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Percentage increase in the field of a toroid when its core is filled with a material of susceptibility chi

The same question, asked 2 times: 21 Apr 2025 S2*, 18 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    21 Apr 2025 S2

    7
    The space within the current carrying toroid is filled with aluminum of susceptibility ' χ\chi '. The percentage increase in the magnetic field ' BB ' will be

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  2. Question 2

    18 Apr 2026 S1

    132
    The region inside a current carrying toroid is filled with a material (Niobium) having susceptibility χ=2.6×10−5\chi = 2.6 \times 10^{-5}. The percentage increase in the magnetic field in the presence of Niobium over that without it, is

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