A laboratory apparatus produces a uniform magnetic field directed straight downward

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A laboratory apparatus produces a uniform magnetic field directed straight downward. Three narrow, identically charged particle beams—labeled A, B, and C—enter the field region from the left. In each beam the particles all have the same speed vv and the same positive charge qq. Their velocity vectors make respective angles of 20∘20^\circ, 75∘75^\circ, and 130∘130^\circ measured from the direction of the magnetic field (angles are defined between the velocity vector and the field, with 0∘0^\circ indicating parallel and 180∘180^\circ antiparallel). (a) Rank the beams according to the magnitude of the magnetic force experienced by a single particle, from greatest to least. Clearly justify your ranking. (b) Do any two beams experience the same magnitude of magnetic force? Explain your reasoning. (c) For beam B, use an appropriate right-hand rule to describe the direction of the magnetic force on the particles relative to the laboratory coordinate axes (upward, downward, left, right, into the page, or out of the page).

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