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Increase in the magnetic field when a solenoid or toroid is filled with a magnetic material

This type of question, asked 3 times: 28 Jun 2022, 11 Apr 2023, 7 Apr 2025. All 3 questions below, oldest first.

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  1. Question 1

    28 Jun 2022

    102
    The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2×10−51.2 \times10^{- 5}. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

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  2. Question 2

    11 Apr 2023

    13
    The free space inside a current carrying toroid is filled with a material of susceptibility 2×10−22 \times10^{- 2}. The percentage increase in the value of magnetic field inside the toroid will be

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  3. Question 3

    7 Apr 2025

    7
    The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility χmg=1.2×10−5\chi_{mg}= 1.2 \times10^{- 5} ) is :

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