SUMMARY
The discussion revolves around calculating the length of an iron-free cylindrical coil with 9400 turns, a thickness of 0.6 cm, and an inductance of 68 mH. The relevant formula used is L = N² * μ₀ * μ_r * A / l, where μ₀ is the magnetic field constant (4π x 10⁻⁷ Wb/Am). The solution requires determining the cross-sectional area (A) of the wire and the relative permeability (μ_r), which is not provided but is implied to be favorable for calculations. The calculated length options presented are 63mm, 54mm, 46mm, and 36mm.
PREREQUISITES
- Understanding of inductance and its formula.
- Knowledge of magnetic field constants, specifically μ₀.
- Ability to calculate the cross-sectional area of a circular wire.
- Familiarity with relative permeability (μ_r) in electromagnetism.
NEXT STEPS
- Research how to calculate the cross-sectional area of a circular wire.
- Learn about relative permeability (μ_r) and its significance in coil design.
- Study the implications of using different core materials in inductance calculations.
- Explore the relationship between turns, inductance, and coil length in electromagnetic theory.
USEFUL FOR
Students studying electromagnetism, electrical engineers designing coils, and anyone involved in inductance calculations for practical applications.