The figure shows a cylindrical Gaussian surface intersecting a sheet of charge.
ID: 2127884 • Letter: T
Question
The figure shows a cylindrical Gaussian surface intersecting a sheet of charge. The total charge on the sheet is 4 q and the area of the sheet is A = 7 m^2. If the cross sectional area of the cylinder is A' = 0.09 m^2, then what is the net electric flux through the Gaussian cylinder (in units of q/?0.
The figure shows a cylindrical Gaussian surface intersecting a sheet of charge. The total charge on the sheet is 4 q and the area of the sheet is A = 7 m^2. If the cross sectional area of the cylinder is A' = 0.09 m^2, then what is the net electric flux through the Gaussian cylinder (in units of q/?0.Explanation / Answer
Given
Area of the sheet A = 7 m2
Crosssectional area of the cylinder A’ = 0.09 m2
Charge on the sheet Q = 4q
Solution
Surface charge density of the sheet = Q/A
Charge enclosed by the cylinder q’ = A’
Flux inside the cylinder
= q’/o
= A’/o
= Q A’/Ao
= 4qA’/Ao
= 4 x q x 0.09 / 7 x 8.854 x 10-12
= 5.8q x 109 Nm2/C
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