First slide

Magnetic properties of matter

Question

The magnetic susceptibility of a material of a rod is 599, permeability of vacuum is $4 π \times 10^{- 7} henry/m$ . Absolute permeability of the material of the rod in henry per meter is

Moderate

A

$π \times 10^{- 4}$
B

$24 π \times 10^{- 5}$
C

$3 π \times 10^{- 4}$
D

$4 π \times 10^{- 4}$

Solution

$M a g n e t i c S u s c e p t i b i l i t y, χ = μ_{r} - 1$
$w h e r e μ_{r} i s r e l a t i v e p e r m e a b i l i t y (μ / μ_{0}) \Rightarrow χ = \frac{μ}{μ_{0}} - 1$
$G i v e n : χ = 599 \Rightarrow 599 = \frac{μ}{μ_{0}} - 1$
$\Rightarrow \frac{μ}{μ_{0}} = 600; μ_{0} = 4 π \times 10^{- 7} \Rightarrow μ = 24 π \times 10^{- 5} henry/meter$

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