# Cyclotron Frequency Calculator

To calculate the frequency of a cyclotron, use this simple Cyclotron Frequency Calculator. To obtain the cyclotron frequency as an output, simply enter the charge of the particle, magnetic field intensity, and mass of the particle in the relevant input fields and press the calculate button.

### What is Cyclotron Frequency?

A particle accelerator is circulated by a cyclotron. A charged particle is accelerated along a path in a cyclotron under the influence of a static magnetic field and an alternating electric field. We need to know the rate at which the particles turn on the electric field to accelerate them. The cyclotron frequency refers to this rate.

### Cyclotron Frequency Formula

The cyclotron frequency equation is **f = qB/(2m)**

- Where, f = cyclotron frequency
- q = charge of the particle
- m = mass of the particle
- B = strength of the magnetic field

### Cyclotrons Velocity

It is the velocity of a particle travelling in a cyclotron circle with cyclotron frequency. The cyclotron velocity can be calculated using advanced mode. It's the cyclotron frequency velocity of a particle travelling in a circle. You must provide the circular motion's radius in order to do so. You can quickly reach the speed of light if you choose a radius that is too large! This does not imply that special relativity has failed; rather, it indicates that the relativistic effects must be taken into account.

It turns out that the closer a particle's velocity approaches that of light, the more energy it takes to accelerate it faster. This impact is not taken into consideration by the cyclotron frequency equation, which is why it can sometimes produce incorrect results.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### How to Calculate Cyclotron Frequency?

Determine the cyclotron frequency of a charged particle by following these simple steps. To quickly obtain the result, follow these basic guidelines.

- Step 1: Calculate the magnetic field's particle charge, mass, and strength.
- Step 2: The magnetic field multiplies the particle's charge.
- Step 3: To calculate the cyclotron frequency, divide the product by the particle mass.

### How to Use the Cyclotron Frequency Calculator?

The following is the procedure how to use the Cyclotron Frequency calculator

- Step 1: Input the unknown's charge, magnetic field strength, mass and x in the appropriate input fields.
- To acquire the result, click the "Calculate the unknown" button.
- Step 3: Finally, in the output field, the Cyclotron Frequency of an object will be displayed.

### Examples on Cyclotron Frequency

**Question 1:** A particle with a charge of 20 e and a mass of 15 u is travelling in a circle with a static magnetic field strength of 5 T. What is the cyclotron frequency of the accelerating particle?

**Solution:**

Given:

Charge of the particle q = 20 e

Mass of the particle m = 15 u

Magnetic field strength B = 5 T

Cyclotron frequency f = qB/(2m)

f = (20 x 5)/(2 x 15)

= 3.33

Hence, the cyclotron frequency is 3.33 MHz.

**Question 2:** With a static magnetic field intensity of 8 T and a mass of 20 u, a particle with a charge of 35 e is travelling in a circle. Determine the accelerating particle's cyclotron frequency.

**Solution:**

Given:

Charge of the particle q = 35 e

Mass of the particle m = 20 u

Magnetic field strength B = 8 T

Cyclotron frequency f = qB/(2m)

f = (35 x 8)/(2 x 20)

= 7

Hence, the cyclotron frequency is 7 MHz.

### FAQs on Cyclotrons Frequency Calculator

**1. What is the total number of cyclotrons in the world?**

There are more than 1500 cyclotron facilities across the world, and the IAEA just updated its interactive map and database, which now includes 1300 of them from 95 nations.

**2. What is the function of a cyclotron?**

For many years, cyclotrons have been utilised in nuclear physics investigations. It's a type of particle treatment used to treat cancer. Cyclotron ion beams can be utilised to penetrate the body and eliminate tumours, and they are used in research.

**3. What is a cyclotron, and how does it work?**

A cyclotron is a device that accelerates charged particles or ions to extremely high energy. In a cyclotron, electric and magnetic fields are utilised to boost the energy of charged particles.

**4. A cyclotron cannot accelerate which particle?**

The electron is the only particle that cannot be accelerated by a cyclotron.