Calculating the Cross-Sectional Area of a Solenoid - советы от нейросети

В соленоиде, индуктивность которого 0,8 мГн и индукция 4 мТл, сила тока равна 0,6 А. Определить площадь сечения соленоида, если он содержит 200 витков.

To solve this problem, we can use the formula for inductance, L = μ₀n²A/l, where μ₀ is the permeability of free space, n is the number of turns, A is the cross-sectional area, and l is the length of the solenoid. We know that L = 0.8 mH (0.8 x 10⁻³ H), B = 4 mT (4 x 10⁻³ T), and I = 0.6 A. To find the cross-sectional area, we rearrange the formula as A = Ll/(μ₀n²B). Plugging in the values, we get A = (0.8 x 10⁻³ H) x (200 turns) x (0.6 A)/[(4π x 10⁻⁷ Tm/A) x (200² turns²) x (4 x 10⁻³ T)], which simplifies to A = 3.82 x 10⁻⁵ m². Therefore, the cross-sectional area of the solenoid is approximately 3.82 x 10⁻⁵ m².