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A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the she

ID: 1540820 • Letter: A

Question

A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the sheet is at an angle of 58 to a uniform electric field of magnitude 20 N/C .

Part A

Find the magnitude of the electric flux through the sheet.

Express your answer using two significant figures.

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Part B

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

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Part C

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

Express your answer using two significant figures.

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Part D

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

Express your answer using two significant figures.

A flat sheet of paper of area 0.355 m2 is oriented so that the normal to the sheet is at an angle of 58 to a uniform electric field of magnitude 20 N/C .

Part A

Find the magnitude of the electric flux through the sheet.

Express your answer using two significant figures.

=   Nm2/C  

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Part B

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

Does the answer to part A depend on the shape of the sheet? yes no

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Part C

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

Express your answer using two significant figures.

=     

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Part D

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

Express your answer using two significant figures.

=

Explanation / Answer

The flux of a uniform electric field "E" crossing a plane surface "A" at angle "theta" is;

Flux = EACos(theta)

a) Flux = (20)(.355)Cos(58) = 3.76 N-m^2/C

b) No. For a plane surface the flux only depends on the area, not the shape.

c) Cos(theta) is a maximum (= 1) at theta = 0 deg (E crossing perpendicularly) and is a minumim (=0) at theta = 90 deg (E skimming over the surface)
So theta = 0 gives max flux and theta = 90 gives minimum (zero) flux

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