Problem 3.386

A non-relativistic charged particle flies through the electric field of a cylindrical capacitor and gets into a uniform transverse magnetic field with induction \(B\) (Fig. 3.100 ). In the capacitor the particle moves along the arc of a circle, in the magnetic field, along a semi-circle of radius \(r\). The potential difference applied to the capacitor is equal to \(V,\) the radii of the electrodes are equal to \(a\) and \(b\), with \(a < b\). Find the velocity of the particle and its specific charge \(q / m\)