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Magnetization of a solenoid's core from turns per metre, current and relative permeability

The same question, asked 2 times: 16 May 2023 S2*, 10 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S2

    23
    A solenoid having 400 turns per metre has a core of a material with relative permeability 400. When a current of 0.5 A is passed through it, the magnetization of the core material in A m−1^{-1} is nearly

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  2. Question 2

    10 May 2024 S2

    4
    A solenoid of 500 turns/m500\,\text{turns/m} is carrying a current of 3 A3\,A. Its core is made of iron which has relative permeability 5000. The magnitude of magnetization is

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