Energy Density of a Particle Moving at Uniform Speed

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The four components of the potential of a point charge, whose position at the time
is
, at the observation points
are used to compute various electric and magnetic properties. The time component is the scalar potential
and the three space components are the vector potential (
, 0, 0). The system is rotationally symmetric around the
axis. The scalar potential for cylindrical coordinates,
, is independent of
. The observation plane is parametrized by
with
= 50 meters with an arbitrary
value. The charge enters the observation plane at time
with
. At
the charge passes the origin with positive speed
. The charge leaves the observation plane at time
. The five independent variables are
. The electric and magnetic field vectors, the Poynting vector, and the energy density are displayed on the observation plane. SI (MSKA) units are used.
Contributed by: Franz Krafft (March 2011)
Open content licensed under CC BY-NC-SA
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