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: net =@1+@2+03+0xv xz + Oyz The flux through surface 1 is: 0, = 0. The flux through surface 2 is: 02= The flux through surface 3 is: 03: %3D The flux through the surface on the xy plane is: ху The flux through the surface on the xz plane is: XZ The flux through the surface on the yz plane is: 0 %3D yz Taking the algebraic sum, the net electric flux through the cube is: Onet 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. 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: net =@1+@2+03+0xv xz + Oyz The flux through surface 1 is: 0, = 0. The flux through surface 2 is: 02= The flux through surface 3 is: 03: %3D The flux through the surface on the xy plane is: ху The flux through the surface on the xz plane is: XZ The flux through the surface on the yz plane is: 0 %3D yz Taking the algebraic sum, the net electric flux through the cube is: Onet 111
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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:
Onet = 01+@2 +®3+Oxy+xz+®yz
ху
X,
The flux through surface 1 is: 0, = 0.
The flux through surface 2 is: 02=
The flux through surface 3 is: 03
The flux through the surface on the xy plane is: ®xy=
The flux through the surface on the xz plane is: Oxz=
The flux through the surface on the yz plane is: 0,
yz
Taking the algebraic sum, the net electric flux through the cube is: Onet
111](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9006dc72-c542-49b7-b4e1-95f5215da2e2%2F5993567f-34f9-4cc9-8a25-8a6405c427c9%2Ffp14i0p_processed.png&w=3840&q=75)
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:
Onet = 01+@2 +®3+Oxy+xz+®yz
ху
X,
The flux through surface 1 is: 0, = 0.
The flux through surface 2 is: 02=
The flux through surface 3 is: 03
The flux through the surface on the xy plane is: ®xy=
The flux through the surface on the xz plane is: Oxz=
The flux through the surface on the yz plane is: 0,
yz
Taking the algebraic sum, the net electric flux through the cube is: Onet
111
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