Practice portal › Electric Charge and Properties › Motion of a Charge in an Electric Field
Asked in GUJCET 2025 · Deflection and projectile motion
Given: charge q, mass 2m, a uniform field E, released from rest, and no gravity to complicate things.
Idea: the only force acting is the electric force qE. It is constant, so the motion is uniformly accelerated from rest and the equations of motion apply directly.
a = F/(mass) = (qE)/(2m)
v = u + at = 0 + (qE)/(2m)× n
So the speed after n seconds is (qEn)/(2m) - it grows in proportion to the time, since the acceleration never changes.
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