MOTION OF CHARGES IN CROSSED MAGNETIC AND ELECTRIC FIELDS
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MOTION OF CHARGES IN CROSSED MAGNETIC AND ELECTRIC FIELDS |
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Let
us consider the motion of a charge q in case of simultaneous presence
of homogeneous and constant electric (E) and magnetic
(B) fields, which are perpendicular to
initial direction of charge motion and each other (as shown in animation). We shall limit our consideration
by not relativistic case, when speed of a charge V
<< c.
For fulfillment of this condition
the intensity of electric field E must be much less than
intensity of magnetic field H. In this
approximation the trajectory of a particle is a cycloid which can be presented as the sum of two
motions: in the direction perpendicular to both fields the charge moves with constant drift speed
Vd = cE/H and
in the plane perpendicular to magnetic field
it moves in a circle path with cyclotron frequency w
= qH/mc
and radius R = | (V0-cE/H)/w
|,
where V0
is the initial speed of a charge.