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Calculate the permeability of a material if its magnetic susceptibility is χₘ = 599, and use the relations μᵣ = 1 + χₘ and μ = μᵣμ₀.

1. The magnetic susceptibility of the material is χₘ = 599.
2. The relative permeability is given by μᵣ = 1 + χₘ = 600.
3. The permeability is calculated as μ = μᵣμ₀ = 600 × 4π × 10⁻⁷ = 2400π × 10⁻⁷.
4. The permeability of the material is μ = 2.4π × 10⁻⁴ T·m·A⁻¹.

Correct answer: The permeability of the material is μ = 2.4π × 10⁻⁴ T·m·A⁻¹.

Solution

The permeability of the material is calculated as μ = μᵣμ₀, and substituting the given values leads to μ = 2.4π × 10⁻⁴ T m A⁻¹, which matches option D.

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