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AP Physics C: E&M
12.2 Magnetism and Moving Charges
AdvancedMCQMathematicalConceptual16.4k
A charged particle in uniform gravitational and magnetic fields.
A charged particle in uniform gravitational and magnetic fields.
A small particle with mass \(m\) and positive charge \(q\) is released from rest at the origin in a region containing a uniform gravitational field \(\vec{g} = -g\hat{j}\) and a uniform magnetic field \(\vec{B} = B\hat{k}\) pointing out of the page. The particle moves in a cycloidal trajectory in the \(xy\)-plane. Which of the following correctly pairs the initial horizontal deflection direction of the particle with the ratio \(F_B / F_g\) of the magnetic force magnitude to the gravitational force magnitude at the lowest point of its trajectory?

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