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Runaway Electron Critical Electric Field (Dreicer Field) Calculator

Easily calculate and compute runaway electron critical electric field (dreicer field) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.04 V/m

Relativistic Critical Electric Field (E_crit)

Relativistic Critical Electric Field (E_crit)

0.04 V/m

Thermal Dreicer Field V Per M

8.3

Density Required To Suppress10 V Per M

122.6

0.04 — V/m

Calculation Breakdown

  1. Applied FormulaCalculates the Conner-Hastie relativistic critical electric field Ec and Dreicer field ED above which collisional drag fails to stop electrons, generating relativistic runaway beams.E_c = \frac{n_e e^3 \ln \Lambda}{4\pi \varepsilon_0^2 m_e c^2}, \quad E_D = \frac{n_e e^3 \ln \Lambda}{4\pi \varepsilon_0^2 k_B T_e}

Dreicer Critical Electric Field Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Relativistic Critical Electric Field (E_crit)

What Is the Runaway Electron Critical Electric Field (Dreicer Field) Calculator?

This tool computes runaway electron critical electric field (dreicer field) calculator with high precision arithmetic.

How Does the Runaway Electron Critical Electric Field (Dreicer Field) Calculator Work?

Calculates the Conner-Hastie relativistic critical electric field Ec and Dreicer field ED above which collisional drag fails to stop electrons, generating relativistic runaway beams.

Runaway Electron Critical Electric Field (Dreicer Field) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Ec=nee3ln⁡Λ4πε02mec2,ED=nee3ln⁡Λ4πε02kBTeE_c = \frac{n_e e^3 \ln \Lambda}{4\pi \varepsilon_0^2 m_e c^2}, \quad E_D = \frac{n_e e^3 \ln \Lambda}{4\pi \varepsilon_0^2 k_B T_e}

Calculates the Conner-Hastie relativistic critical electric field Ec and Dreicer field ED above which collisional drag fails to stop electrons, generating relativistic runaway beams.

How to Use the Runaway Electron Critical Electric Field (Dreicer Field) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Runaway Electron Critical Electric Field (Dreicer Field) Calculator Example

Input Values:

electronDensityM3:50000000000000000000
coulombLogarithm:16
electronTempEv:2500
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required V/m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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