The area of the trapezoid formed by slicing a cylinder of radius R with a plane inclined at an angle α is a complex geometric problem. The trapezoid's dimensions depend on the projection of the cylinder in both the x and y axes, leading to a need for integration to accurately calculate the area. The area of the base of the cylinder is given by Abase=π*R², while the length of the path of the magnetic flux is L. The discussion emphasizes that the resulting shape is not a true trapezoid but rather a truncated ellipse, complicating the area calculation.
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magnetpedro said:In my opinion it is not. It's a trapezoid because a flux would cross all the length of the cylinder.
stedwards said:Now your talking about the projection of a cylinder into a plane, I believe. The projection would have two parallel sides corresponding to the sides of the cylinder with elliptical end caps. (Whether a projection or a slice at some non-zero angle, you don't get a trapezoid.)
Does the flux pass through the entire cylinder?