Unravel the complexities of relativistic electromagnetism with our Lienard-Wiechert Electric Potential Calculator. Accurately compute the electric potential generated by a moving point charge, considering the crucial concept of retarded time. Ideal for students and professionals in physics and engineering seeking to understand the Lienard-Wiechert potentials.
Formula:
The Lienard-Wiechert electric potential (V) at an observation point and time due to a moving charge (q) is given by:
V = (1 / 4πε₀) × [ q / (Rret × (1 - (vs × cos(θ)) / c)) ]
- V: Electric Potential (Volts)
- q: Charge of the particle (Coulombs)
- ε₀: Permittivity of free space (8.854 × 10-12 F/m)
- Rret: Retarded distance, the distance from the observation point to the charge's position at the retarded time (meters)
- vs: Velocity of the source charge at the retarded time (m/s)
- θ: Angle between the velocity vector (vs) and the vector from the retarded position to the observation point (degrees)
- c: Speed of light in vacuum (299,792,458 m/s)