Skip to main content
CalcPro

Tokamak Safety Factor (q_95) & Kruskal-Shafranov Limit Calculator

Easily calculate and compute tokamak safety factor (q_95) & kruskal-shafranov limit calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
2.22 ratio

Edge Safety Factor (q_95)

Edge Safety Factor (q_95)

2.22 ratio

Plasma Inverse Aspect Ratio

0.323

Kink Stability Assessment

MARGINAL STABILITY (Strict Real-Time Feedback Required)

2.22 — ratio

Calculation Breakdown

  1. Applied FormulaCalculates the magnetic safety factor q at 95% poloidal flux to prevent destructive kink instabilities and major disruptions per the Kruskal-Shafranov limit.q_{95} \approx \frac{5 a^2 B_t}{R_0 I_p} \left( \frac{1 + \kappa_{95}^2 (1 + 2\delta_{95}^2)}{2} \right), \quad q > 1 \text{ (Kruskal-Shafranov)}

Tokamak Safety Factor q95 Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.61.11.72.2Edge Safety Factor (q_95)

What Is the Tokamak Safety Factor (q_95) & Kruskal-Shafranov Limit Calculator?

This tool computes tokamak safety factor (q_95) & kruskal-shafranov limit calculator with high precision arithmetic.

How Does the Tokamak Safety Factor (q_95) & Kruskal-Shafranov Limit Calculator Work?

Calculates the magnetic safety factor q at 95% poloidal flux to prevent destructive kink instabilities and major disruptions per the Kruskal-Shafranov limit.

Tokamak Safety Factor (q_95) & Kruskal-Shafranov Limit Calculator Formula & Variables

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

q95≈5a2BtR0Ip(1+κ952(1+2δ952)2),q>1 (Kruskal-Shafranov)q_{95} \approx \frac{5 a^2 B_t}{R_0 I_p} \left( \frac{1 + \kappa_{95}^2 (1 + 2\delta_{95}^2)}{2} \right), \quad q > 1 \text{ (Kruskal-Shafranov)}

Calculates the magnetic safety factor q at 95% poloidal flux to prevent destructive kink instabilities and major disruptions per the Kruskal-Shafranov limit.

How to Use the Tokamak Safety Factor (q_95) & Kruskal-Shafranov Limit Calculator

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

Step-by-Step Example Calculation

Tokamak Safety Factor (q_95) & Kruskal-Shafranov Limit Calculator Example

Input Values:

majorRadiusMeters:6.2
minorRadiusMeters:2
toroidalMagneticFieldTesla:5.3
plasmaCurrentMegaAmps:15
plasmaElongationKappa:1.7
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required ratio.

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.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.