Plasma Electron Relaxation Time Calculator

Plasma Electron Relaxation Time Calculator

Calculate the electron relaxation time using: $$ \tau_e = \frac{3 \sqrt{m_e}\,(k_B\, T_e)^{3/2}}{4 \sqrt{2}\,\pi\, n_e\, e^4 \ln\Lambda} $$

* Ensure all inputs are in SI units: \(T_e\) in K, \(n_e\) in m\(^{-3}\), and \(\ln\Lambda\) as a dimensionless number.

Step 1: Enter Plasma Parameters

e.g., 10,000 K

e.g., 1×10¹⁸ m⁻³

e.g., 10 (dimensionless)

Spitzer Formula for Electron Relaxation Time: $$ \tau_e = \frac{3 \sqrt{m_e}\,(k_B\, T_e)^{3/2}}{4 \sqrt{2}\,\pi\, n_e\, e^4 \ln\Lambda} $$
Constants: \(m_e = 9.10938356 \times 10^{-31}\) kg, \(k_B = 1.380649 \times 10^{-23}\) J/K, \(e = 1.602176634 \times 10^{-19}\) C.