A1 A The figure shows a cylindrical Gaussian surface intersecting a sheet of charge. The total charge on the sheet is 2 q and the area of the sheet is A = 3 m^2. If the cross sectional area of the cylinder is A' = 0.07 m^2, then what is the net electric flux through the Gaussian cylinder (in units of g/ɛn.

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The figure shows a cylindrical Gaussian surface intersecting a sheet of charge. The total charge on the
sheet is 2 q and the area of the sheet is A
m^2, then what is the net electric flux through the Gaussian cylinder (in units of q/ɛo.
3 m^2. If the cross sectional area of the cylinder is A' = 0.07
%3D
%3D
Transcribed Image Text:A' The figure shows a cylindrical Gaussian surface intersecting a sheet of charge. The total charge on the sheet is 2 q and the area of the sheet is A m^2, then what is the net electric flux through the Gaussian cylinder (in units of q/ɛo. 3 m^2. If the cross sectional area of the cylinder is A' = 0.07 %3D %3D
Expert Solution
Step 1

As Gauss' Law states the flux is directly proportional to the charge contained in the volume.

Assuming that the charge on sheet is uniformly distributed, its density is,

ρ=2qA=2q3   (1)

 

The charge contained in cylinder is then given by,

q'=ρA'q'=2q3(0.07)q'=0.0467q    (2)

 

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