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A flat sheet of paper of area 0.235 m2 is oriented so that the normal to...

A flat sheet of paper of area 0.235 m2 is oriented so that the normal to the sheet is at an angle of 56∘ to a uniform electric field of magnitude 12 N/C.

a. Find the magnitude of the electric flux through the sheet.


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

c. For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet largest?

d. For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet smallest?

e. Explain your answers in parts C and D.

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