An electron with charge -e and mass m travels at a speed v in a plane perpendicular to a
magnetic field of magnitude B. The electron follows a circular path of radius R. In a time, t, the
electron travels halfway around the circle. What is the amount of work done by the magnetic
field?
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the velocity
v
of the charged particle has a component parallel to the magnetic field
B
, instead of a circle, the resulting trajectory will be a helical path, as shown in figure. Because the velocity of the particle has a non-zero component along the direction of magnetic field
B
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