PX156 - K1 - introduction

all accelerators are riffs on a basic theme: electrostatics and magneto dynamics

F = q \vec{E} + q \vec{v} \times \vec{B}

\begin{aligned} | F_{B} | & = | F_{C} | \\ ⟹ q v B & = \frac{m v^{2}}{r} \\ ∴ r & = \frac{m v}{q B} \end{aligned}