All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.383

A slightly divergent beam of non-relativistic charged particles accelerated by a potential difference VV propagates from a point AA along the axis of a straight solenoid. The beam is brought into focus at a distance ll from the point AA at two successive values of magnetic induction B1B_{1} and B2B_{2}. Find the specific charge q/mq / m of the particles.

Reveal Answer
q/m=8π2Vl2(B2B1)2q / m=\frac{8 \pi^{2} V}{l^{2}\left(B_{2}-B_{1}\right)^{2}}