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Consider the motion of a point charge q in an
electromagnetic field. Let Ē and 3 be the electric
and magnetic fields, respectively,
which can be
derived from
a scalar potential
and a vector
potential A
ƏÃ
Ē=-V6-
-
Ət
Use the potential energy given by
V(r) = 94 - 9(Ã· F).
a.
What is the lagrangian in terms of r?
b.
What is the conjugate momentum vector p. ?
Show your solution.
B = V X A

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