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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Magnetic Properties of Matter

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Magnetic Properties of Matter

At saturation, the susceptibility of annealed iron is 5500 ....

At saturation, the susceptibility of annealed iron is 55005500. Determine the permeability of annealed iron at saturation.

Options

  1. A5.5×10−3 T m A−15.5 \times 10^{-3} \text{ T m A}^{-1}
  2. B1.4×10−3 T m A−11.4 \times 10^{-3} \text{ T m A}^{-1}
  3. C6.9×10−3 T m A−16.9 \times 10^{-3} \text{ T m A}^{-1}
  4. D6.9×10−5 T m A−16.9 \times 10^{-5} \text{ T m A}^{-1}

Correct answer

C. 6.9×10−3 T m A−16.9 \times 10^{-3} \text{ T m A}^{-1}

Step-by-step solution

Given magnetic susceptibility, χ=5500\chi = 5500

The relative permeability is given by:

μr=1+χ\mu_r = 1 + \chi

μr=1+5500=5501\mu_r = 1 + 5500 = 5501

The permeability of the material is:

μ=μrμ0\mu = \mu_r \mu_0

Substituting the values:

μ=5501×4π×10−7\mu = 5501 \times 4\pi \times 10^{-7}

μ=5501×4×3.14×10−7\mu = 5501 \times 4 \times 3.14 \times 10^{-7}

μ≈6.9×10−3 T m A−1\mu \approx 6.9 \times 10^{-3} \text{ T m A}^{-1}
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