The uniform current density J flows through a surface that is a spherical cap of radius R. What is the total current through this surface?
The cap is centered on the z+ axis and has angular width of 60 degrees as measured form the z+ axis.
The cap is centered on the z+ axis and has angular width of 60 degrees as measured form the z+ axis.
Anonymous
I = J S
where
S = 2 π r h
h = r (1 - cosα/2)
then
I = J 2 π r^2 (1 - cosα/2)