# Summary

Using the experiment we have detected the following relationships:
• The higher the plate voltage $$V_{\rm{p}}$$ of the capacitor, the bigger the deflection in y-direction.
• The stronger the electric field $$E$$ between the capacitor plates, the bigger the defelction in y-direction.
• The higher the acceleration voltage $$V_{\rm{a}}$$ of the electron gun, the smaller the deflection in y-direction.
• The higher the electron speed $$v_{\rm{0}}$$ when leaving the electron gun, the smaller the deflection in y-direction.
In the following, you can now investigate these qualitative relationships quantitatively in more detail. The goal is to obtain an exact mathematical description of the electron trajectory in the transverse field. You can do this either in the section Experiment with the help of a step-by-step investigation of the influence of the different parameters on the trajectory or in the section Force analysis via an investigation of the acting forces. Of course, you can also follow both paths in succession to get a complete overview.