First slide

Magnetic properties of materials

Question

The susceptibility of a material at 300 K is $1.2 \times 10^{- 5}$ , If the temperature is $327^{0} C$ , then its susceptibility is___ $\times 10^{- 5}$ .

Moderate

Solution

$C u r i e' s L a w : χ = \frac{C}{T} \Rightarrow \frac{χ_{1}}{χ_{2}} = \frac{T_{2}}{T_{1}}$
$\Rightarrow χ_{2} = (\frac{T_{1}}{T_{2}}) χ_{1}$
$\Rightarrow χ_{2} = (\frac{300}{327 + 273}) 1.2 \times 10^{- 5} \Rightarrow χ_{2} = \frac{1}{2} \times 1.2 \times 10^{- 5} = 0.6 \times 10^{- 5}$

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