I think what joshi want is a solution to the above equations.
May be joshi was not using EJS or joshi did not know how to solve it.
It will be difficult to find a solution without know the form for the electric field E and magnetic field B.
It is relatively easy for inject a particle into a uniform magnetic field region.
You will find partial circular motion.
Assume the velocity has component parallel to magnetic field and perpendicular to component
There is no force along the magnetic field, so it will move with constant speed along the direction of magnetic field with speed
The velocity component perpendicular to magnetic field will cause particle to move in a circular orbit, which satusfy the following condition
. i.e. .
If the charged particle is in a uniform magnetic initially, then it will move with helix orbit.
However, if a charged is moving from a region where there is no magnetic field, and enter a region with uniform magnetic field.
The charged particle will exit the magnetic field within one resolution of circular motion.
Please check out [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=179.0]Electron in magnetic field [/url]