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AP Physics 2
12.2 Magnetism and Moving Charges
IntermediateMCQConceptual24.2k
A schematic diagram showing a uniform magnetic field perpendicular to the page, represented by a grid of small x symbols labeled B. Two charged particles enter the region from the bottom traveling vertically upward with speed v_0. On the left, a positive particle labeled +q moves along a counterclockwise circular trajectory of radius R. On the right, a negative particle labeled -q moves along a clockwise circular trajectory of radius R. At two points along each circular path, a velocity arrow v is drawn tangent to the curve, and a magnetic force arrow F_B is drawn pointing directly toward the center of the circle, perpendicular to the velocity arrow. No other labels, lines, text, or axes appear.
Circular paths of oppositely charged particles in a uniform magnetic field.
Two particles with equal mass \(m\) and equal charge magnitude \(q\), one positively charged (\(+q\)) and one negatively charged (\(-q\)), are launched with the same speed \(v_0\) into a region containing a uniform magnetic field \(\vec{B}\) directed perpendicular to their initial velocity vectors. Both particles follow circular paths within the magnetic field. Which of the following correctly compares the work \(W_+\) done by the magnetic field on the positive charge to the work \(W_-\) done on the negative charge after each particle completes one full revolution, and provides the correct justification?

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