http://imageshack.us/photo/my-images/842/ch19prob1939.jpg/ The figure above show
ID: 2027851 • Letter: H
Question
http://imageshack.us/photo/my-images/842/ch19prob1939.jpg/
The figure above shows, at a particular instant of time, the velocity vectors of four identical charged particles. The particles are in a uniform magnetic field directed to the right. We will assume that the particles are influenced only by the magnetic field.
(a) Rank the four particles based on the magnitude of the magnetic force experienced by the particles at the instant shown in the picture, from largest to smallest. Use only > and/or = signs in your rankings, such as 3>1=4>2.
Explanation / Answer
The force on a charged particle in a magnetic field is proportional to the velocity vector perpendicular to the magnetic field, so what matters is the y-component of the vectors (ignore the x-components); the particles with higher absolute values experience greater force. This ranks them, in order of greatest force to least force, 1=3>2=4.
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