Motion in Combined Electric and Magnetic Fields

The video tutorial covers the concepts of a velocity selector and a cyclotron. It explains how a velocity selector uses perpendicular electric and magnetic fields to allow particles of a specific velocity to pass through undeflected, a method used by J. J. Thomson and in mass spectrometers. The cyclotron, invented by Lawrence and Livingston, is a device that accelerates charged particles using a magnetic field and alternating electric fields. The tutorial details the mechanics of the cyclotron, including the spiral motion of particles and the resonance condition. It concludes with the applications of cyclotrons in particle acceleration and bombardment.

How does the polarity of the plates in a cyclotron affect the motion of charged particles?

What is the significance of the resonance condition in a cyclotron?

Discuss the relationship between the kinetic energy of a particle and its radius of orbit in a cyclotron.