All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.391

A beam of non-relativistic charged particles moves without deviation through the region of space AA (Fig. 3.103 ) where there are transverse mutually perpendicular electric and magnetic fields with strength EE and induction BB. When the magnetic field is switched off, the trace of the beam on the screen SS shifts by Δx.\Delta x . Knowing the distances aa and b,b, find the specific charge q/mq / m of the particles.

Reveal Answer
q/m=a(a+2b)B22EΔxq / m=\frac{a(a+2 b) B^{2}}{2 E \Delta x}