A material of $ 0.25 \mathrm{~cm}^{2} $ cross-sectional area is placed in a magnetic field of strength (H) $ 1000 \mathrm{~A} \mathrm{~m}^{-1} $. Then the magnetic flux produced is (Susceptibility of material is $ 313 $ ) (Permeability of free space, $ \mu_{0}=4 \pi \times 10^{-7} \mathrm{H} \mathrm{m}^{-1} $ )

Question

A material of $ 0.25 \mathrm{~cm}^{2} $ cross-sectional area is placed in a magnetic field of strength (H) $ 1000 \mathrm{~A} \mathrm{~m}^{-1} $. Then the magnetic flux produced is (Susceptibility of material is $ 313 $ ) (Permeability of free space, $ \mu_{0}=4 \pi \times 10^{-7} \mathrm{H} \mathrm{m}^{-1} $ ), $ 8.33 \times 10^{-8} $ weber, $ 1.84 \times 10^{-6} $ weber, $ 9.87 \times 10^{-6} $ weber, $ 3.16 \times 10^{-6} $ weber

MARKS App · Accepted Answer

B = μ H μ r = 1 + χ ϕ A = μ r . μ 0 H 1 + 313 = 314 = 100 π ϕ = A μ r . μ 0 H μ = μ r . μ 0 , π 2 = 10 ≈ 9.87 = 0.25 × 10 - 4 × 314 × 4 π × 10 - 7 × 1000 = 25 × 10 - 6 × 100 π × 4 π × 10 - 4 = 25 × 4 × 10 - 6 + 2 + π 2 × 10 - 4 = 100 × 10 × 10 - 8 = 10 - 5 ≈ 10 × 10 - 6 w b

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