Practice question
Question
A solenoid produces \( B = 1.5 \, \text{T} \) with a core of \( \mu_r = 500 \) and \( n = 2000 \,
\text{m}^{-1} \). What is the current \( I \)? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1}
\)).
Explanation
**Geomagnetic field** arises from outer core dynamo, field lines emerge near geographic south pole. Understanding D and I allows conversion between geographic and magnetic coordinates, with B_H = B cos(inclination) used in experiments with tangent galvanometer. B = μ₀ μ_r n I , so I = (B/μ₀ μ_r n) . Given: B = 1.5 T , μ_r = 500 , n = 2000 m⁻¹ , μ₀ = 4π × 10⁻⁷ . I = (1.5/4π × 10⁻⁷ × 500 × 2000) = (1.5/1.256 × 10⁰) ≈ 1.194 A ≈ 1.2 A . Substituting values gives 1.2 A, which matches expected magnitude for this magnetic configuration, confirming
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