Consider a hollow sphere with radius R and surface potential V(0) = 5- cose. Use the general solution of Laplace equation V (r,0) = E (Ar +pi(cose) to find an expression for the potential at any point outside the sphere. a) V(r,e) cose b) V(r, 6) cose %3D c) V(r,@) cose d) V(r,8) 4R %3D Cose e) V(r,0) = R - Cose a b d e
Consider a hollow sphere with radius R and surface potential V(0) = 5- cose. Use the general solution of Laplace equation V (r,0) = E (Ar +pi(cose) to find an expression for the potential at any point outside the sphere. a) V(r,e) cose b) V(r, 6) cose %3D c) V(r,@) cose d) V(r,8) 4R %3D Cose e) V(r,0) = R - Cose a b d e
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Transcribed Image Text:Consider a hollow sphere with radius R and surface potential V(0) = 5 – cos0. Use the general solution of
Laplace equation V (r, 8) = E3 (A;r' +)Pi(cos®) to find an expression for the potential at any point
outside the sphere.
a) V(r,8) :
R3
cose
R3
cose
2R
cose
b) V(r, 8)
3R
c) V(r,6)
R3
R
cose
4R
5R
d) V (r, 8)
- cose
e) V(r,8)
a
b
C
d
e
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