A slab beam of electrons of thickness a, width w >> a, charge density
(-ρb ), (Take ρb to be positive.) and velocity vbez passes through a channel of
neutralizing ions with charge density f*ρb where f is some number between zero and one
(all parameters given above apply in the "lab" frame).
- Calculate the electric and magnetic fields produced by this combination of charges and currents in the region y << w / 2 .
- Find f such that there is no net force on any electron in the beam.
F[/B] = q(E + v x B)
The Attempt at a Solution
I have an idea as how to begin. But I am not very sure about it.
At any instant of time the new current flowing is given by (ρb - f *ρb)*w*a*vb. If this is the current, then the magnetic field is given by Biot Savarts law (μo/4π)*I/2R ? I just don't get this .
Can anybody guide me on how to start ?