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Constant Velocity Lienard Wiechert Potentials
Constant Velocity Lienard-Wiechert Potentials
Feb 09, 2025
1 min read
Physics
E
(
r
,
t
)
=
k
q
(
1
−
v
2
sin
2
θ
/
c
2
)
3/2
1
−
v
2
/
c
2
R
2
R
R
≡
r
−
v
t
B
=
c
1
(
r
^
×
E
)
=
c
2
1
(
v
×
E
)
Graph View
Table of Contents
E
⃗
(
r
⃗
,
t
)
=
k
q
1
−
v
2
/
c
2
(
1
−
v
2
sin
2
θ
/
c
2
)
3
/
2
R
⃗
R
2
\displaystyle \vec{E}(\vec{r},t)=kq \frac{1-v^{2} /c^{2}}{(1-v^{2} \sin ^{2}\theta /c^{2})^{3 /2}} \frac{\vec{R}}{R^{2}}
E
(
r
,
t
)
=
k
q
(
1
−
v
2
sin
2
θ
/
c
2
)
3/2
1
−
v
2
/
c
2
R
2
R
B
⃗
=
1
c
(
r
^
×
E
⃗
)
=
1
c
2
(
v
⃗
×
E
⃗
)
\displaystyle \vec{B}=\frac{1}{c}(\mathscr{\hat{r}}\times \vec{E})=\frac{1}{c^{2}}(\vec{v}\times \vec{E})
B
=
c
1
(
r
^
×
E
)
=
c
2
1
(
v
×
E
)
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Lienard-Wiechert Potentials
