A circular conductor with the current
and the radius
lies in the
plane at
. The vector potential
in the
direction as a function of
and
has the same symmetry as the current density in cylindrical coordinates
,
,
. According to the cylindrical symmetry the observation points in the
plane can be taken at
. The source is described by the angle
, running from
to
. The following computations are made:
• the magnetic field
in the
direction
• the magnetic field
in the
direction
• the magnetic energy density
• the integrated magnetic field
in the
direction
• the integrated magnetic field
in the
direction
• the integrated magnetic energy density
• the integrated vector potential
in the
direction
The fields at
can be regarded as a good approximation of the integrated fields. The four field
,
,
,
are displayed for the four independent variables
,
,
,
. The observation points are described by
,
and the source by
,
.
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