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# Cyclotron Radius Calculator | Tool for Particle Physics

Please fill in all the fields and make sure all values are non-zero.

Welcome to the fascinating world of particle physics, where we explore the cyclotron radius calculator—an indispensable tool in this field. In this article, we’ll delve into the cyclotron’s core concept, its radius, and the significance of its calculation.

The cyclotron radius, as the name suggests, is the radius of the path that a charged particle follows when moving in a magnetic field. It is a fundamental concept in the field of particle physics and plays a crucial role in the operation of cyclotrons—devices used to accelerate charged particles to high energies.

## Understanding the Cyclotron Radius Formula

The formula used to calculate the cyclotron radius is: R = mv/(Be). Each variable in this equation represents a specific physical quantity.

• R represents the Cyclotron Radius, measured in meters (m).
• m stands for the mass of the particle, measured in kilograms (kg).
• v is the velocity of the particle, measured in meters per second (m/s).
• B denotes the magnetic induction, measured in Tesla (T).
• e represents the charge of the particle, measured in Coulombs (C).

It’s worth noting that each of these variables plays a crucial role in determining the cyclotron radius, highlighting the importance of precise measurement and calculation.

## Step-by-step Guide to Using the Cyclotron Radius Calculator

Using the Cyclotron Radius Calculator is straightforward. Let’s illustrate this with an example.

Suppose we have a particle with a mass of 23 kg, moving with a velocity of 50 m/s in a magnetic field of induction 3 T. The charge of the particle is 5 C. Plugging these values into the formula, we get:

R = mv/(Be) = 2350/(35) = 76.67 m

This means the radius of the path followed by the particle in the magnetic field is approximately 76.67 meters.

## Applications of the Cyclotron Radius Calculator

The Cyclotron Radius Calculator finds its utility in numerous real-world applications, particularly in particle physics and related fields. Accurate calculations are critical in designing and operating cyclotrons for various research and practical applications, including particle therapy for cancer treatment, particle acceleration for research in particle physics, and producing radionuclides for medical imaging.