to both of the Example 20 When ETTB and particle velocity is

Last updated: 6/11/2023

to both of the Example 20 When ETTB and particle velocity is fields v uoi into a region of uniform electric and magnetic fields parallel to y axis i e E Solution Consider a particle of charge q and mass m released from the origin with ve B Boj The electric field accelerates the particle in y direction i e y component of velocity on increasing with acceleration Here and The magnetic field rotates the particle in a circle in xz plane perpendicular to magnetic field The resultant path of the particle is a helix with increasing pitch The axis of the plane parallel to y axis Velocity of the particle at time t would be and Here v t v i and U J U k Vy ayt constant v 0 wt Bq m 9E01 t m F v t vo cos y Ux Vo cos 0 V cos m t V Vo sin 0 vo sin a t 2 x rsin0 Similarly position vector of particle at time t can be given by r t xi yj zk qEo 2 m z r 1 cos 0 F mvo Bat i at j Bq m qEo m Bat m Bat 9 sin Jin Bat m vo sin Bqt m mvo TB 1 cos Bat Bq m k ZA 3 t 0 0 7 Vo