An electron initially at rest is accelerated through a potential difference of∆V and directed into a region with 1) two parallel plates (each parallel to the x z plane) separated by 20 mm with a potential difference of 20 V between them and 2) a uniform 0.5 T magnetic field which is parallel to the plates. The electron is directed into the gap between the parallel plates and not through a hole in one of the plates.
(a) Calculate the minimum ∆V required so that the electron feels no force as it moves through the region between the plates
.(b) Why is this just a minimum?
c) Draw the vectors~E,~B, and~vin the region between the plates for the case of minimum ∆V.
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