# 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.

Question
4 views

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?

check_circle

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:

(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:

...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in