Two linear magnetic materials A and B are placed in the same magnetising field H. Their susceptibilities are χ_A=+4×10⁻⁴ and χ_B=-2×10⁻⁴. The ratio of their magnetisations $I_A/I_B$ is:
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Question

Two linear magnetic materials A and B are placed in the same magnetising field H. Their susceptibilities are χ_A=+4×10⁻⁴ and χ_B=−2×10⁻⁴. The ratio of their magnetisations I_A/I_B is:

G1 Physics · Accepted Answer

For a linear magnetic material, I = χₘH. Since both materials experience the same H, I_A/I_B = χ_A/χ_B = (4×10⁻⁴)/(−2×10⁻⁴) = −2. The magnitude ratio is 2, while the negative sign means that their magnetisations point in opposite directions.