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AP Physics 2
12.2 Magnetism and Moving Charges
BeginnerMCQProportional Analysis18.4k
A schematic diagram showing a uniform magnetic field represented by a grid of small x symbols directed into the page. On the left side, a particle with charge +q and mass m moves to the right with velocity vector v perpendicular to the field lines. A curved dashed circular arc bends upward, representing the trajectory of radius r_1. No other labels, lines, text, or axes appear.
A charged particle moving perpendicular to a uniform magnetic field.
A particle with mass \(m\), speed \(v\), and positive charge \(q\) enters a uniform magnetic field \(B\) directed perpendicular to its velocity, causing it to travel in a circular path of radius \(r_1\). A second particle with the same mass \(m\) and speed \(v\), but with charge \(2q\), enters the same magnetic field perpendicular to its velocity and travels in a circular path of radius \(r_2\). What is the ratio \(\dfrac{r_2}{r_1}\)?

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