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A uniform electric field E exists betwee...

A uniform electric field E exists between two charged plates as shown in Fig.HQ 2. What would be the work donw in moving a charge q along the closed rectangular path ABCDA?

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A particle of mass m and charge (-q) enters the region between the two charged plates initially moving along x-axis with speed v_x. The length of plate is L and an uniform electric field E is maintained between the plates. Show that the vertical deflection of the particle at the far edge of the plate is qEL^2//(2m v_x^2) .