Lienard-Wiechert Magnetic Vector Potential Calculator

Calculate Lienard-Wiechert Magnetic Vector Potential

Enter the charge of the particle (e.g., elementary charge).
Must be less than the speed of light (3e8 m/s).
Distance from the retarded position of charge to observation point.
Angle between velocity vector (v) and position vector (R).

Discover the Lienard-Wiechert Magnetic Vector Potential, a fundamental concept in electromagnetism describing fields generated by moving point charges. Use our calculator to determine the magnetic vector potential at an observation point, accounting for relativistic effects and the retarded time.

Formula:

The magnitude of the Magnetic Vector Potential (A) in the direction of the charge's velocity is given by the simplified formula:

A = (μ0 × q × v) / (4π × R × (1 - (v/c) × cos(θ)))

  • A = Magnetic Vector Potential (Tesla-meter, T·m)
  • μ0 = Permeability of free space (4π × 10-7 N/A2)
  • q = Charge of the particle (Coulombs, C)
  • v = Speed of the charge at the retarded time (meters/second, m/s)
  • c = Speed of light in vacuum (3 × 108 m/s)
  • R = Distance from the retarded position of the charge to the observation point (meters, m)
  • θ = Angle between the velocity vector (v) and the vector from the retarded charge position to the observation point (R) (degrees)

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