Path Length of Particle in Cycloidal Plane Calculator

Calculate Path Length of Particle in Cycloidal Plane





Formula

The formula to calculate Particle Cycloidal Path (R) is:

\[ R = \frac{Vef}{\omega e} \]

Definition

Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields. The Velocity of electron in force fields is the speed at which an electron revolves in an electric and magnetic field. The Angular Speed of Electron is the rate at which an electron is rotating around a center in a given time period.

Example Calculation

Let's assume the following values:

Using the formula:

\[ R = \frac{160.869}{40000000000} \approx 4.021725E-09 \]

The Particle Cycloidal Path is approximately 4.021725E-09 Meter.

Conversion Chart

Velocity of Electron in Force Fields (Meter per Second) Angular Speed of Electron (Radian per Second) Particle Cycloidal Path (Meter)
160 40000000000 0.000000004000000
160.1 40000000000 0.000000004002500
160.2 40000000000 0.000000004005000
160.3 40000000000 0.000000004007500
160.4 40000000000 0.000000004010000
160.5 40000000000 0.000000004012500
160.6 40000000000 0.000000004015000
160.7 40000000000 0.000000004017500
160.8 40000000000 0.000000004020000
160.9 40000000000 0.000000004022500
161 40000000000 0.000000004025000