Cyclotron Frequency
A cyclotron is a type of particle accelerator in which charged particles accelerate outward from the center along a spiral path. The particles are held to a spiral trajectory by a static magnetic field and accelerated by a rapidly varying electric field.
The cyclotron frequency is proportional to the magnetic induction times the electric charge of the particle divided by the particle mass.
Formula
![QuantityVariable["ν", "Frequency"] == (QuantityVariable["B", "MagneticInduction"]*QuantityVariable["q", "ElectricCharge"])/(2*Pi*QuantityVariable["m", "Mass"])](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/2aa/2aa7be9c-abf4-4701-8c4c-ff47d0218deb/Webpage/FormulaImage.png "Copy to Clipboard")
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Cyclotron Frequency"]](images/2aa/2aa7be9c-abf4-4701-8c4c-ff47d0218deb-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Cyclotron Frequency"]]](images/2aa/2aa7be9c-abf4-4701-8c4c-ff47d0218deb-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[
ResourceObject[
"Cyclotron Frequency"], {QuantityVariable[
"B","MagneticInduction"] -> Quantity[1.4`, "Teslas"]}]](images/2aa/2aa7be9c-abf4-4701-8c4c-ff47d0218deb-io-3-i.en.gif){kind=small} |
| Out[3]= |  |