma: Concepts of Physics - Volume 2 Magnetic Properties of Matter Page 285: Q3 Solution: Do permeability and relative permeability have the same…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often mistakenly assign dimensions to relative permeability ($\mu_r$) by treating it as an independent physical constant rather than recognizing it as the ratio of two quantities with identical dimensions ($\mu/\mu_0$), which must always be dimensionless.
Do permeability and relative permeability have the same dimensions?
Step-by-Step Verified Solution
**Answer:** No, permeability and relative permeability do not have the same dimensions.
**Step-by-Step Explanation:**
Permeability () is defined by . Its SI unit is or , so it has dimensions.
Relative permeability () is defined as , where is the permeability of free space. Since it is a ratio of two permeabilities, is a dimensionless quantity.
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