Consider a spherical shell with radius R and surface charge density a= ao cos 8, where is the polar angle in spherical coordinates and the shell is centered at the origin. a) Without computing any integral, argue why is the total charge carried by the shell zero. b) Evaluate the charge carried by the upper hemisphere, in terms of do
Consider a spherical shell with radius R and surface charge density a= ao cos 8, where is the polar angle in spherical coordinates and the shell is centered at the origin. a) Without computing any integral, argue why is the total charge carried by the shell zero. b) Evaluate the charge carried by the upper hemisphere, in terms of do
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Transcribed Image Text:Consider a spherical shell with radius R and surface charge density a= ao cos 0, where is the
polar angle in spherical coordinates and the shell is centered at the origin.
a) Without computing any integral, argue why is the total charge carried by the shell zero.
b) Evaluate the charge carried by the upper hemisphere, in terms of 0.
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