The core of a toroid having 3000 turns has inner and outer radii of 11cm and 12cm respectively. The magnetic flux density in the core for a current of 0.70A is 2.5T. What is the relative permeability of the core?

The core of a toroid having 3000 turns has inner and outer radii of 11cm and 12cm respectively. The magnetic flux density in the core for a current of 0.70A is 2.5T. What is the relative permeability of the core?

  1. A

    484

  2. B

    584

  3. C

    384

  4. D

    684

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    Solution:

    B=μNi2πr    r=11+122×102;μ=2πrBNiμr=μμ0=2π×11.5×102×2.54π×107×3×103×0.7=684

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