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QPages 286-287: Q5: HC Verma: Concepts of Physics - Volume 2 Magnetic Properties of Matter Pages 286-287: Q5 Solution: The susceptibility of annealed iron at saturation is 5500. Find …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently forget that relative permeability is μ_r = 1+χ, and mistakenly compute μ = μ_0 χ, which underestimates the permeability (especially for large χ). Always add the unity term before multiplying by μ_0 and use μ_0 = 4π×10⁻⁷ H·m⁻¹.

The susceptibility of annealed iron at saturation is 5500. Find the permeability of annealed iron at saturation.

Step-by-Step Verified Solution

**Answer:** μ≈6.9×10−3 T m A−1\mu \approx 6.9 \times 10^{-3} \text{ T m A}^{-1}. **Step-by-Step Explanation:** Given: χ=5500\chi = 5500.
μr=1+χ=1+5500=5501\mu_r = 1 + \chi = 1 + 5500 = 5501
μ=μ0μr=4π×10−7×5501≈6.9×10−3 T m A−1\mu = \mu_0 \mu_r = 4\pi \times 10^{-7} \times 5501 \approx 6.9 \times 10^{-3} \text{ T m A}^{-1}

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