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. We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: Onet = 0, +0, + 03 +0. + 0xz+@yz Ф. P2 ху The flux through surface 1 is: 0, =0. The flux through surface 2 is: 02 %3D The flux through surface 3 is: 03 The flux through the surface on the xy plane is: Oxy %3D The flux through the surface on the xz plane is: Oxz The flux through the surface on the yz plane is: Ovz %3D Taking the algebraic sum, the net electric flux through the cube is: Onet %3D 111
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. We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: Onet = 0, +0, + 03 +0. + 0xz+@yz Ф. P2 ху The flux through surface 1 is: 0, =0. The flux through surface 2 is: 02 %3D The flux through surface 3 is: 03 The flux through the surface on the xy plane is: Oxy %3D The flux through the surface on the xz plane is: Oxz The flux through the surface on the yz plane is: Ovz %3D Taking the algebraic sum, the net electric flux through the cube is: Onet %3D 111
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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 + Ф3 + Фху + Ф
xz Oyz
+
The flux through surface 1 is: 0ı=0.
The flux through surface 2 is:
The flux through surface 3 is: 03
%3D
The flux through the surface on the xy plane is: Oxy
The flux through the surface on the xz plane is: Oxz =
The flux through the surface on the yz plane is: Oyz
Taking the algebraic sum, the net electric flux through the cube is: Onet =
111
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