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/CFind 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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Asked Feb 5, 2020
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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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Expert Answer

Step 1

Given:

Area of the sheet, A = 0.355 m2

The angle between the normal to the sheet and the electric field, θ = 55o

The magnitude of the electric field, |E| = 12 N/C

 

Step 2

(a) Calculating the magnitude of electric flux through the sheet:

Physics homework question answer, step 2, image 1

(b) No, Answer to part A does not depend on the shape of the sheet.  For a particular electric field, the electric flux depends on the area of the sheet only. As long as the area is the same, the shape won't affect the value of the electric flux. 

Step 3

(c) Calculating the angle ϕ between the normal to the sheet and the electric field, for which the magnitude of the flux through the sheet is largest:

Physics homework question answer, step 3, image 1

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