SUMMARY
The magnetic flux density (B) at the position of a small coil near a large air-cored electromagnet can be calculated using the formula B = Q * 2 * u / r, where Q is the total charge (0.01 C), u is the resistance per unit length (0.10 Ω m-1), and r is the radius of the coil (10 mm). This results in a magnetic flux density of 0.2 T. Key considerations include expressing resistance in terms of the number of turns (N) and the coil's radius (r), as well as the total length of wire in the coil.
PREREQUISITES
- Understanding of magnetic flux density and its calculation
- Familiarity with electromagnetism concepts
- Knowledge of resistance per unit length and its implications
- Basic geometry related to circles and coils
NEXT STEPS
- Study the derivation of magnetic flux density formulas in electromagnetism
- Learn about the relationship between resistance, length, and cross-sectional area in conductors
- Explore the implications of coil turns on magnetic field strength
- Investigate practical applications of magnetic flux density in engineering
USEFUL FOR
Students in physics or electrical engineering, educators teaching electromagnetism, and professionals involved in designing electromagnetic devices.