Jackson 3.7 Three point charges (q,−2q,q) are located in ....

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The discussion revolves around a physics problem involving three point charges (q, -2q, q) arranged linearly with a grounded conducting spherical shell. The user has found a solution but is confused about why certain terms vanish in the calculations, specifically the terms -1/r and (1/b - 1/r). Clarification is sought regarding the conditions under which these terms disappear, particularly at l=0 and for other values of l. The inquiry highlights the complexities of electrostatics and the behavior of potential in relation to spherical symmetry. Understanding these vanishing terms is crucial for grasping the overall solution to the problem.
Pual Black
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Hi,
The question is
"
Three point charges (q,−2q,q) are located in a straight line with separation a and with the middle charge (−2q) at the origin of a grounded conducting spherical shell of radius b ..."

I have found a solution for this problem but there is one step that I don't understand. I have uploaded the pdf file.
Last page the term ##-\frac{1}{r}## vanishes and at the bottom of the page the
##\frac{1}{b}-\frac{1}{r}## vanishes too. Can you tell me why?
 

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at l=0 the term vanishes.
But what about the other values of l
 
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