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AP Physics 2
12.2 Magnetism and Moving Charges
IntermediateMCQMathematical15k
A three-dimensional coordinate setup showing a uniform magnetic field vector B pointing horizontally to the right along the positive x-axis, represented by multiple parallel horizontal dashed arrows labeled B. At the origin, a small sphere with a plus sign representing a positive charge q moves with a velocity vector v drawn as a solid arrow pointing up and to the right in the xy-plane. An arc indicates the angle theta between the velocity vector v and the magnetic field vector B. A helical path is shown spiraling around the magnetic field lines along the positive x-axis. No other labels, lines, text, or axes appear.
Particle with velocity v entering magnetic field B at angle theta.
A particle with mass \(m\) and positive charge \(q\) enters a region containing a uniform magnetic field \(\vec{B}\) with speed \(v\) at an angle \(\theta\) (\(0^\circ < \theta < 90^\circ\)) relative to the magnetic field vector, as shown. The magnetic force causes the particle to follow a helical trajectory. Which of the following expressions represents the pitch \(p\) of the helix, defined as the distance the particle moves parallel to the magnetic field in the time it takes to complete one full revolution?

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