Title 04.Moving-Charges-and-Magnetism-f.pdf ✅

Physics Smart Booklet 1 4.MOVING CHARGES AND MAGNETISM Physics Smart Booklet Theory + NCERT MCQs + Topic Wise Practice MCQs + NEET PYQs
Physics Smart Booklet 2

Physics Smart Booklet 4 Cyclotron Cyclotron is a device used to accelerate charged particles to very large kinetic energies by applying electric and magnetic fields. (a) (b) Schematic diagram of cyclotron • Expression for kinetic energy The maximum kinetic energy, of the ion as it emerges from the cyclotron will then be 2 2 2 max max B q R (Kinetic energy) , K 2m =  2 max q K . m  • Cyclotron frequency The frequency f, of the oscillator required to keep the ion in phase is the reciprocal of the time in which the particle makes one revolution. This is called the cyclotron frequency given by Bq f 2 m =  It can be shown that kinetic energy = 2m 2 f 2R 2 Helical path of a charged particle moving in a magnetic field (0 <  <90°) • If a charged particle moves in a uniform magnetic field with its velocity at some arbitrary angle  (0 <  < 90) with respect to a magnetic field B  , the path is a helix. • The axis of the helix is along the direction of B. • The perpendicular component of velocity (v sin ) determines the radius (r) of the helix. Then, qB mv sin r  = • The pitch of the helix p (vcos )T, =  where T is the period of the circular motion and is given by 2 m T qB  = The Pitch of the helical path (p) is the distance travelled by the particle along the direction of the field in one period of revolution of the circular motion.  2 m v cos p qB   =