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The
Electromagnetic
Field outside
the Steadily
Rotating
Relativistic
Uniform System
Sergey G.
Fedosin
P.O. Box 614088,
Sviazeva Str.
22-79, Perm,
Perm Krai,
Russia.
Corresponding
Author:
Sergey G.
Fedosin
Email:
sergey.fedosin@gmail.com
Doi: https://doi.org/10.47011/14.5.1
Cited by :
Jordan J. Phys.,
14 (5) (2021)
379-408
PDF
Received
on:
14/01/2021;
Accepted
on:
24/06/2021
Abstract:
Using
the
method
of
retarded
potentials,
approximate
formulae
are
obtained
that
describe
the
electromagnetic
field
outside
the
relativistic
uniform
system
in the
form of
a
charged
sphere
rotating
at a
constant
speed.
For the
near,
middle
and far
zones,
the
corresponding
expressions
are
found
for the
scalar
and
vector
potentials,
as well
as for
the
electric
and
magnetic
fields.
Then,
these
expressions
are
assessed
for
correspondence
to the
Laplace
equations
for
potentials
and
fields.
One of
the
purposes
is to
test the
truth of
the
assumption
that the
scalar
potential
and the
electric
field
depend
neither
on the
value of
the
angular
velocity
of
rotation
of the
sphere
nor on
the
direction
to the
point
where
the
field is
measured.
However,
calculations
show
that
potentials
and
fields
increase
as the
observation
point
gets
closer
to the
sphere’s
equator
and to
the
sphere’s
surface,
compared
with the
case for
a
stationary
sphere.
In this
case,
additions
are
proportional
to the
square
of the
angular
velocity
of
rotation
and the
square
of the
sphere’s
radius
and
inversely
proportional
to the
square
of the
speed of
light.
The
largest
found
relative
increase
in
potentials
and
fields
could
reach
the
value of
4% for
the
rapidly
rotating
neutron
star PSR
J1614-2230,
if the
star
were
charged.
For a
proton,
a
similar
increase
in
fields
on its
surface
near the
equator
reaches
54%.
Keywords:
Electromagnetic
field,
Relativistic
uniform
system,
Rotation.
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