Angle of Electron Velocity Change: 8 Degrees

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SUMMARY

The angle of deflection for an electron passing through a pair of deflection plates with an electric field of 4000 N/C is calculated to be 8 degrees. The electron, initially traveling at a speed of 1.00 × 107 m/s, experiences acceleration due to the electric field over a distance of 2.00 cm. The solution involves determining the acceleration and the time the electron is subjected to this force, ultimately leading to the calculation of the angle using inverse tangent functions.

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Homework Statement


An electron is fired through a pair of deflection plates, which produce a 2.00 cm long region with an electric field of 4000 N/C perpendicular to the electron's initial velocity. If the initial speed of the electron is 1.00 × 107 m/s, what angle will its new velocity make with the direction of the original velocity?*



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The Attempt at a Solution



I know it's 8 degrees (multiple choice question) I just don't even know where to start with this. I imagine I'm going to have to use an inverse tan eventually.
 
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Start by expressing the acceleration of the electron due to the electric field. Next, determine how long the electron would experience this acceleration.
 

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