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Motion of Charged Particle in Electric Field

When a charged particle enters with an initial velocity at right angle to the uniform field When a charged particle enters perpendicularly in an electric field, it describes a parabolic path as shown in Fig. 11.
 
37920.png
Fig. 11
 
Equation of trajectory: Throughout the motion particle has uniform velocity along x-axis and horizontal displacement (x) is given by the equation x = ut.
 
Since the motion of the particle is accelerated along y-axis, so 37578.png.
 
This is the equation of parabola which shows y x2.
 
Velocity at any instant: At any instant t, vx = u and 37586.png. So 37596.png
 
37926.png
Fig. 12
 
If β is the angle made by v with x-axis, then 37602.png




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