First slide

Magnetic properties of materials

Question

At a temp of $27^{0} C$ the susceptibility of a ferromagnetic material is found to be $χ$ . Its susceptibility at $327^{0} C$ is

Moderate

A

$χ$
B

$0.5 χ$
C

$2 χ$
D

$11.1 χ$

Solution

According to curie’s law $χ_{m} = \frac{μ_{0} C}{T}$
$\Rightarrow χ_{m} \propto \frac{1}{T}$
$\Rightarrow \frac{χ_{m_{1}}}{χ_{m_{2}}} = \frac{T_{2}}{T_{1}}$
$\Rightarrow χ_{m_{2}} = (\frac{T_{1}}{T_{2}}) χ_{m_{1}}$
$\Rightarrow χ_{m_{2}} = (\frac{27 + 273}{327 + 273}) χ_{m_{1}}$
$\Rightarrow χ_{m_{2}} = (\frac{300}{600}) χ_{m_{1}} \Rightarrow χ_{m_{2}} = 0.5 χ$ .

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