Electron · Estonian PhO 2017 #3

Physics · electromagnetism

Problem

\begin{wrapfigure}[7]{r}{0.5\linewidth} \vspace{-10pt} \hspace{-10pt} [image — see PDF] \end{wrapfigure} An electron is moving in vacuum and enters a region of space between parallel plates from the area’s upper edge so that the electron’s velocity is parallel to the plates (see figure). How big is the electron’s minimal possible speed vminv_\mathrm{min} when exiting the area of space between the plates? The length of the plates is ll and the distance between them is dd. Between the plates there is a homogeneous electric field E⃗\vec{E}, neglect edge effects. The electron’s charge is qq and its mass is mm. Neglect the gravitational force.

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