A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the sheet is at an angle of 55 ∘  to a uniform electric field of magnitude 12 N/C Find the magnitude of the electric flux through the sheet. Does the answer to part A depend on the shape of the sheet? For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet largest?   For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet smallest?   Explain your answers in parts C and D.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter25: Gauss’s Law
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A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the sheet is at an angle of 55 ∘  to a uniform electric field of magnitude 12 N/C

Find the magnitude of the electric flux through the sheet.

Does the answer to part A depend on the shape of the sheet?

For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet largest?
 
For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet smallest?
 
Explain your answers in parts C and D.
 
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