PHXI02:UNITS AND MEASUREMENTS
367580
What are the units of magnetic permeability?
1 \({\rm{Wb}}{{\rm{A}}^{ - 1}}m\)
2 \({\rm{W}}{{\rm{b}}^{ - 1}}{\rm{A}}m\)
3 \({\rm{Wb}}{{\rm{A}}^{ - 1}}{m^{ - 1}}\)
4 \({\rm{WbA}}{m^{ - 1}}\)
Explanation:
From Biot-Savart’s law, \(B = \frac{{{\mu _0}}}{{4\pi }}\frac{{idl\sin \theta }}{{{r^2}}}\)
\({\mu _0} = \frac{{4\pi B{r^2}}}{{idl\sin \theta }}\)
\(\therefore \) Unit of magnetic permeability
\( = \frac{{tesla\,{m^2}}}{{Am}} = Wb{A^{ - 1}}{m^{ - 1}}\)