All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.375

An electron starts moving in a uniform electric field of strength \(E=10 \mathrm{kV} / \mathrm{cm} .\) How soon after the start will the kinetic energy of the electron become equal to its rest energy?

Reveal Answer
t=T(T+2m0C2)ceE=3.0 nst=\frac{\sqrt{T\left(T+2 m_{0} C^{2}\right)}}{c e E}=3.0 \mathrm{~ns}