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Introduction to Electrodynamics
· Problem 5.2
Magnetostatics — David J. Griffiths
Physics · cycloid-motion-trajectory
Problem
Find and sketch the trajectory of the particle in Ex. 5.2, if it starts at the origin with velocity (a)
v
(
0
)
=
(
E
/
B
)
y
^
\mathbf{v}(0) = (E/B)\hat{\mathbf{y}}
v
(
0
)
=
(
E
/
B
)
y
^
, (b)
v
(
0
)
=
(
E
/
2
B
)
y
^
\mathbf{v}(0) = (E/2B)\hat{\mathbf{y}}
v
(
0
)
=
(
E
/2
B
)
y
^
, (c)
v
(
0
)
=
(
E
/
B
)
(
y
^
+
z
^
)
\mathbf{v}(0) = (E/B)(\hat{\mathbf{y}} + \hat{\mathbf{z}})
v
(
0
)
=
(
E
/
B
)
(
y
^
+
z
^
)
.
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