QUESTION 6 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: Onet = 01+02 + 03+@xy+ Oxz+@yz The flux through surface 1 is: 01=0. The flux through surface 2 is: 0, = P2 The flux through surface 3 is: O3 = The flux through the surface on the xy plane is: Oxy The flux through the surface on the xz plane is: %3D XZ The flux through the surface on the yz plane is: 0vz Taking the algebraic sum, the net electric flux through the cube is: Onet

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Chapter1: Units, Trigonometry. And Vectors
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QUESTION 6
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:
%3D Ф, + Ф, + Фз + Ф.
Onet
ху
+ Ovz +0,
yz
XZ
The flux through surface 1 is: 0 = 0.
The flux through surface 2 is: 0, =
The flux through surface 3 is: 03 =
The flux through the surface on the xy plane is: O
ху
The flux through the surface on the xz plane is: O x7=
The flux through the surface on the yz plane is:
Taking the algebraic sum, the net electric flux through the cube is: Onet
111
Transcribed Image Text:QUESTION 6 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: %3D Ф, + Ф, + Фз + Ф. Onet ху + Ovz +0, yz XZ The flux through surface 1 is: 0 = 0. The flux through surface 2 is: 0, = The flux through surface 3 is: 03 = The flux through the surface on the xy plane is: O ху The flux through the surface on the xz plane is: O x7= The flux through the surface on the yz plane is: Taking the algebraic sum, the net electric flux through the cube is: Onet 111
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