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- PHY102 Physics II © Dr.Cem Özdoğan
- 28-6 A Circulating Charged Particle
- A charged particle with mass m and charge magnitude |q| moving with velocity perpendicular to a uniform magnetic field will travel in a circle.
- The magnetic force continuously deflects the particle, and since B and v are always perpendicular to each other, this deflection causes the particle to follow a circular path.
- Applying Newton’s 2nd law to the circular motion yields
- from which we find the radius r of the circle to be
- The frequency of revolution f, the angular frequency, and the period of the motion T are given by
- Fig. 28-10 Electrons circulating in a chamber containing gas at low pressure (their path is the glowing circle). A uniform magnetic field, B, pointing directly out of the plane of the page, fills the chamber. Note the radially directed magnetic force FB ; for circular motion to occur, FB must point toward the center of the circle, (Courtesy John Le P.Webb, Sussex University, England)