The magnetic field in a cyclotron is 0.360 T. The dees have radius 82.0 cm . What maximum speed

step 1 In this question, we are given a uniform magnetic field from a cyclotron that has a magnitude of

The magnetic field in a cyclotron is 0.360 T. The dees have...

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Key Concepts

Lorentz Force

This force acts on a charged particle moving in a magnetic field, causing it to experience a force perpendicular to both its velocity and the magnetic field. The Lorentz force is given by F = qvB when the velocity is perpendicular to the magnetic field, and it is essential in determining the curved path of the particle.

Centripetal Force

In uniform circular motion, the centripetal force is the net force required to keep a particle moving in a circle. In the context of a cyclotron, the Lorentz force serves as the centripetal force that maintains the circular trajectory of the charged particle, allowing the relationship qvB = mv²/r to be established.

Cyclotron Principle

A cyclotron is a type of particle accelerator where charged particles are accelerated along a spiral path using an alternating electric field while being confined by a constant magnetic field. The interplay of the magnetic and electric fields, along with parameters like the particle's charge, mass, and the dees' radius, determines the maximum speed and energy the particles can achieve.

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