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

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a

484

b

584

c

384

d

684

answer is D.

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Detailed Solution

B=μNi2πr; r=11+122 x 10-2 ;μ=2πrBNiμr=μμ0=2π x 11.5 x 10-2 x 2.54π x 10-7 x 3 x 103 x 0.7=684
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