All questions
AP Physics C: E&M
12.2 Magnetism and Moving Charges
AdvancedMCQGraphicalConceptual13.9k
A Cartesian coordinate plane with horizontal axis labeled x and vertical axis labeled y, intersecting at the origin (0,0). At the origin, a small filled circle represents the electron, from which a single horizontal arrow labeled \(\vec{v}_0\) points directly to the right along the positive x-axis. In the region x > 0, an array of exactly six circled dots is arranged in two vertical columns of three, indicating a magnetic field directed out of the page. A text label near the upper right reads \(\vec{B} = (B_0 + \beta x)\hat{k}\). No other labels, lines, text, or axes appear.
An electron injected along the x-axis into a region of non-uniform magnetic field.
An electron of mass \(m\) and charge \(-e\) is injected at the origin \((0,0)\) into the \(xy\)-plane with an initial velocity \(\vec{v}_0 = v_0 \hat{i}\). In the region \(x \ge 0\), a non-uniform magnetic field is directed out of the page, \(\vec{B} = (B_0 + \beta x)\hat{k}\), where \(B_0\) and \(\beta\) are positive constants. The dashed curves in the graphs represent a reference circular path of radius \(R_0 = \dfrac{m v_0}{e B_0}\) corresponding to motion in a uniform magnetic field of magnitude \(B_0\). Which of the following graphs best represents the trajectory of the electron in the \(xy\)-plane?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5