Answered: Exercise 29 Apply the boundary… | bartleby

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This is in the Spherical Harmonics section - Using the equation marked 35 apply the boundary condition to determine the potential everywhere for 38.

o(a,0)= Vo cos 0 sin²0,
(35)

Exercise 29 Apply the boundary condition, (35), in each of the cases (a) and (b) to determine the
potential everywhere. [Answer:
ó (r,0) =
2Vo
5
[(7) Pi (cos #) -
³ P3 (cos 0)] 0≤r<a,
21⁰0 [(2) ² P₁ (cos 0) – (ª) * P3 (cos ℗)]
-
5
a<r.]
(38)

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