Comprimento de Debye
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Debye Length (λD) is a fundamental parameter in plasma physics, representing the average distance over which charged particles interact electrostatically. It quantifies the screening effect in a neutral plasma, where opposite charges neutralize electric fields. The formula λD = √(ε₀·kT/(n·e²)) calculates this value based on plasma density (n), temperature (T), vacuum permittivity (ε₀), and elementary charge (e).
This calculator is crucial for plasma diagnostics, conductor material analysis, and nuclear fusion simulations. To use it, input plasma density (n), temperature (T), and confirm input units. The result shows the spatial scale where electrostatic interactions dominate, essential for projects like plasma control in reactors or electromagnetic wave studies in space environments.
Common precautions include: ensuring density and temperature are in compatible units (n in m⁻³, T in Kelvin), verifying thermal equilibrium in the plasma, and noting that very high λD values might indicate non-ideal plasma conditions. In strongly magnetized or anomalous density environments, additional factors should be considered for accurate calculations.
Frequently asked questions
What does the Debye Length represent?
It represents the average distance over which a charged particle's electric field is neutralized by other particles in a plasma.
How to input plasma density correctly?
Enter the value in particles per cubic meter (m⁻³), ensuring the plasma is neutral and in thermal equilibrium.
Why is temperature a critical factor in the calculation?
Temperature affects the plasma's thermal energy (kT), directly influencing particle mobility and electrostatic screening effectiveness.
Which units should I use for accurate results?
Use Kelvin for temperature, coulombs for charge (e), and farads per meter (F/m) for vacuum permittivity (ε₀).