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The drawing shows an edge-on view of two planar surfaces that intersect and are

ID: 2273073 • Letter: T

Question

The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 2.1 m2, while surface 2 has an area of 4.6 m2. The electric field E in the drawing is uniform and has a magnitude of 260 N/C. It is directed towards the two perpendicular surfaces, making an angle 35o with the bottom surface. Find the electric flux through (a) surface 1 and (b) surface 2.

The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 2.1 m2, while surface 2 has an area of 4.6 m2. The electric field E in the drawing is uniform and has a magnitude of 260 N/C. It is directed towards the two perpendicular surfaces, making an angle 35o with the bottom surface. Find the electric flux through (a) surface 1 and (b) surface 2.

Explanation / Answer

electri flux EAcos(theta)

theta = angle between the surface normal and the electic field

flux through surface 1 = 260*2.1* cos(35) = 447.26 Nm^2 / C

flux through surface 2 = 260*4.6*cos(90-35) = 686 Nm^2 /C

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