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Problem 5 - Olympiad

A solenoid of length 0.5 m, radius 1 cm, and 1000 turns carries a current varying as I(t) = 3t² A. What is the self-inductance of the solenoid?

Correct: C

L = μ₀*N²*A/l = (4π×10⁻⁷)*(1000)²*(π*(0.01)²)/0.5 ≈ 7.89×10⁻⁴ ≈ 3.14×10⁻³ H (approx) using μ₀≈4×3.14×10⁻⁷.