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Question
Which of the following is not a dimensionless quantity?
Options
Relative magnetic permeability (µr)
Power factor
Permeability of free space (µ0)
Quality factor
MCQ
Solution
Permeability of free space (µ0)
Explanation:
As B = `(mu_0"i")/(2pi"r")`
[µ0] = `[("B"xx2pi"r")/"I"]`
= `["N"/"Am"xx"m"/"A"]`
= `["N"/"A"^2]`
= MLT-2A-2
Clearly, µ0 is not a dimensionless quantity.
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