Enter the mass (kg), the velocity (m/s), and the magnetic induction (T) into the Cyclotron Radius Calculator. The calculator will evaluate the Cyclotron Radius. 

Cyclotron Radius Formula

The following formula is used to calculate the Cyclotron Radius. 

R = m*v/(B*e)


  • R is the Cyclotron Radius (m)
  • m is the mass (kg) 
  • v is the velocity (m/s) 
  • B is the magnetic induction (T) 
  • e is the charge (C)

To calculate the cyclotron radius, divide the product of the mass and velocity by the product of the charge and magnetic induction.

How to Calculate Cyclotron Radius?

The following steps outline how to calculate the Cyclotron Radius.

  1. First, determine the mass (kg).
  2. Next, determine the velocity (m/s). 
  3. Next, determine the magnetic induction (T). 
  4. Next, determine the charge (C).
  5. Next, gather the formula from above = R = m*v/(B*e).
  6. Finally, calculate the Cyclotron Radius.
  7. After inserting the variables and calculating the result, check your answer with the calculator above. 

Example Problem:

Use the following variables as an example problem to test your knowledge.

mass (kg) = 5

velocity (m/s) = 6

magnetic induction (T) = 8

charge (C) = 1.25

R = m*v/(B*e) =  ?