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Tokamak Greenwald Density Limit (n_G) & Disruption Boundary Calculator

Easily calculate and compute tokamak greenwald density limit (n_g) & disruption boundary calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
1.19 10²⁰ m⁻³

Greenwald Limit (n_G)

Greenwald Limit (n_G)

1.19 10²⁰ m⁻³

Greenwald Density Limit10e20 M3

1.19

Greenwald Fraction Ratio

0.88

Greenwald Fraction Percent

88

Disruption Risk Status

Safe operation below Greenwald density limit

1.19 — 10²⁰ m⁻³

Calculation Breakdown

  1. Applied FormulaCalculates the empirical Greenwald density ceiling beyond which tokamaks suffer catastrophic radiative collapse and current-quench disruptions.n_G = \frac{I_p}{\pi a^2} \times 10^{20} \text{ m}^{-3}, \quad f_G = \frac{\langle n_e \rangle}{n_G}

Greenwald Density Limit Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.60.91.2Greenwald Limit (n_G)

What Is the Tokamak Greenwald Density Limit (n_G) & Disruption Boundary Calculator?

This tool computes tokamak greenwald density limit (n_g) & disruption boundary calculator with high precision arithmetic.

How Does the Tokamak Greenwald Density Limit (n_G) & Disruption Boundary Calculator Work?

Calculates the empirical Greenwald density ceiling beyond which tokamaks suffer catastrophic radiative collapse and current-quench disruptions.

Tokamak Greenwald Density Limit (n_G) & Disruption Boundary Calculator Formula & Variables

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

nG=Ipπa2×1020 m−3,fG=⟨ne⟩nGn_G = \frac{I_p}{\pi a^2} \times 10^{20} \text{ m}^{-3}, \quad f_G = \frac{\langle n_e \rangle}{n_G}

Calculates the empirical Greenwald density ceiling beyond which tokamaks suffer catastrophic radiative collapse and current-quench disruptions.

How to Use the Tokamak Greenwald Density Limit (n_G) & Disruption Boundary Calculator

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

Step-by-Step Example Calculation

Tokamak Greenwald Density Limit (n_G) & Disruption Boundary Calculator Example

Input Values:

plasmaCurrentMegaAmperes:15
minorRadiusMeters:2
actualOperatingDensity10e20M3:1.05
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required 10²⁰ m⁻³.

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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