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Title: Mar 23 8:01 AM (1 of 10)
29.4 Motion of a Charged Particle in a Uniform B FieldFor
F = qv x B,F is perpendicular to v. So this force changes the direction
of v, but not its magnitude==> this is a radial force which will produce uniform circular motion.
Take v perpendicular to B:(and q > 0)
Title: Mar 23 8:11 AM (2 of 10)
If v has a component || to B, then
This charged object will spiral along the field lines.
Title: Mar 23 8:22 AM (3 of 10)
Example: An electron with v = 2.00 x 10^7 m/s is trapped in a 2.00T magnetic field (with v perpendicular to B).a) Find the radius of the electron's "orbit."
b) What's the magnitude of the force on the electron?
c) Find the cyclotron frequency.
Title: Mar 23 8:31 AM (4 of 10)
29.5 ApplicationsTake both E field & B present together:
F = qE + qv xB.
Velocity Selector:
Title: Mar 23 8:49 AM (5 of 10)
Mass Spectrometer:
You get different R'sfor different m's or q's.
(For different isotopesof the same element, or
for different element...
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