Fusion Engineering

Calculate key plasma parameters and reactor efficiency—density, temperature, confinement time, and fusion gain. Essential for designing tokamaks, stellarators, and other fusion devices.

9Formulas

All levels Difficulty

Updated Jul 2026

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Fundamental

Fusion Reactor Efficiency

η_f = (P_electric) / (P_fusion)

Fundamental

Plasma Confinement Time

τ_E = (energy stored) / (energy loss rate)

Fundamental

Fusion Power Density

S = n² ⟨σv⟩ E / 4

Fundamental

Triple Product Formula

n T τ_E

Fundamental

Fusion Gain Factor (Q)

Q = P_fusion / P_input

Fundamental

Plasma Pressure

p = n k T

Fundamental

Plasma Beta

β = p / (B² / (2 μ₀))

Fundamental

Fusion Reaction Energy

E = Δm c²

Fundamental

Lawson Criterion

n τ > 10²⁰ m⁻³ s (for D-T)