Motion of charge particle in electric field

motion of charge particle
Let us consider a charged particle having charge ‘q’ moves with horizontal velocity ‘v’, enters in the region of electric field strength (E) as shown in the fig. As the charged particle moves in the electric field it deviates towards the positive plate. P1. Let y be the vertical distance which the charged particle just emerges from the electric field.
Now,motion of charge particle
since initial velocity is moving with horizontal component
motion of charge particle
Also, according to Newton’s law,
motion of charge particle

Now, from equation (i), (ii) and (iii) we get,
motion of charge particle
This equation shows that the path followed by charged particle is parabolic in nature.

Now, the vertical component of velocity can be obtained as:
motion of charge particle
Now the net velocity of the charged particle when it just emerges from the electric field is,
motion of charge particle
Deflection of the charged particle from its initial path can be obtained as:
motion of charge particle
Deflection at the screen can be obtained as:
motion of charge particle

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