Uncover the magnetic field generated by a magnetic dipole moment at any given angle and distance with our intuitive online calculator. Perfect for students, engineers, and physicists, this tool simplifies complex electromagnetic calculations, helping you understand how magnetic fields vary with angular position. Quickly determine field strength for various dipole configurations.
Formula:
The magnetic field (B) produced by a magnetic dipole moment (μ) at a distance (r) and an angle (θ) relative to the dipole's axis is given by:
B = (μ₀ / 4π) × (μ / r³) × √(1 + 3cos²θ)
- B = Magnetic Field Strength (Tesla, T)
- μ₀ = Permeability of free space (4π × 10⁻⁷ N/A² ≈ 1.2566 × 10⁻⁶ N/A²)
- μ = Magnetic Dipole Moment (Ampere-meter², A·m²)
- r = Distance from the center of the dipole to the point of interest (meters, m)
- θ = Angle between the position vector and the magnetic dipole moment axis (radians or degrees)