A non-relativistic charged particle flies through the radial electric field of a cylindrical capacit

Question

A non-relativistic charged particle flies through the radial electric field of a cylindrical capacitor and then enters a region of uniform transverse magnetic field with induction $B$. In the capacitor, the particle moves along the arc of a circle of radius $r$, and in the magnetic field, it moves along a semi-circle of the exact same radius $r$. The potential difference applied to the capacitor is $V$, and the radii of its inner and outer electrodes are $a$ and $b$ respectively ($a < b$).

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