In your own words, explain what the idea is behind the multipole expansion? (For example: What does it accomplish? In what limits / cases is it useful? When do you need to keep the higher order terms in the expansion?) Find the two lowest-order non-vanishing terms in the multipole expansion of the poten- tial due to a uniformly charged ring of radius R carrying a total charge Q as shown in the figure. Neglect the thickness of the ring. xx α r' R y

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In your own words, explain what the idea is behind the multipole expansion? (For
example: What does it accomplish? In what limits / cases is it useful? When do you
need to keep the higher order terms in the expansion?)
Find the two lowest-order non-vanishing terms in the multipole expansion of the poten-
tial due to a uniformly charged ring of radius R carrying a total charge Q as shown in
the figure. Neglect the thickness of the ring.
xx
α
r'
R
y
Transcribed Image Text:In your own words, explain what the idea is behind the multipole expansion? (For example: What does it accomplish? In what limits / cases is it useful? When do you need to keep the higher order terms in the expansion?) Find the two lowest-order non-vanishing terms in the multipole expansion of the poten- tial due to a uniformly charged ring of radius R carrying a total charge Q as shown in the figure. Neglect the thickness of the ring. xx α r' R y
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