PHYS 1B Lecture Notes - Lecture 17: Circular Motion, Particle Velocity, Angular Velocity
Document Summary
If a charged particle is moving in a field b = constant, with velocity perpendicular to the field. Particle moves in a circle because force is always perpendicular to the velocity. Uniform circular motion so fb = qvb = mv2/r. Magnetic force fb acting on the charge is always directed toward the center of r = mv/qb the circle: angular velocity of particle. W = v/r = qb/m: period of the motion: time to go around circle once. T = 2pir/v = 2pi/w = 2pim/qb. In many applications, a charged particle moves in both magnetic and electric fields (originating from magnets and or currents and charges: total force is the sum of the 2: f = qe + qv x b. Ex: a mg+2 ion moving at 10 m/s in the i direction (+x) is subject to an electric field of. 3n/c in the j direction (+y) and a magnetic field of 0. 3 t in the k direction (-z).
