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The figure below represents the top view of a cubic surface in a uniform electric field...

The figure below represents the top view of a cubic surface in a uniform electric field oriented parallel to the top and bottom faces of the cube. The field makes an angle θ=40o with side and the area of each face is A

. a) Draw an area vector A for each face, , , , b) Label the angle between the area vector A and the electric field vector E for each face. c) Find flux through each face. In symbolic form, find the electric flux through face . Φ1=EAcos (_______) = In symbolic form, find the electric flux through face . Φ2=EAcos (_______) = In symbolic form, find the electric flux through face . Φ3=EAcos (_______) = In symbolic form, find the electric flux through face . Φ4=EAcos (_______) = In symbolic form, find the electric flux through top face. Φtop=EAcos (_______) = In symbolic form, find the electric flux through bottom face.Φbottom=EAcos (_______) = What is the net electric flux through the cube? You must show/prove how you get your answer. d) How much charge is enclosed within the cube? How do you know? e) Would the answer to c) have changed if the cube were replaced with a sphere? Explain why or why not.

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ab a) an A 片ngle blu) face ③ face ④ Top fade 17-90-е 90° 10° Tob Total 月ニ Co EA (CAB-Sfn@)

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