Practice question

**Magnetic field inside solenoid** with core B = μ₀ μ_r n I is uniform, direction along axis given by right-hand grip rule. For n = 2000 m⁻¹, μ_r = 400, B = 1.2 T, I = 1.2/(4π×10⁻⁷×400×2000) ≈ 1.19 A, showing modest current produces tesla-level field with high μ_r core. B = μ₀ μ_r n I . Given: n = 800 m⁻¹ , I = 1.5 A , μ_r = 300 , μ₀ = 4π × 10⁻⁷ . B = 4π × 10⁻⁷ × 300 × 800 × 1.5 = 0.452 T ≈ 0.45 T . Substituting values gives 0.45 T, which matches expected magnitude