All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.374

A particle with specific charge \(q / m\) moves rectilinearly due to an electric field \(E=E_{0}-a x,\) where \(a\) is a positive constant, \(x\) is the distance from the point where the particle was initially at rest. Find: (a) the distance covered by the particle till the moment it came to a standstill; (b) the acceleration of the particle at that moment.

Reveal Answer
(a) \(x=2 E_{0} / a\) (b) \(w=q E_{0} / m\).