Describe the motion of a charged particle in a magnetic field when it enters the field (a) perpendicular to the - Physics - Moving Charges And Magnetism

Question

Describe the motion of a charged particle in a magnetic field when
it enters the field (a) perpendicular to the field lines (b)
obliquely making and angle Θ with the field lines ​

Vijay Shankar Yadav · Accepted Answer

Dear Student,
when ever a charge particle with velocity v enters in a magnetic fieldforce on particle in perpendicular direction will applied 
it means particle will move in circular pathif radius of circular path is r then centripital force will mv2rand it will be given by lorentz force qv×B as angle between v and B is 90 hence it is qvBsoqvB=mv2rr=mvqBbut if angle between v and B is θ then perpendicular component is qvBsin(θ)hence r=mvsin(θ)qBand component of velocity along B will drag charge in the direction of Band it describe helical path
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Describe the motion of a charged particle in a magnetic field when it enters the field (a) perpendicular to the field lines (b) obliquely making and angle Θ with the field lines ​

Describe the motion of a charged particle in a magnetic field when it enters the field (a) perpendicular to the field lines (b) obliquely making and angle Θ with the field lines