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I want answer of one question with proper hint and solution.
Question.a charged particle moving in a magnetic field of strength B perpendicular to the direction of field. if q and m denotes the charge and mass of particle respectively the frequency of particle rotating is
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The magnitude of the angular velocity,
©c =
|q| B
m
is known as the angular frequency of gyration, and is also called the gyrofrequency,
or cyclotron frequency or Larmor frequency. For an electron
|q| = 1.602 -- 10'19 coulomb and m = 9.109 -- 10'31 kg, so that
©c(electron) = 1.76 -- 1011B (rad/s) (4.11)
with B in tesla (or, equivalently, weber/m2). Similarly, for a proton
m = 1.673 -- 10'27 kg, so that
©c(proton) = 9.58 -- 107B (rad/s) (4.12)
The radius of the circular orbit, given by
rc = v⊥
©c
= mv⊥
|q| B
(4.13)
is called the radius of gyration, or gyroradius, or cyclotron radius, or
Larmor radius. It is important to note that ©c is directly proportional
to B. Consequently, as B increases, the gyrofrequency increases and the
radius decreases. Also, the smaller the particle mass the larger will be
its gyrofrequency and the smaller its gyroradius.
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bravo.
Everything is about the physical challenge for me。
Posts: 3
Threads: 0
Joined: Nov 2014
bravo.
Everything about the physical challenge for me
