Consider a sphere of radius R, the potential at the surface of the sphere is given by: V (R, 8) = cos(30) = 1.6 P3(cos 8)-0.6 P₁(cos 8). This problem can be solved using the solution of Laplace equation in spherical coordinates V(r, 8) = o(Ar¹ +B) P(cos0) For the solution outside the sphere A must equal OR -0 O1/R
Consider a sphere of radius R, the potential at the surface of the sphere is given by: V (R, 8) = cos(30) = 1.6 P3(cos 8)-0.6 P₁(cos 8). This problem can be solved using the solution of Laplace equation in spherical coordinates V(r, 8) = o(Ar¹ +B) P(cos0) For the solution outside the sphere A must equal OR -0 O1/R
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![Consider a sphere of radius R, the potential at the surface of the sphere is given by:
V (R, 8) = cos(30) = 1.6 P3(cos 8)-0.6 P₁(cos 8). This problem can be solved using
the solution of Laplace equation in spherical coordinates.
B₁
V(r, 8) = o(A₁r¹ + B) P₁(cos0)
For the solution outside the sphere A must equal
R
00
O1/R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F220c0d4d-745f-448d-97ae-ea8760e2405d%2F72b7d8fa-da3a-4d8a-bdea-8746be817f3d%2Fs4otuvf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a sphere of radius R, the potential at the surface of the sphere is given by:
V (R, 8) = cos(30) = 1.6 P3(cos 8)-0.6 P₁(cos 8). This problem can be solved using
the solution of Laplace equation in spherical coordinates.
B₁
V(r, 8) = o(A₁r¹ + B) P₁(cos0)
For the solution outside the sphere A must equal
R
00
O1/R
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