A uniform electric field \"E\" is directed along the x-axis A uniform electric f

Question

A uniform electric field "E" is directed along the x-axis

A uniform electric field "E" is directed along the x-axis between paralle plates of charge separated by a distance "d"as shown in the figure, point charge "q" of mass"m is released from rest at appoint (A) next to the positive plate and accelerate to a point (B) next to the negative plate 1- Find the speed of the particle at (B) by modeling it as a particle under constant acceleration? terms of energy? position when it leaves the field 2- Find the speed of the particle at(B) by modeling it as a non a isolated systern in 3-Assuming the vertical position of the electron as it enters the field is "y=0", what is its vertical Sol: 1- The eleciron undergoes a downward ccelerañun Copperite E), and its motion is parabolic wile si is heneren the plates SOL: 2- -3

Explanation / Answer

1. q = Fe / m = q E / m

v^2 - vi^2 =2 a d

v^2 - 0 = 2 ( q E / m) (d )

v = sqrt[ 2 q E d / m ]

2. m v^2 / 2 = q E d

v = sqrt(2 q E d / m)

3. a = q E / m

t = L / v

y = 0 - (q E / m) (L/v)^2 / 2

y = - q E L^2 / 2 m v^2

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