Consider the hemispherical closed surface in Figure P30.34. The hemisphere is in a uniform magnetic field that makes an angle θ with the vertical.
(a) Calculate the magnetic flux through the flat surface (S1), using pi for π, theta for θ, B, and R as necessary.
(b) Calculate the magnetic flux through the hemispherical surface (S2), using pi for π, theta for θ, B, and R as necessary.
Magnetic Flux =
[Surface integral](B (dot) dA)
(My apologies for...not knowing how to insert equations yet)
The Attempt at a Solution
Well, the problem states the magnetic field is uniform, so, at least for the flat surface, I should be able to pull the "B" out of the integral, as well as the cos(theta) so, you are left with Bcos(theta)piR^(2), (the area of surface one). Yet it is incorrect. For part b, I would assume it would be the same as part a, seeing as how it is a surface integral. (If my concept of surface integrals are correct)
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