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