First slide

Physical quantities and units

Question

What are the units of magnetic permeability?

Moderate

A

$W b A^{- 1} m^{- 1}$
B

$W b^{- 1} A m$
C

$W b A m^{- 1}$
D

$W b A^{- 1} m$

Solution

From Biot-Savart's law, $B = \frac{μ_{0}}{4 π} \frac{i d l \sin θ}{r^{2}}$
$μ_{0} = \frac{4 π B r^{2}}{i d l \sin θ}$
$∴$ Unit of magnetic permeability = $\frac{t e s l a m^{2}}{A m} = W b A^{- 1} m^{- 1}$

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