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Exercise 29 Apply the boundary condition, (35), in each of the cases (a) and (b) to determine the potential everywhere. [Answer: ó (r,0) = 2V0 5 [P₁ (cos #) - ()* P₁ (cos 4)] 2V0 [(²) ² P₁ (cos 6) - () ¹ P₁ (cos 0)] 5 0

Exercise 29 Apply the boundary condition, (35), in each of the cases (a) and (b) to determine the potential everywhere. [Answer: ó (r,0) = 2V0 5 [P₁ (cos #) - ()* P₁ (cos 4)] 2V0 [(²) ² P₁ (cos 6) - () ¹ P₁ (cos 0)] 5 0

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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)
Transcribed Image Text: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)
Transcribed Image Text: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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