Equations
Radius of a charge's circular path in a magnetic field
Electricity and magnetism · id cyclotron_radius
r = \frac{m v}{q B}
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
r | path radius | m | Radius of the circular path | 1e-09 to 1e+07 |
m | particle mass | kg | Mass of the particle | 1e-31 to 1e-20 |
v | speed | m/s | Speed of the particle | 1 to 3e+07 |
q | charge | C | Magnitude of the charge | 1e-20 to 1e-15 |
B | magnetic field | T | Field strength | 1e-09 to 50 |
Assumptions
- Velocity perpendicular to a uniform field
Valid when
- Speeds far below the speed of light
Found by
Questions with these words retrieve this equation: cyclotron, circular path, mass spectrometer, magnetic field, radius, particle.
Source
OpenStax University Physics Volume 2, Chapter 11 (reference; entry written by the project). License: MIT. Entry confidence: 0.99.