Deflection of an Electron Beam by an Electric Field and Deflection of an Electron Beam and Velocity
By: John Greavu
Partners: Shane Ruff, Hannah Eshenaur, & David Sturg
Professor: John Capriotti
TA: Barun Dhar
July 19, 2013
OBJECTIVE:
The objective of this lab was to scientifically determine the deflection of an electron from its original path due to its passing through an electric field as a function of the electric field strength (problem 4), as well as its initial speed (problem 5). The deflection of the electron, , is dependent on the magnitude of the electric field, , and the initial speed of the electron, . In one scenario, the accelerating plates’ voltage, VACC, would be held constant, while in another, the voltage of the deflecting plates, VPLATES, would be held constant.
PREDICTION:
In attempting to build a beam for an electron microscope, the question of whether or not an electron’s trajectory is analogous to that of a bullet was posed. This lab was constructed in an attempt to answer that question. We used a cathode ray tube (CRT) in which an electron beam was cast onto a screen with a graph imprinted on it to model this question and thus, record the deflection of an electron from its original axis (see EXPERIMENTAL SET UP AND PROCEDURE below).
The variables we considered for measuring the electron’s deflection in this lab included the magnitude of the electric field, , the electron’s initial speed, , intrinsic properties of the electron (its mass, , and charge ), and the distances within the CRT in which the electron traveled: (the distance from the origin to the first metal deflecting plate), (the length of the deflecting plates), s (the distance between the two deflecting plates), and (the distance from the second plate to the coordinate screen–on which the electron’s deflection would be measured).
The total displacement, is equal to the displacement caused by vertical acceleration () while traveling through