S = l / (μ₀ * μr * A)
The magnetic flux is given by:
μr = l / (μ₀ * A * S) = 1 / (4π x 10^(-7) x 0.05 x 10,000) = 1591.5
S = 0.5 / (4π x 10^(-7) x 1000 x 0.01) = 3980 A/Wb
S = S_core + S_air
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