Gyro Radius Field Cross-Scan - Plasma Physics: Debye Shielding, Gyromotion, and Collective Oscillations Step by Step

Gyro radius, force, and turn rate are scanned across magnetic field. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Gyro radius closes the same force balance

The checked source has field three tesla. With the fixed charge, speed, and mass, radius is four meters and force is eighteen newtons.

r=\frac{12}{3}=4\ \text{m},\quad qvB=18\ \text{N}

A stronger field tightens radius and raises turn rate

Charge, speed, and mass stay fixed. Field increases across the rows, so radius falls while force rises.

\begin{array}{c|c|c|c}B&r&qvB&\text{turn rate}\\2&6&12&\frac{1}{2}\\3&4&18&\frac{3}{4}\\4&3&24&1\\\end{array}