A spherical shell of radius R centered about the origin carrying a uniform surface charge o spins at an angular velocity o = (ê sin y +î cos y) w. To evaluate the vector potential A(0,0, z) (coordinates in Cartesian coordinates) in Coulomb gauge, we %3D can evaluate 27 Ã(0,0,2) = / « dcos 0' o' dợ'R*Ÿ (e', o') (1) where one recognizes dcos 0'do'R² as an area element on the spherical shell. What is Ý before doing any of the integration? [Express your answer in terms of {@,e', ø', y,R, z,£, §, ¿}].
A spherical shell of radius R centered about the origin carrying a uniform surface charge o spins at an angular velocity o = (ê sin y +î cos y) w. To evaluate the vector potential A(0,0, z) (coordinates in Cartesian coordinates) in Coulomb gauge, we %3D can evaluate 27 Ã(0,0,2) = / « dcos 0' o' dợ'R*Ÿ (e', o') (1) where one recognizes dcos 0'do'R² as an area element on the spherical shell. What is Ý before doing any of the integration? [Express your answer in terms of {@,e', ø', y,R, z,£, §, ¿}].
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![A spherical shell of radius R centered about the origin carrying a uniform surface charge o spins at an angular velocity
o = (ê sin y +î cos y) w. To evaluate the vector potential A(0,0, z) (coordinates in Cartesian coordinates) in Coulomb gauge, we
%3D
can evaluate
27
Ã(0,0,2) = / «
dcos 0'
o' dợ'R*Ÿ (e', o')
(1)
where one recognizes dcos 0'do'R² as an area element on the spherical shell. What is Ý before doing any of the integration?
[Express your answer in terms of {@,e', ø', y,R, z,£, §, ¿}].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84640a53-42d3-4dcc-b301-0341bb84c3c7%2Fe33ff2f6-29b5-42d4-85f2-7fbfd4bed635%2Fwpe1wyl.png&w=3840&q=75)
Transcribed Image Text:A spherical shell of radius R centered about the origin carrying a uniform surface charge o spins at an angular velocity
o = (ê sin y +î cos y) w. To evaluate the vector potential A(0,0, z) (coordinates in Cartesian coordinates) in Coulomb gauge, we
%3D
can evaluate
27
Ã(0,0,2) = / «
dcos 0'
o' dợ'R*Ÿ (e', o')
(1)
where one recognizes dcos 0'do'R² as an area element on the spherical shell. What is Ý before doing any of the integration?
[Express your answer in terms of {@,e', ø', y,R, z,£, §, ¿}].
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