Thank you for reporting, we will resolve it shortly
Q.
If a velocity has both perpendicular and parallel components while moving through a magnetic field, what is the path followed by a charged particle ?
Suppose, the velocity v of the particle entering the field B, instead of being perpendicular to B, makes an angle $\theta$ with it.
Then v may be resolved into two components, $V_{||}=v \cos \theta$ parallel to B and $v_{\perp}=v \sin \theta$
perpendicular to B. The component $V_{\|}$ gives a linear path and the component $V_{\perp}$ gives a circular path to the particle. The resultant of these two is a helical path whose axis is parallel to the magnetic field.
