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  • an electron enters with a velocity v=v0i

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@gulamjilani

here is a similar question

An electron enters with a velocity v = v0i into a cubical region (face parallel to coordinate planes) in which there are uniform electric and magnetic fields. The orbit of the electron is found to spiral down inside the cube in a plane parallel to the x-y plane. Suggest a configuration to fields E and B that can lead to it. 

Let us consider a magnetic field B = B0 present in the region and an electron enters with a velocity into cubical region (faces parallel to coordinate planes). The force on electron, using magnetic Lorentz force, is given by

-e(v_0\hat iXB_0\hat k)=ev_0B_0\hat j

which revolves the electron in x-y plane.
The electric force F = eE0j accelerates e along z-axis which in turn increases the radius of circular path and hence particle traversed on spiral path. 

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Safeer PP

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