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Magnetic moment of an air-core solenoid from the flux inside it

The same question, asked 2 times: 11 May 2023 S1*, 13 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    11 May 2023 S1

    17
    The magnetic flux near the axis and inside the air core solenoid of length 80 cm carrying current 'I' is 1.57×10−61.57 \times 10^{-6} Wb. Its magnetic moment will be [cross-sectional area of a solenoid is very small as compared to its length, μ0=4π×10−7\mu_0 = 4\pi \times 10^{-7} SI unit] (π=3.14\pi = 3.14)

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  2. Question 2

    13 Apr 2026 S1

    132
    The magnetic flux near the axis and inside the air core solenoid of length 60 cm carrying current I is π2×10−6\dfrac{\pi}{2} \times 10^{-6} Wb. Its magnetic moment will be (cross-sectional area is very small as compared to length of solenoid, μ0\mu_0 = Permeability of free space = 4π×10−74\pi \times 10^{-7} SI unit)

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