First slide
Motion of charged particle in uniform electric field
Question

A proton is projected with a velocity Vo towards a large sheet of charge having surface charge density σ coul/m2. From what distance should the proton be projected so that it just fails to strike the sheet of charge?

Difficult
Solution

Work done by the electric field = change in kinetic energy of the proton.

-Ed=-12mVo2σd2o=12mVo2d=omVo2σ

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