An iron ring of diameter 15 cm is uniformly wound with 450 turns of wire. A current of 2 A when passed through the coil establishes a flux density of 1.2 Wb/m square in the iron ring. Determine the value of relative permeability of iron.
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Explanation:
Solution:
n = N/2πr = 3000 / (2π x 0.15)
∴ B = μr μ0 n i = 1000 x 4π x 10-7 x (3000 / (2π x 0.15) x 2
∴ B = 1000 x 2 x 10-7 x (3000 /0.15) x 2 = 1000 x 2 x 10-7 x (20000) x 2
∴ B = 8 T
Ans: Magnetic field = 8 T
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