- #1
Jacobim
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The problem shows a picture of a surface of a half sphere. It is labeled surface 1 being the disk of the top of the half sphere. Surface 2 is the remaining surface of the half sphere. R is the radius.
The magnetic field is uniform and makes an angle theta with the vertical (or with the normal of the disk).
First I am asked to find the flux through surface 1.
The B field makes an angle theta with the normal of the flat surface. This is an easy integration resulting in
[itex]\Phi[/itex] = B cos θ ∏ R^2
The next part asks to find the magnetic flux through surface 2. This is more complicated because the angle between the normal of each dA is different. I have not been able to think of a way to relate the angle to the area in order to integrate.
Thank you for any clues.
The magnetic field is uniform and makes an angle theta with the vertical (or with the normal of the disk).
First I am asked to find the flux through surface 1.
The B field makes an angle theta with the normal of the flat surface. This is an easy integration resulting in
[itex]\Phi[/itex] = B cos θ ∏ R^2
The next part asks to find the magnetic flux through surface 2. This is more complicated because the angle between the normal of each dA is different. I have not been able to think of a way to relate the angle to the area in order to integrate.
Thank you for any clues.