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 \(V\) propagates from a point \(A\) along the axis of a straight solenoid. The beam is brought into focus at a distance \(l\) from the point \(A\) at two successive values of magnetic induction \(B_{1}\) and \(B_{2}\). Find the specific charge \(q / m\) 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}}