Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface E L We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: Dnet Ф1 + Ф2+ Фз + Фху + Фxz + Ф. yz The flux through surface 1 is: 01=0. The flux through surface 2 is: 02 = The flux through surface 3 is: 03 = 1111

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter25: Gauss’s Law
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Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface.
E
L
L
We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux:
Фnet — Ф1 + Ф2 + Фз + Фху + Фxz + Фуz
The flux through surface 1 is: 01 =0.
The flux through surface 2 is: 02=
The flux through surface 3 is:
3
The flux through the surface on the xy plane is:
The flux through the surface on the xz plane is: 0
The flux through the surface on the yz plane is: Oyz
Taking the algebraic sum, the net electric flux through the cube is:
Pnet
Transcribed Image Text:Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface. E L L We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: Фnet — Ф1 + Ф2 + Фз + Фху + Фxz + Фуz The flux through surface 1 is: 01 =0. The flux through surface 2 is: 02= The flux through surface 3 is: 3 The flux through the surface on the xy plane is: The flux through the surface on the xz plane is: 0 The flux through the surface on the yz plane is: Oyz Taking the algebraic sum, the net electric flux through the cube is: Pnet
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