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AP Physics C: E&M
12.2 Magnetism and Moving Charges
AdvancedMCQConceptual22.3k
A charged particle spiraling toward the neck of a magnetic bottle.
A charged particle spiraling toward the neck of a magnetic bottle.
A positively charged particle moves with velocity \(\vec{v}\) in a region containing a non-uniform magnetic field \(\vec{B}\) aligned generally along the \(z\)-axis (a magnetic bottle configuration). Near the "neck" of the bottle at \(z > 0\), the magnetic field lines converge toward the \(z\)-axis, introducing a radial magnetic field component \(B_r < 0\) directed toward the axis. The particle spirals around the \(z\)-axis with an azimuthal velocity component \(v_\theta\) while traveling in the \(+z\)-direction with axial speed \(v_z\). As the particle approaches the neck, its axial speed \(v_z\) decreases to zero and the particle reflects back toward \(z = 0\). Which of the following explanations correctly accounts for the axial deceleration of the particle and the work done by the magnetic field during this reflection?

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