# Energy Density of a Particle Moving at Uniform Speed

Energy Density of a Particle Moving at Uniform Speed

The four components of the potential ϕ,ϕ,0,0 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 (ϕ, 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.

A

μ

v

2

c

t

(vt,0,0)

-∞<t,x,y,z<∞

ϕ

v

2

c

x

ϕ(t,ρ,φ,x,v)

φ

-h<x,y<+h

h

z

-h/v

1×m/s<v<2.99×m/s

8

10

8

10

t=0

v

h/v

t,x,y,z,v